{Daryanoosh}}, \bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
{Slussarenko}}, \bibinfo {author} {\bibfnamefont {D.~W.}\ \bibnamefont
{Berry}}, \bibinfo {author} {\bibfnamefont {H.~M.}\ \bibnamefont {Wiseman}},\
and\ \bibinfo {author} {\bibfnamefont {G.~J.}\ \bibnamefont {Pryde}},\
}\bibfield  {title} {\bibinfo {title} {Experimental optical phase measurement
approaching the exact {H}eisenberg limit},\ }\href
{https://doi.org/10.1038/s41467-018-06601-7} {\bibfield  {journal} {\bibinfo
{journal} {Nature Communications}\ }\textbf {\bibinfo {volume} {9}},\
\bibinfo {pages} {4606} (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Zhao}\ \emph {et~al.}(2005)\citenamefont {Zhao},
\citenamefont {Zhang}, \citenamefont {Chen}, \citenamefont {Zhang},
\citenamefont {Du}, \citenamefont {Yang},\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {Z.}~\bibnamefont
{Zhao}}, \bibinfo {author} {\bibfnamefont {A.-N.}\ \bibnamefont {Zhang}},
\bibinfo {author} {\bibfnamefont {Y.-A.}\ \bibnamefont {Chen}}, \bibinfo
{author} {\bibfnamefont {H.}~\bibnamefont {Zhang}}, \bibinfo {author}
{\bibfnamefont {J.-F.}\ \bibnamefont {Du}}, \bibinfo {author} {\bibfnamefont
{T.}~\bibnamefont {Yang}},\ and\ \bibinfo {author} {\bibfnamefont {J.-W.}\
\bibnamefont {Pan}},\ }\bibfield  {title} {\bibinfo {title} {Experimental
demonstration of a nondestructive controlled-not quantum gate for two
independent photon qubits},\ }\href
{https://doi.org/10.1103/PhysRevLett.94.030501} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {94}},\
\bibinfo {pages} {030501} (\bibinfo {year} {2005})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Bao}\ \emph {et~al.}(2007)\citenamefont {Bao},
\citenamefont {Chen}, \citenamefont {Zhang}, \citenamefont {Yang},
\citenamefont {Zhang}, \citenamefont {Yang},\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {X.-H.}\ \bibnamefont
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\bibinfo {author} {\bibfnamefont {Q.}~\bibnamefont {Zhang}}, \bibinfo
{author} {\bibfnamefont {J.}~\bibnamefont {Yang}}, \bibinfo {author}
{\bibfnamefont {H.}~\bibnamefont {Zhang}}, \bibinfo {author} {\bibfnamefont
{T.}~\bibnamefont {Yang}},\ and\ \bibinfo {author} {\bibfnamefont {J.-W.}\
\bibnamefont {Pan}},\ }\bibfield  {title} {\bibinfo {title} {Optical
nondestructive controlled-not gate without using entangled photons},\ }\href
{https://doi.org/10.1103/PhysRevLett.98.170502} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {98}},\
\bibinfo {pages} {170502} (\bibinfo {year} {2007})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Gao}\ \emph {et~al.}(2010)\citenamefont {Gao},
\citenamefont {Goebel}, \citenamefont {Lu}, \citenamefont {Dai},
\citenamefont {Wagenknecht}, \citenamefont {Zhang}, \citenamefont {Zhao},
\citenamefont {Peng}, \citenamefont {Chen}, \citenamefont {Chen} \emph
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {W.-B.}\ \bibnamefont
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\bibinfo {author} {\bibfnamefont {C.-Y.}\ \bibnamefont {Lu}}, \bibinfo
{author} {\bibfnamefont {H.-N.}\ \bibnamefont {Dai}}, \bibinfo {author}
{\bibfnamefont {C.}~\bibnamefont {Wagenknecht}}, \bibinfo {author}
{\bibfnamefont {Q.}~\bibnamefont {Zhang}}, \bibinfo {author} {\bibfnamefont
{B.}~\bibnamefont {Zhao}}, \bibinfo {author} {\bibfnamefont {C.-Z.}\
\bibnamefont {Peng}}, \bibinfo {author} {\bibfnamefont {Z.-B.}\ \bibnamefont
{Chen}}, \bibinfo {author} {\bibfnamefont {Y.-A.}\ \bibnamefont {Chen}},
\emph {et~al.},\ }\bibfield  {title} {\bibinfo {title} {Teleportation-based
realization of an optical quantum two-qubit entangling gate},\ }\href
{https://doi.org/10.1073/pnas.1005720107} {\bibfield  {journal} {\bibinfo
{journal} {Proceedings of the National Academy of Sciences}\ }\textbf
{\bibinfo {volume} {107}},\ \bibinfo {pages} {20869} (\bibinfo {year}
{2010})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Okamoto}\ \emph {et~al.}(2011)\citenamefont
{Okamoto}, \citenamefont {O’Brien}, \citenamefont {Hofmann},\ and\
\citenamefont {Takeuchi}}]{okamoto2011realization}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {R.}~\bibnamefont
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{Hofmann}},\ and\ \bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
{Takeuchi}},\ }\bibfield  {title} {\bibinfo {title} {Realization of a
knill-laflamme-milburn controlled-not photonic quantum circuit combining
effective optical nonlinearities},\ }\href
{https://doi.org/10.1073/pnas.101883910} {\bibfield  {journal} {\bibinfo
{journal} {Proceedings of the National Academy of Sciences}\ }\textbf
{\bibinfo {volume} {108}},\ \bibinfo {pages} {10067} (\bibinfo {year}
{2011})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Li}\ \emph {et~al.}(2021)\citenamefont {Li},
\citenamefont {Gu}, \citenamefont {Qin}, \citenamefont {Wu}, \citenamefont
{You}, \citenamefont {Wang}, \citenamefont {Schneider}, \citenamefont
{H\"ofling}, \citenamefont {Huo}, \citenamefont {Lu}, \citenamefont {Liu},
\citenamefont {Li},\ and\ \citenamefont {Pan}}]{spscnot}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {J.-P.}\ \bibnamefont
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{author} {\bibfnamefont {J.}~\bibnamefont {Qin}}, \bibinfo {author}
{\bibfnamefont {D.}~\bibnamefont {Wu}}, \bibinfo {author} {\bibfnamefont
{X.}~\bibnamefont {You}}, \bibinfo {author} {\bibfnamefont {H.}~\bibnamefont
{Wang}}, \bibinfo {author} {\bibfnamefont {C.}~\bibnamefont {Schneider}},
\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont {H\"ofling}}, \bibinfo
{author} {\bibfnamefont {Y.-H.}\ \bibnamefont {Huo}}, \bibinfo {author}
{\bibfnamefont {C.-Y.}\ \bibnamefont {Lu}}, \bibinfo {author} {\bibfnamefont
{N.-L.}\ \bibnamefont {Liu}}, \bibinfo {author} {\bibfnamefont
{L.}~\bibnamefont {Li}},\ and\ \bibinfo {author} {\bibfnamefont {J.-W.}\
\bibnamefont {Pan}},\ }\bibfield  {title} {\bibinfo {title} {Heralded
nondestructive quantum entangling gate with single-photon sources},\ }\href
{https://doi.org/10.1103/PhysRevLett.126.140501} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {126}},\
\bibinfo {pages} {140501} (\bibinfo {year} {2021})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Zeuner}\ \emph {et~al.}(2018)\citenamefont {Zeuner},
\citenamefont {Sharma}, \citenamefont {Tillmann}, \citenamefont {Heilmann},
\citenamefont {Gräfe}, \citenamefont {Moqanaki}, \citenamefont {Szameit},\
and\ \citenamefont {Walther}}]{Zeuner2018}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {J.}~\bibnamefont
{Zeuner}}, \bibinfo {author} {\bibfnamefont {A.~N.}\ \bibnamefont {Sharma}},
\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Tillmann}}, \bibinfo
{author} {\bibfnamefont {R.}~\bibnamefont {Heilmann}}, \bibinfo {author}
{\bibfnamefont {M.}~\bibnamefont {Gräfe}}, \bibinfo {author} {\bibfnamefont
{A.}~\bibnamefont {Moqanaki}}, \bibinfo {author} {\bibfnamefont
{A.}~\bibnamefont {Szameit}},\ and\ \bibinfo {author} {\bibfnamefont
{P.}~\bibnamefont {Walther}},\ }\bibfield  {title} {\bibinfo {title}
{Integrated-optics heralded controlled-{NOT} gate for polarization-encoded
qubits},\ }\href {https://doi.org/10.1038/s41534-018-0068-0} {\bibfield
{journal} {\bibinfo  {journal} {npj Quantum Information}\ }\textbf {\bibinfo
{volume} {4}},\ \bibinfo {pages} {13} (\bibinfo {year} {2018})}\BibitemShut
\bibitem [{\citenamefont {Lawrence}(2014)}]{lawrence2014rotational}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {J.}~\bibnamefont
{Lawrence}},\ }\bibfield  {title} {\bibinfo {title} {Rotational covariance
and {G}reenberger-{H}orne-{Z}eilinger theorems for three or more particles of
any dimension},\ }\href {https://doi.org/10.1103/PhysRevA.89.012105}
{\bibfield  {journal} {\bibinfo  {journal} {Phys. Rev. A}\ }\textbf {\bibinfo
{volume} {89}},\ \bibinfo {pages} {012105} (\bibinfo {year}
{2014})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Vaidman}\ \emph {et~al.}(1987)\citenamefont
{Vaidman}, \citenamefont {Aharonov},\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {L.}~\bibnamefont
{Vaidman}}, \bibinfo {author} {\bibfnamefont {Y.}~\bibnamefont {Aharonov}},\
and\ \bibinfo {author} {\bibfnamefont {D.~Z.}\ \bibnamefont {Albert}},\
}\bibfield  {title} {\bibinfo {title} {How to ascertain the values of
${\mathrm{\ensuremath{\sigma}}}_{\mathrm{y}}$, and
${\mathrm{\ensuremath{\sigma}}}_{\mathrm{z}}$ of a spin-1/2 particle},\
}\href {https://doi.org/10.1103/PhysRevLett.58.1385} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {58}},\
\bibinfo {pages} {1385} (\bibinfo {year} {1987})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Peres}(1999)}]{peres1999all}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
{Peres}},\ }\bibfield  {title} {\bibinfo {title} {All the {B}ell
inequalities},\ }\href {https://doi.org/10.1023/A:1018816310000} {\bibfield
{journal} {\bibinfo  {journal} {Foundations of Physics}\ }\textbf {\bibinfo
{volume} {29}},\ \bibinfo {pages} {589} (\bibinfo {year} {1999})}\BibitemShut
\bibitem [{\citenamefont {Moroder}\ \emph {et~al.}(2014)\citenamefont
{Moroder}, \citenamefont {Gittsovich}, \citenamefont {Huber},\ and\
\citenamefont {G\"uhne}}]{moroder2014steering}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {T.}~\bibnamefont
{Moroder}}, \bibinfo {author} {\bibfnamefont {O.}~\bibnamefont {Gittsovich}},
\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Huber}},\ and\ \bibinfo
{author} {\bibfnamefont {O.}~\bibnamefont {G\"uhne}},\ }\bibfield  {title}
{\bibinfo {title} {Steering bound entangled states: A counterexample to the
stronger peres conjecture},\ }\href
{https://doi.org/10.1103/PhysRevLett.113.050404} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {113}},\
\bibinfo {pages} {050404} (\bibinfo {year} {2014})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {V{\'e}rtesi}\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {T.}~\bibnamefont
{V{\'e}rtesi}}\ and\ \bibinfo {author} {\bibfnamefont {N.}~\bibnamefont
{Brunner}},\ }\bibfield  {title} {\bibinfo {title} {Disproving the peres
conjecture by showing {B}ell nonlocality from bound entanglement},\ }\href
{https://doi.org/10.1038/ncomms6297} {\bibfield  {journal} {\bibinfo
{journal} {Nature Communications}\ }\textbf {\bibinfo {volume} {5}},\
\bibinfo {pages} {1} (\bibinfo {year} {2014})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Einstein}\ \emph {et~al.}(1935)\citenamefont
{Einstein}, \citenamefont {Podolsky},\ and\ \citenamefont {Rosen}}]{epr1935}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
{Einstein}}, \bibinfo {author} {\bibfnamefont {B.}~\bibnamefont {Podolsky}},\
and\ \bibinfo {author} {\bibfnamefont {N.}~\bibnamefont {Rosen}},\ }\bibfield
{title} {\bibinfo {title} {Can quantum-mechanical description of physical
reality be considered complete?},\ }\href
{https://doi.org/10.1103/PhysRev.47.777} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev.}\ }\textbf {\bibinfo {volume} {47}},\ \bibinfo {pages}
{777} (\bibinfo {year} {1935})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Bell}(1964)}]{Belltheorem}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {J.~S.}\ \bibnamefont
{Bell}},\ }\bibfield  {title} {\bibinfo {title} {On the einstein podolsky
rosen paradox},\ }\href {https://doi.org/10.1103/PhysicsPhysiqueFizika.1.195}
{\bibfield  {journal} {\bibinfo  {journal} {Physics}\ }\textbf {\bibinfo
{volume} {1}},\ \bibinfo {pages} {195} (\bibinfo {year} {1964})}\BibitemShut
\bibitem [{\citenamefont {Greenberger}\ \emph {et~al.}(1989)\citenamefont
{Greenberger}, \citenamefont {Horne},\ and\ \citenamefont {Zeilinger}}]{ghz}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {D.~M.}\ \bibnamefont
{Greenberger}}, \bibinfo {author} {\bibfnamefont {M.~A.}\ \bibnamefont
{Horne}},\ and\ \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
{Zeilinger}},\ }\bibfield  {title} {\bibinfo {title} {Going beyond {B}ell’s
theorem},\ }in\ \href {https://doi.org/10.1007/978-94-017-0849-4_10} {\emph
{\bibinfo {booktitle} {Bell’s theorem, quantum theory and conceptions of
the universe}}}\ (\bibinfo  {publisher} {Springer},\ \bibinfo {year} {1989})\
pp.\ \bibinfo {pages} {69--72}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Greenberger}\ \emph {et~al.}(1990)\citenamefont
{Greenberger}, \citenamefont {Horne}, \citenamefont {Shimony},\ and\
\citenamefont {Zeilinger}}]{greenberger1990bell}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {D.~M.}\ \bibnamefont
{Greenberger}}, \bibinfo {author} {\bibfnamefont {M.~A.}\ \bibnamefont
{Horne}}, \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont {Shimony}},\
and\ \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont {Zeilinger}},\
}\bibfield  {title} {\bibinfo {title} {Bell’s theorem without
inequalities},\ }\href {https://doi.org/10.1119/1.16243} {\bibfield
{journal} {\bibinfo  {journal} {American Journal of Physics}\ }\textbf
{\bibinfo {volume} {58}},\ \bibinfo {pages} {1131} (\bibinfo {year}
{1990})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Pan}\ \emph {et~al.}(2000)\citenamefont {Pan},
\citenamefont {Bouwmeester}, \citenamefont {Daniell}, \citenamefont
{Weinfurter},\ and\ \citenamefont {Zeilinger}}]{pan2000experimental}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {J.-W.}\ \bibnamefont
{Pan}}, \bibinfo {author} {\bibfnamefont {D.}~\bibnamefont {Bouwmeester}},
\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Daniell}}, \bibinfo
{author} {\bibfnamefont {H.}~\bibnamefont {Weinfurter}},\ and\ \bibinfo
{author} {\bibfnamefont {A.}~\bibnamefont {Zeilinger}},\ }\bibfield  {title}
{\bibinfo {title} {Experimental test of quantum nonlocality in three-photon
{G}reenberger--{H}orne--{Z}eilinger entanglement},\ }\href
{https://doi.org/10.1038/35000514} {\bibfield  {journal} {\bibinfo  {journal}
{Nature}\ }\textbf {\bibinfo {volume} {403}},\ \bibinfo {pages} {515}
(\bibinfo {year} {2000})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Ryu}\ \emph {et~al.}(2014)\citenamefont {Ryu},
\citenamefont {Lee}, \citenamefont {Yin}, \citenamefont {Rahaman},
\citenamefont {Angelakis}, \citenamefont {Lee},\ and\ \citenamefont
{\ifmmode~\dot{Z}\else \.{Z}\fi{}ukowski}}]{ryu2014multisetting}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {J.}~\bibnamefont
{Ryu}}, \bibinfo {author} {\bibfnamefont {C.}~\bibnamefont {Lee}}, \bibinfo
{author} {\bibfnamefont {Z.}~\bibnamefont {Yin}}, \bibinfo {author}
{\bibfnamefont {R.}~\bibnamefont {Rahaman}}, \bibinfo {author} {\bibfnamefont
{D.~G.}\ \bibnamefont {Angelakis}}, \bibinfo {author} {\bibfnamefont
{J.}~\bibnamefont {Lee}},\ and\ \bibinfo {author} {\bibfnamefont
{M.}~\bibnamefont {\ifmmode~\dot{Z}\else \.{Z}\fi{}ukowski}},\ }\bibfield
{title} {\bibinfo {title} {Multisetting {G}reenberger-{H}orne-{Z}eilinger
theorem},\ }\href {https://doi.org/10.1103/PhysRevA.89.024103} {\bibfield
{journal} {\bibinfo  {journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume}
{89}},\ \bibinfo {pages} {024103} (\bibinfo {year} {2014})}\BibitemShut
\bibitem [{\citenamefont {Lawrence}(2019)}]{lawrence2019many}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {J.}~\bibnamefont
{Lawrence}},\ }\bibfield  {title} {\bibinfo {title} {Many-qutrit mermin
inequalities with three measurement settings},\ }\href
{https://arxiv.org/abs/1910.05869} {\bibfield  {journal} {\bibinfo  {journal}
{arXiv:1910.05869}\ } (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Erhard}\ \emph {et~al.}(2020)\citenamefont {Erhard},
\citenamefont {Krenn},\ and\ \citenamefont {Zeilinger}}]{erhard2020review}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont
{Erhard}}, \bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Krenn}},\ and\
\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont {Zeilinger}},\ }\bibfield
{title} {\bibinfo {title} {Advances in high-dimensional quantum
entanglement},\ }\href {https://doi.org/10.1038/s42254-020-0193-5} {\bibfield
{journal} {\bibinfo  {journal} {Nature Reviews Physics}\ }\textbf {\bibinfo
{volume} {2}},\ \bibinfo {pages} {365} (\bibinfo {year} {2020})}\BibitemShut
\bibitem [{\citenamefont {Wang}\ \emph
{et~al.}(2018{\natexlab{b}})\citenamefont {Wang}, \citenamefont {Luo},
\citenamefont {Huang}, \citenamefont {Chen}, \citenamefont {Su},
\citenamefont {Liu}, \citenamefont {Chen}, \citenamefont {Li}, \citenamefont
{Fang}, \citenamefont {Jiang}, \citenamefont {Zhang}, \citenamefont {Li},
\citenamefont {Liu}, \citenamefont {Lu},\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {X.-L.}\ \bibnamefont
{Wang}}, \bibinfo {author} {\bibfnamefont {Y.-H.}\ \bibnamefont {Luo}},
\bibinfo {author} {\bibfnamefont {H.-L.}\ \bibnamefont {Huang}}, \bibinfo
{author} {\bibfnamefont {M.-C.}\ \bibnamefont {Chen}}, \bibinfo {author}
{\bibfnamefont {Z.-E.}\ \bibnamefont {Su}}, \bibinfo {author} {\bibfnamefont
{C.}~\bibnamefont {Liu}}, \bibinfo {author} {\bibfnamefont {C.}~\bibnamefont
{Chen}}, \bibinfo {author} {\bibfnamefont {W.}~\bibnamefont {Li}}, \bibinfo
{author} {\bibfnamefont {Y.-Q.}\ \bibnamefont {Fang}}, \bibinfo {author}
{\bibfnamefont {X.}~\bibnamefont {Jiang}}, \bibinfo {author} {\bibfnamefont
{J.}~\bibnamefont {Zhang}}, \bibinfo {author} {\bibfnamefont
{L.}~\bibnamefont {Li}}, \bibinfo {author} {\bibfnamefont {N.-L.}\
\bibnamefont {Liu}}, \bibinfo {author} {\bibfnamefont {C.-Y.}\ \bibnamefont
{Lu}},\ and\ \bibinfo {author} {\bibfnamefont {J.-W.}\ \bibnamefont {Pan}},\
}\bibfield  {title} {\bibinfo {title} {18-qubit entanglement with six
photons' three degrees of freedom},\ }\href
{https://doi.org/10.1103/PhysRevLett.120.260502} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {120}},\
\bibinfo {pages} {260502} (\bibinfo {year} {2018}{\natexlab{b}})}\BibitemShut
\bibitem [{\citenamefont {Cervera-Lierta}\ \emph {et~al.}(2022)\citenamefont
{Cervera-Lierta}, \citenamefont {Krenn}, \citenamefont {Aspuru-Guzik},\ and\
\citenamefont {Galda}}]{cervera2022experimental}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
{Cervera-Lierta}}, \bibinfo {author} {\bibfnamefont {M.}~\bibnamefont
{Krenn}}, \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
{Aspuru-Guzik}},\ and\ \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
{Galda}},\ }\bibfield  {title} {\bibinfo {title} {Experimental
high-dimensional greenberger-horne-zeilinger entanglement with
superconducting transmon qutrits},\ }\href
{https://doi.org/10.1103/PhysRevApplied.17.024062} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Applied}\ }\textbf {\bibinfo {volume}
{17}},\ \bibinfo {pages} {024062} (\bibinfo {year} {2022})}\BibitemShut
\bibitem [{\citenamefont {Sych}\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {D.}~\bibnamefont
{Sych}}\ and\ \bibinfo {author} {\bibfnamefont {G.}~\bibnamefont {Leuchs}},\
}\bibfield  {title} {\bibinfo {title} {A complete basis of generalized {B}ell
states},\ }\href {https://doi.org/10.1088/1367-2630/11/1/013006} {\bibfield
{journal} {\bibinfo  {journal} {New Journal of Physics}\ }\textbf {\bibinfo
{volume} {11}},\ \bibinfo {pages} {013006} (\bibinfo {year}
{2009})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Jaeger}(2004)}]{bellgems}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {G.}~\bibnamefont
{Jaeger}},\ }\bibfield  {title} {\bibinfo {title} {Bell gems: the {B}ell
basis generalized},\ }\href {https://doi.org/10.1016/j.physleta.2004.07.037}
{\bibfield  {journal} {\bibinfo  {journal} {Physics Letters A}\ }\textbf
{\bibinfo {volume} {329}},\ \bibinfo {pages} {425} (\bibinfo {year}
{2004})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Verstraete}\ \emph {et~al.}(2002)\citenamefont
{Verstraete}, \citenamefont {Dehaene}, \citenamefont {De~Moor},\ and\
\citenamefont {Verschelde}}]{4qubits9entanglements}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {F.}~\bibnamefont
{Verstraete}}, \bibinfo {author} {\bibfnamefont {J.}~\bibnamefont {Dehaene}},
\bibinfo {author} {\bibfnamefont {B.}~\bibnamefont {De~Moor}},\ and\ \bibinfo
{author} {\bibfnamefont {H.}~\bibnamefont {Verschelde}},\ }\bibfield  {title}
{\bibinfo {title} {Four qubits can be entangled in nine different ways},\
}\href {https://doi.org/10.1103/PhysRevA.65.052112} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume} {65}},\
\bibinfo {pages} {052112} (\bibinfo {year} {2002})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Shor}(1995)}]{shor1995scheme}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {P.~W.}\ \bibnamefont
{Shor}},\ }\bibfield  {title} {\bibinfo {title} {Scheme for reducing
decoherence in quantum computer memory},\ }\href
{https://doi.org/10.1103/PhysRevA.52.R2493} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume} {52}},\ \bibinfo
{pages} {R2493} (\bibinfo {year} {1995})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Steane}(1996)}]{steane1996multiple}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
{Steane}},\ }\bibfield  {title} {\bibinfo {title} {Multiple-particle
interference and quantum error correction},\ }\href
{https://doi.org/10.1098/rspa.1996.0136} {\bibfield  {journal} {\bibinfo
{journal} {Proceedings of the Royal Society of London. Series A:
Mathematical, Physical and Engineering Sciences}\ }\textbf {\bibinfo {volume}
{452}},\ \bibinfo {pages} {2551} (\bibinfo {year} {1996})}\BibitemShut
\bibitem [{\citenamefont {Laflamme}\ \emph {et~al.}(1996)\citenamefont
{Laflamme}, \citenamefont {Miquel}, \citenamefont {Paz},\ and\ \citenamefont
\BibitemOpen
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{author} {\bibfnamefont {W.~H.}\ \bibnamefont {Zurek}},\ }\bibfield  {title}
{\bibinfo {title} {Perfect quantum error correcting code},\ }\href
{https://doi.org/10.1103/PhysRevLett.77.198} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {77}},\ \bibinfo
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\bibitem [{\citenamefont {DiVincenzo}\ and\ \citenamefont
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correction with efficient quantum codes},\ }\href
{https://doi.org/10.1103/PhysRevLett.77.3260} {\bibfield  {journal} {\bibinfo
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\bibitem [{\citenamefont {Bourennane}\ \emph {et~al.}(2006)\citenamefont
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{\bibfnamefont {C.}~\bibnamefont {Kurtsiefer}},\ and\ \bibinfo {author}
{\bibfnamefont {H.}~\bibnamefont {Weinfurter}},\ }\bibfield  {title}
{\bibinfo {title} {Entanglement persistency of multiphoton entangled
states},\ }\href {https://doi.org/10.1103/PhysRevLett.96.100502} {\bibfield
{journal} {\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo
{volume} {96}},\ \bibinfo {pages} {100502} (\bibinfo {year}
{2006})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Murao}\ \emph {et~al.}(1999)\citenamefont {Murao},
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\bibinfo {author} {\bibfnamefont {V.}~\bibnamefont {Vedral}},\ }\bibfield
{title} {\bibinfo {title} {Quantum telecloning and multiparticle
entanglement},\ }\href {https://doi.org/10.1103/PhysRevA.59.156} {\bibfield
{journal} {\bibinfo  {journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume}
{59}},\ \bibinfo {pages} {156} (\bibinfo {year} {1999})}\BibitemShut
\bibitem [{\citenamefont {Prevedel}\ \emph {et~al.}(2009)\citenamefont
{Prevedel}, \citenamefont {Cronenberg}, \citenamefont {Tame}, \citenamefont
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\bibinfo {author} {\bibfnamefont {P.}~\bibnamefont {Walther}}, \bibinfo
{author} {\bibfnamefont {M.~S.}\ \bibnamefont {Kim}},\ and\ \bibinfo {author}
{\bibfnamefont {A.}~\bibnamefont {Zeilinger}},\ }\bibfield  {title} {\bibinfo
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multiparty quantum networking},\ }\href
{https://doi.org/10.1103/PhysRevLett.103.020503} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {103}},\
\bibinfo {pages} {020503} (\bibinfo {year} {2009})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Pezz\`e}\ \emph {et~al.}(2018)\citenamefont
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{author} {\bibfnamefont {P.}~\bibnamefont {Treutlein}},\ }\bibfield  {title}
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ensembles},\ }\href {https://doi.org/10.1103/RevModPhys.90.035005} {\bibfield
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\bibitem [{\citenamefont {Wei}\ and\ \citenamefont
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entanglement and applications to bipartite and multipartite quantum states},\
}\href {https://doi.org/10.1103/PhysRevA.68.042307} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume} {68}},\
\bibinfo {pages} {042307} (\bibinfo {year} {2003})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Bennett}\ \emph {et~al.}(1993)\citenamefont
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\BibitemOpen
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{\bibfnamefont {A.}~\bibnamefont {Peres}},\ and\ \bibinfo {author}
{\bibfnamefont {W.~K.}\ \bibnamefont {Wootters}},\ }\bibfield  {title}
{\bibinfo {title} {Teleporting an unknown quantum state via dual classical
and einstein-podolsky-rosen channels},\ }\href
{https://doi.org/10.1103/PhysRevLett.70.1895} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {70}},\ \bibinfo
{pages} {1895} (\bibinfo {year} {1993})}\BibitemShut {NoStop}%
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\BibitemOpen
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genuine multipartite entanglement},\ }\href
{https://doi.org/10.1103/PhysRevLett.96.060502} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {96}},\
\bibinfo {pages} {060502} (\bibinfo {year} {2006})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {\ifmmode~\acute{S}\else \'{S}\fi{}liwa}\ and\
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}\href {https://doi.org/10.1103/PhysRevA.67.030101} {\bibfield  {journal}
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\bibinfo {pages} {030101} (\bibinfo {year} {2003})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Gubarev}\ \emph {et~al.}(2020)\citenamefont
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{https://doi.org/10.1103/PhysRevA.102.012604} {\bibfield  {journal} {\bibinfo
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multidimensional entanglement in multipartite systems},\ }\href
{https://doi.org/10.1103/PhysRevLett.110.030501} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {110}},\
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\bibitem [{\citenamefont {Huber}\ \emph {et~al.}(2013)\citenamefont {Huber},
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\bibnamefont {de~Vicente}},\ }\bibfield  {title} {\bibinfo {title} {Entropy
vector formalism and the structure of multidimensional entanglement in
multipartite systems},\ }\href {https://doi.org/10.1103/PhysRevA.88.042328}
{\bibfield  {journal} {\bibinfo  {journal} {Phys. Rev. A}\ }\textbf {\bibinfo
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{author} {\bibfnamefont {A.}~\bibnamefont {Winter}},\ }\bibfield  {title}
{\bibinfo {title} {Inequalities for the ranks of multipartite quantum
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}\textbf {\bibinfo {volume} {452}},\ \bibinfo {pages} {153} (\bibinfo {year}
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\bibitem [{\citenamefont {Pivoluska}\ \emph {et~al.}(2018)\citenamefont
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{title} {\bibinfo {title} {Layered quantum key distribution},\ }\href
{https://doi.org/10.1103/PhysRevA.97.032312} {\bibfield  {journal} {\bibinfo
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{pages} {032312} (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Gu}\ \emph {et~al.}(2020)\citenamefont {Gu},
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{title} {\bibinfo {title} {Quantum experiments and hypergraphs: Multiphoton
sources for quantum interference, quantum computation, and quantum
entanglement},\ }\href {https://doi.org/10.1103/PhysRevA.101.033816}
{\bibfield  {journal} {\bibinfo  {journal} {Phys. Rev. A}\ }\textbf {\bibinfo
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\citenamefont {Xing}, \citenamefont {Zhang}, \citenamefont {Liu},
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{\bibfnamefont {M.}~\bibnamefont {Pivoluska}}, \bibinfo {author}
{\bibfnamefont {M.}~\bibnamefont {Huber}}, \bibinfo {author} {\bibfnamefont
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\bibnamefont {Li}},\ and\ \bibinfo {author} {\bibfnamefont {G.-C.}\
\bibnamefont {Guo}},\ }\bibfield  {title} {\bibinfo {title} {Experimental
creation of multi-photon high-dimensional layered quantum states},\ }\href
{https://doi.org/10.1038/s41534-020-00318-6} {\bibfield  {journal} {\bibinfo
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\BibitemOpen
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{https://doi.org/10.1103/PhysRevA.67.012108} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume} {67}},\ \bibinfo
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\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
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{\bibfield  {journal} {\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf
{\bibinfo {volume} {77}},\ \bibinfo {pages} {1413} (\bibinfo {year}
{1996})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Horodecki}(2001)}]{horodecki2001}%
\BibitemOpen
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{\bibfield  {journal} {\bibinfo  {journal} {Quantum Information \&
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(\bibinfo {year} {2001})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Brown}\ \emph {et~al.}(2005)\citenamefont {Brown},
\citenamefont {Stepney}, \citenamefont {Sudbery},\ and\ \citenamefont
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{author} {\bibfnamefont {S.~L.}\ \bibnamefont {Braunstein}},\ }\bibfield
{title} {\bibinfo {title} {Searching for highly entangled multi-qubit
states},\ }\href {https://doi.org/10.1088/0305-4470/38/5/013} {\bibfield
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(\bibinfo {year} {2005})}\BibitemShut {NoStop}%
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{http://l.academicdirect.org/Horticulture/GAs/Refs/Renyi_1961.pdf} {\emph
{\bibinfo {booktitle} {Proceedings of the fourth Berkeley symposium on
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{1961})\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Van~Dam}\ and\ \citenamefont
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{Van~Dam}}\ and\ \bibinfo {author} {\bibfnamefont {P.}~\bibnamefont
{Hayden}},\ }\bibfield  {title} {\bibinfo {title} {Renyi-entropic bounds on
quantum communication},\ }\href {https://arxiv.org/abs/quant-ph/0204093}
{\bibfield  {journal} {\bibinfo  {journal} {arXiv:quant-ph/0204093}\ }
(\bibinfo {year} {2002})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Gour}\ and\ \citenamefont
\BibitemOpen
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{Gour}}\ and\ \bibinfo {author} {\bibfnamefont {N.~R.}\ \bibnamefont
{Wallach}},\ }\bibfield  {title} {\bibinfo {title} {All maximally entangled
four-qubit states},\ }\href {https://doi.org/10.1063/1.3511477} {\bibfield
{journal} {\bibinfo  {journal} {Journal of Mathematical Physics}\ }\textbf
{\bibinfo {volume} {51}},\ \bibinfo {pages} {112201} (\bibinfo {year}
{2010})}\BibitemShut {NoStop}%
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\BibitemOpen
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{https://doi.org/10.26421/QIC3.6-5} {\bibfield  {journal} {\bibinfo
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\bibitem [{\citenamefont {Meyer}\ and\ \citenamefont
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{Wallach}},\ }\bibfield  {title} {\bibinfo {title} {Global entanglement in
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{\bibfield  {journal} {\bibinfo  {journal} {Journal of Mathematical Physics}\
}\textbf {\bibinfo {volume} {43}},\ \bibinfo {pages} {4273} (\bibinfo {year}
{2002})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Enr{\'\i}quez}\ \emph {et~al.}(2015)\citenamefont
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{{\.Z}yczkowski}},\ }\bibfield  {title} {\bibinfo {title} {Minimal
r{\'e}nyi--ingarden--urbanik entropy of multipartite quantum states},\ }\href
{https://doi.org/10.3390/e17075063} {\bibfield  {journal} {\bibinfo
{journal} {Entropy}\ }\textbf {\bibinfo {volume} {17}},\ \bibinfo {pages}
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\bibitem [{\citenamefont {Helwig}(2013)}]{AME_definitions_and_application}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {W.}~\bibnamefont
{Helwig}},\ }\bibfield  {title} {\bibinfo {title} {Absolutely maximally
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{\bibfield  {journal} {\bibinfo  {journal} {arXiv:1306.2879}\ } (\bibinfo
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\bibitem [{\citenamefont {Goyeneche}\ and\ \citenamefont
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{{\.Z}yczkowski}},\ }\bibfield  {title} {\bibinfo {title} {Genuinely
multipartite entangled states and orthogonal arrays},\ }\href
{https://doi.org/10.1103/PhysRevA.90.022316} {\bibfield  {journal} {\bibinfo
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{pages} {022316} (\bibinfo {year} {2014})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Shi}\ \emph {et~al.}(2020)\citenamefont {Shi},
\citenamefont {Shen}, \citenamefont {Chen},\ and\ \citenamefont
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{author} {\bibfnamefont {L.}~\bibnamefont {Chen}},\ and\ \bibinfo {author}
{\bibfnamefont {X.}~\bibnamefont {Zhang}},\ }\bibfield  {title} {\bibinfo
{title} {Constructions of $\ensuremath{k}$-uniform states from mixed
orthogonal arrays},\ }\href {https://arxiv.org/abs/2006.04086} {\bibfield
{journal} {\bibinfo  {journal} {arXiv:2006.04086}\ } (\bibinfo {year}
{2020})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Higuchi}\ and\ \citenamefont
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{Higuchi}}\ and\ \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
{Sudbery}},\ }\bibfield  {title} {\bibinfo {title} {How entangled can two
couples get?},\ }\href {https://doi.org/10.1016/s0375-9601(00)00480-1}
{\bibfield  {journal} {\bibinfo  {journal} {Physics Letters A}\ }\textbf
{\bibinfo {volume} {273}},\ \bibinfo {pages} {213} (\bibinfo {year}
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\bibitem [{\citenamefont {Hardy}(1993)}]{hardy1993nonlocality}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {L.}~\bibnamefont
{Hardy}},\ }\bibfield  {title} {\bibinfo {title} {Nonlocality for two
particles without inequalities for almost all entangled states},\ }\href
{https://doi.org/10.1103/PhysRevLett.71.1665} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {71}},\ \bibinfo
{pages} {1665} (\bibinfo {year} {1993})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Chen}\ \emph
{et~al.}(2017{\natexlab{b}})\citenamefont {Chen}, \citenamefont {Zhang},
\citenamefont {Wu}, \citenamefont {Wang}, \citenamefont {Fickler},\ and\
\citenamefont {Karimi}}]{chen2017experimental}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {L.}~\bibnamefont
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\bibinfo {author} {\bibfnamefont {Z.}~\bibnamefont {Wu}}, \bibinfo {author}
{\bibfnamefont {J.}~\bibnamefont {Wang}}, \bibinfo {author} {\bibfnamefont
{R.}~\bibnamefont {Fickler}},\ and\ \bibinfo {author} {\bibfnamefont
{E.}~\bibnamefont {Karimi}},\ }\bibfield  {title} {\bibinfo {title}
{Experimental ladder proof of hardy's nonlocality for high-dimensional
quantum systems},\ }\href {https://doi.org/10.1103/PhysRevA.96.022115}
{\bibfield  {journal} {\bibinfo  {journal} {Phys. Rev. A}\ }\textbf {\bibinfo
{volume} {96}},\ \bibinfo {pages} {022115} (\bibinfo {year}
{2017}{\natexlab{b}})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Bharti}\ \emph {et~al.}(2020)\citenamefont {Bharti},
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\BibitemOpen
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{Bharti}}, \bibinfo {author} {\bibfnamefont {T.}~\bibnamefont {Haug}},
\bibinfo {author} {\bibfnamefont {V.}~\bibnamefont {Vedral}},\ and\ \bibinfo
{author} {\bibfnamefont {L.-C.}\ \bibnamefont {Kwek}},\ }\bibfield  {title}
{\bibinfo {title} {Machine learning meets quantum foundations: A brief
survey},\ }\href {https://doi.org/10.1116/5.0007529} {\bibfield  {journal}
{\bibinfo  {journal} {AVS Quantum Science}\ }\textbf {\bibinfo {volume}
{2}},\ \bibinfo {pages} {034101} (\bibinfo {year} {2020})}\BibitemShut
\bibitem [{\citenamefont {Bowles}\ \emph {et~al.}(2021)\citenamefont {Bowles},
\citenamefont {Hirsch},\ and\ \citenamefont
\BibitemOpen
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{Bowles}}, \bibinfo {author} {\bibfnamefont {F.}~\bibnamefont {Hirsch}},\
and\ \bibinfo {author} {\bibfnamefont {D.}~\bibnamefont {Cavalcanti}},\
}\bibfield  {title} {\bibinfo {title} {Single-copy activation of {B}ell
nonlocality via broadcasting of quantum states},\ }\href
{https://doi.org/10.22331/q-2021-07-13-499} {\bibfield  {journal} {\bibinfo
{journal} {Quantum}\ }\textbf {\bibinfo {volume} {5}},\ \bibinfo {pages}
{499} (\bibinfo {year} {2021})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Giovannetti}\ \emph {et~al.}(2004)\citenamefont
{Giovannetti}, \citenamefont {Lloyd},\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {V.}~\bibnamefont
{Giovannetti}}, \bibinfo {author} {\bibfnamefont {S.}~\bibnamefont {Lloyd}},\
and\ \bibinfo {author} {\bibfnamefont {L.}~\bibnamefont {Maccone}},\
}\bibfield  {title} {\bibinfo {title} {Quantum-enhanced measurements: beating
the standard quantum limit},\ }\href
{https://doi.org/10.1126/science.1104149} {\bibfield  {journal} {\bibinfo
{journal} {Science}\ }\textbf {\bibinfo {volume} {306}},\ \bibinfo {pages}
{1330} (\bibinfo {year} {2004})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Wildfeuer}\ \emph {et~al.}(2007)\citenamefont
{Wildfeuer}, \citenamefont {Lund},\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {C.~F.}\ \bibnamefont
{Wildfeuer}}, \bibinfo {author} {\bibfnamefont {A.~P.}\ \bibnamefont
{Lund}},\ and\ \bibinfo {author} {\bibfnamefont {J.~P.}\ \bibnamefont
{Dowling}},\ }\bibfield  {title} {\bibinfo {title} {Strong violations of
{B}ell-type inequalities for path-entangled number states},\ }\href
{https://doi.org/10.1103/PhysRevA.76.052101} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume} {76}},\ \bibinfo
{pages} {052101} (\bibinfo {year} {2007})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Israel}\ \emph {et~al.}(2014)\citenamefont {Israel},
\citenamefont {Rosen},\ and\ \citenamefont {Silberberg}}]{SupersensitivePRL}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {Y.}~\bibnamefont
{Israel}}, \bibinfo {author} {\bibfnamefont {S.}~\bibnamefont {Rosen}},\ and\
\bibinfo {author} {\bibfnamefont {Y.}~\bibnamefont {Silberberg}},\ }\bibfield
{title} {\bibinfo {title} {Supersensitive polarization microscopy using noon
states of light},\ }\href {https://doi.org/10.1103/PhysRevLett.112.103604}
{\bibfield  {journal} {\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf
{\bibinfo {volume} {112}},\ \bibinfo {pages} {103604} (\bibinfo {year}
{2014})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Ono}\ \emph {et~al.}(2013)\citenamefont {Ono},
\citenamefont {Okamoto},\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {T.}~\bibnamefont
{Ono}}, \bibinfo {author} {\bibfnamefont {R.}~\bibnamefont {Okamoto}},\ and\
\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont {Takeuchi}},\ }\bibfield
{title} {\bibinfo {title} {An entanglement-enhanced microscope},\ }\href
{https://doi.org/10.1038/ncomms3426} {\bibfield  {journal} {\bibinfo
{journal} {Nature Communications}\ }\textbf {\bibinfo {volume} {4}},\
\bibinfo {pages} {1} (\bibinfo {year} {2013})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Gao}\ \emph {et~al.}(2022)\citenamefont {Gao},
\citenamefont {Zhang}, \citenamefont {D’Errico}, \citenamefont {Heshami},\
and\ \citenamefont {Karimi}}]{gao2022high}%
\BibitemOpen
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{author} {\bibfnamefont {A.}~\bibnamefont {D’Errico}}, \bibinfo {author}
{\bibfnamefont {K.}~\bibnamefont {Heshami}},\ and\ \bibinfo {author}
{\bibfnamefont {E.}~\bibnamefont {Karimi}},\ }\bibfield  {title} {\bibinfo
{title} {High-speed imaging of spatiotemporal correlations in hong-ou-mandel
interference},\ }\href {https://doi.org/10.1364/OE.456433} {\bibfield
{journal} {\bibinfo  {journal} {Optics Express}\ }\textbf {\bibinfo {volume}
{30}},\ \bibinfo {pages} {19456} (\bibinfo {year} {2022})}\BibitemShut
\bibitem [{\citenamefont {Ndagano}\ \emph {et~al.}(2022)\citenamefont
{Ndagano}, \citenamefont {Defienne}, \citenamefont {Branford}, \citenamefont
{Shah}, \citenamefont {Lyons}, \citenamefont {Westerberg}, \citenamefont
{Gauger},\ and\ \citenamefont {Faccio}}]{ndagano2022quantum}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {B.}~\bibnamefont
{Ndagano}}, \bibinfo {author} {\bibfnamefont {H.}~\bibnamefont {Defienne}},
\bibinfo {author} {\bibfnamefont {D.}~\bibnamefont {Branford}}, \bibinfo
{author} {\bibfnamefont {Y.~D.}\ \bibnamefont {Shah}}, \bibinfo {author}
{\bibfnamefont {A.}~\bibnamefont {Lyons}}, \bibinfo {author} {\bibfnamefont
{N.}~\bibnamefont {Westerberg}}, \bibinfo {author} {\bibfnamefont {E.~M.}\
\bibnamefont {Gauger}},\ and\ \bibinfo {author} {\bibfnamefont
{D.}~\bibnamefont {Faccio}},\ }\bibfield  {title} {\bibinfo {title} {Quantum
microscopy based on hong--ou--mandel interference},\ }\href
{https://doi.org/10.1038/s41566-022-00980-6} {\bibfield  {journal} {\bibinfo
{journal} {Nature Photonics}\ }\textbf {\bibinfo {volume} {16}},\ \bibinfo
{pages} {384} (\bibinfo {year} {2022})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Mitchell}\ \emph {et~al.}(2004)\citenamefont
{Mitchell}, \citenamefont {Lundeen},\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {M.~W.}\ \bibnamefont
{Mitchell}}, \bibinfo {author} {\bibfnamefont {J.~S.}\ \bibnamefont
{Lundeen}},\ and\ \bibinfo {author} {\bibfnamefont {A.~M.}\ \bibnamefont
{Steinberg}},\ }\bibfield  {title} {\bibinfo {title} {Super-resolving phase
measurements with a multiphoton entangled state},\ }\href
{https://doi.org/10.1038/nature02493} {\bibfield  {journal} {\bibinfo
{journal} {Nature}\ }\textbf {\bibinfo {volume} {429}},\ \bibinfo {pages}
{161} (\bibinfo {year} {2004})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Walther}\ \emph {et~al.}(2004)\citenamefont
{Walther}, \citenamefont {Pan}, \citenamefont {Aspelmeyer}, \citenamefont
{Ursin}, \citenamefont {Gasparoni},\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {P.}~\bibnamefont
{Walther}}, \bibinfo {author} {\bibfnamefont {J.-W.}\ \bibnamefont {Pan}},
\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Aspelmeyer}}, \bibinfo
{author} {\bibfnamefont {R.}~\bibnamefont {Ursin}}, \bibinfo {author}
{\bibfnamefont {S.}~\bibnamefont {Gasparoni}},\ and\ \bibinfo {author}
{\bibfnamefont {A.}~\bibnamefont {Zeilinger}},\ }\bibfield  {title} {\bibinfo
{title} {De broglie wavelength of a non-local four-photon state},\ }\href
{https://doi.org/10.1038/nature02552} {\bibfield  {journal} {\bibinfo
{journal} {Nature}\ }\textbf {\bibinfo {volume} {429}},\ \bibinfo {pages}
{158} (\bibinfo {year} {2004})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Sun}\ \emph {et~al.}(2006)\citenamefont {Sun},
\citenamefont {Liu}, \citenamefont {Huang}, \citenamefont {Ou},\ and\
\citenamefont {Guo}}]{fourNOON2006}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {F.~W.}\ \bibnamefont
{Sun}}, \bibinfo {author} {\bibfnamefont {B.~H.}\ \bibnamefont {Liu}},
\bibinfo {author} {\bibfnamefont {Y.~F.}\ \bibnamefont {Huang}}, \bibinfo
{author} {\bibfnamefont {Z.~Y.}\ \bibnamefont {Ou}},\ and\ \bibinfo {author}
{\bibfnamefont {G.~C.}\ \bibnamefont {Guo}},\ }\bibfield  {title} {\bibinfo
{title} {Observation of the four-photon de broglie wavelength by
state-projection measurement},\ }\href
{https://doi.org/10.1103/PhysRevA.74.033812} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume} {74}},\ \bibinfo
{pages} {033812} (\bibinfo {year} {2006})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Resch}\ \emph {et~al.}(2007)\citenamefont {Resch},
\citenamefont {Pregnell}, \citenamefont {Prevedel}, \citenamefont
{Gilchrist}, \citenamefont {Pryde}, \citenamefont {O'Brien},\ and\
\citenamefont {White}}]{sixNOON2007}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {K.~J.}\ \bibnamefont
{Resch}}, \bibinfo {author} {\bibfnamefont {K.~L.}\ \bibnamefont {Pregnell}},
\bibinfo {author} {\bibfnamefont {R.}~\bibnamefont {Prevedel}}, \bibinfo
{author} {\bibfnamefont {A.}~\bibnamefont {Gilchrist}}, \bibinfo {author}
{\bibfnamefont {G.~J.}\ \bibnamefont {Pryde}}, \bibinfo {author}
{\bibfnamefont {J.~L.}\ \bibnamefont {O'Brien}},\ and\ \bibinfo {author}
{\bibfnamefont {A.~G.}\ \bibnamefont {White}},\ }\bibfield  {title} {\bibinfo
{title} {Time-reversal and super-resolving phase measurements},\ }\href
{https://doi.org/10.1103/PhysRevLett.98.223601} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {98}},\
\bibinfo {pages} {223601} (\bibinfo {year} {2007})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Boto}\ \emph {et~al.}(2000)\citenamefont {Boto},
\citenamefont {Kok}, \citenamefont {Abrams}, \citenamefont {Braunstein},
\citenamefont {Williams},\ and\ \citenamefont {Dowling}}]{dowling2000}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {A.~N.}\ \bibnamefont
{Boto}}, \bibinfo {author} {\bibfnamefont {P.}~\bibnamefont {Kok}}, \bibinfo
{author} {\bibfnamefont {D.~S.}\ \bibnamefont {Abrams}}, \bibinfo {author}
{\bibfnamefont {S.~L.}\ \bibnamefont {Braunstein}}, \bibinfo {author}
{\bibfnamefont {C.~P.}\ \bibnamefont {Williams}},\ and\ \bibinfo {author}
{\bibfnamefont {J.~P.}\ \bibnamefont {Dowling}},\ }\bibfield  {title}
{\bibinfo {title} {Quantum interferometric optical lithography: Exploiting
entanglement to beat the diffraction limit},\ }\href
{https://doi.org/10.1103/PhysRevLett.85.2733} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {85}},\ \bibinfo
{pages} {2733} (\bibinfo {year} {2000})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Afek}\ \emph {et~al.}(2010)\citenamefont {Afek},
\citenamefont {Ambar},\ and\ \citenamefont {Silberberg}}]{afek2010high}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {I.}~\bibnamefont
{Afek}}, \bibinfo {author} {\bibfnamefont {O.}~\bibnamefont {Ambar}},\ and\
\bibinfo {author} {\bibfnamefont {Y.}~\bibnamefont {Silberberg}},\ }\bibfield
{title} {\bibinfo {title} {High-noon states by mixing quantum and classical
light},\ }\href {https://doi.org/10.1126/science.1188172]} {\bibfield
{journal} {\bibinfo  {journal} {Science}\ }\textbf {\bibinfo {volume}
{328}},\ \bibinfo {pages} {879} (\bibinfo {year} {2010})}\BibitemShut
\bibitem [{\citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {E.}~\bibnamefont
{Schr{\"o}dinger}},\ }\bibfield  {title} {\bibinfo {title} {Die
gegenw{\"a}rtige situation in der quantenmechanik},\ }\href
{\bibfield  {journal} {\bibinfo  {journal} {Naturwissenschaften}\ }\textbf
{\bibinfo {volume} {23}},\ \bibinfo {pages} {844} (\bibinfo {year}
{1935})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Kapale}\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {K.~T.}\ \bibnamefont
{Kapale}}\ and\ \bibinfo {author} {\bibfnamefont {J.~P.}\ \bibnamefont
{Dowling}},\ }\bibfield  {title} {\bibinfo {title} {Bootstrapping approach
for generating maximally path-entangled photon states},\ }\href
{https://doi.org/10.1103/PhysRevLett.99.053602} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {99}},\
\bibinfo {pages} {053602} (\bibinfo {year} {2007})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Cable}\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {H.}~\bibnamefont
{Cable}}\ and\ \bibinfo {author} {\bibfnamefont {J.~P.}\ \bibnamefont
{Dowling}},\ }\bibfield  {title} {\bibinfo {title} {Efficient generation of
large number-path entanglement using only linear optics and feed-forward},\
}\href {https://doi.org/10.1103/PhysRevLett.99.163604} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {99}},\
\bibinfo {pages} {163604} (\bibinfo {year} {2007})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Pezz\'e}\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {L.}~\bibnamefont
{Pezz\'e}}\ and\ \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
{Smerzi}},\ }\bibfield  {title} {\bibinfo {title} {Mach-zehnder
interferometry at the heisenberg limit with coherent and squeezed-vacuum
light},\ }\href {https://doi.org/10.1103/PhysRevLett.100.073601} {\bibfield
{journal} {\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo
{volume} {100}},\ \bibinfo {pages} {073601} (\bibinfo {year}
{2008})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Hofmann}\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {H.~F.}\ \bibnamefont
{Hofmann}}\ and\ \bibinfo {author} {\bibfnamefont {T.}~\bibnamefont {Ono}},\
}\bibfield  {title} {\bibinfo {title} {High-photon-number path entanglement
in the interference of spontaneously down-converted photon pairs with
coherent laser light},\ }\href {https://doi.org/10.1103/PhysRevA.76.031806}
{\bibfield  {journal} {\bibinfo  {journal} {Phys. Rev. A}\ }\textbf {\bibinfo
{volume} {76}},\ \bibinfo {pages} {031806} (\bibinfo {year}
{2007})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Israel}\ \emph {et~al.}(2012)\citenamefont {Israel},
\citenamefont {Afek}, \citenamefont {Rosen}, \citenamefont {Ambar},\ and\
\citenamefont {Silberberg}}]{Afek2012}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {Y.}~\bibnamefont
{Israel}}, \bibinfo {author} {\bibfnamefont {I.}~\bibnamefont {Afek}},
\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont {Rosen}}, \bibinfo
{author} {\bibfnamefont {O.}~\bibnamefont {Ambar}},\ and\ \bibinfo {author}
{\bibfnamefont {Y.}~\bibnamefont {Silberberg}},\ }\bibfield  {title}
{\bibinfo {title} {Experimental tomography of noon states with large photon
numbers},\ }\href {https://doi.org/10.1103/PhysRevA.85.022115} {\bibfield
{journal} {\bibinfo  {journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume}
{85}},\ \bibinfo {pages} {022115} (\bibinfo {year} {2012})}\BibitemShut
\bibitem [{\citenamefont {Humphreys}\ \emph {et~al.}(2013)\citenamefont
{Humphreys}, \citenamefont {Barbieri}, \citenamefont {Datta},\ and\
\citenamefont {Walmsley}}]{MultiplePhase2013}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {P.~C.}\ \bibnamefont
{Humphreys}}, \bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Barbieri}},
\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont {Datta}},\ and\ \bibinfo
{author} {\bibfnamefont {I.~A.}\ \bibnamefont {Walmsley}},\ }\bibfield
{title} {\bibinfo {title} {Quantum enhanced multiple phase estimation},\
}\href {https://doi.org/10.1103/PhysRevLett.111.070403} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {111}},\
\bibinfo {pages} {070403} (\bibinfo {year} {2013})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Knott}\ \emph {et~al.}(2016)\citenamefont {Knott},
\citenamefont {Proctor}, \citenamefont {Hayes}, \citenamefont {Ralph},
\citenamefont {Kok},\ and\ \citenamefont {Dunningham}}]{multiparameter2016}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {P.~A.}\ \bibnamefont
{Knott}}, \bibinfo {author} {\bibfnamefont {T.~J.}\ \bibnamefont {Proctor}},
\bibinfo {author} {\bibfnamefont {A.~J.}\ \bibnamefont {Hayes}}, \bibinfo
{author} {\bibfnamefont {J.~F.}\ \bibnamefont {Ralph}}, \bibinfo {author}
{\bibfnamefont {P.}~\bibnamefont {Kok}},\ and\ \bibinfo {author}
{\bibfnamefont {J.~A.}\ \bibnamefont {Dunningham}},\ }\bibfield  {title}
{\bibinfo {title} {Local versus global strategies in multiparameter
estimation},\ }\href {https://doi.org/10.1103/PhysRevA.94.062312} {\bibfield
{journal} {\bibinfo  {journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume}
{94}},\ \bibinfo {pages} {062312} (\bibinfo {year} {2016})}\BibitemShut
\bibitem [{\citenamefont {Kim}\ \emph {et~al.}(2009)\citenamefont {Kim},
\citenamefont {Park},\ and\ \citenamefont {Choi}}]{KimNOON2009}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {H.}~\bibnamefont
{Kim}}, \bibinfo {author} {\bibfnamefont {H.~S.}\ \bibnamefont {Park}},\ and\
\bibinfo {author} {\bibfnamefont {S.-K.}\ \bibnamefont {Choi}},\ }\href
{http://opg.optica.org/oe/abstract.cfm?URI=oe-17-22-19720} {\bibfield
{journal} {\bibinfo  {journal} {Optics Express}\ }\textbf {\bibinfo {volume}
{17}},\ \bibinfo {pages} {19720} (\bibinfo {year} {2009})}\BibitemShut
\bibitem [{\citenamefont {Kim}\ \emph {et~al.}(2017)\citenamefont {Kim},
\citenamefont {Bj\"ork},\ and\ \citenamefont {Kim}}]{threeNOON2017}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {Y.}~\bibnamefont
{Kim}}, \bibinfo {author} {\bibfnamefont {G.}~\bibnamefont {Bj\"ork}},\ and\
\bibinfo {author} {\bibfnamefont {Y.-H.}\ \bibnamefont {Kim}},\ }\bibfield
{title} {\bibinfo {title} {Experimental characterization of quantum
polarization of three-photon states},\ }\href
{https://doi.org/10.1103/PhysRevA.96.033840} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume} {96}},\ \bibinfo
{pages} {033840} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Kim}\ \emph {et~al.}(2011)\citenamefont {Kim},
\citenamefont {Kwon}, \citenamefont {Lee}, \citenamefont {Lee}, \citenamefont
{Kim}, \citenamefont {Choi}, \citenamefont {Park},\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {Y.-S.}\ \bibnamefont
{Kim}}, \bibinfo {author} {\bibfnamefont {O.}~\bibnamefont {Kwon}}, \bibinfo
{author} {\bibfnamefont {S.~M.}\ \bibnamefont {Lee}}, \bibinfo {author}
{\bibfnamefont {J.-C.}\ \bibnamefont {Lee}}, \bibinfo {author} {\bibfnamefont
{H.}~\bibnamefont {Kim}}, \bibinfo {author} {\bibfnamefont {S.-K.}\
\bibnamefont {Choi}}, \bibinfo {author} {\bibfnamefont {H.~S.}\ \bibnamefont
{Park}},\ and\ \bibinfo {author} {\bibfnamefont {Y.-H.}\ \bibnamefont
{Kim}},\ }\bibfield  {title} {\bibinfo {title} {Observation of young’s
double-slit interference with the three-photon n00n state},\ }\href
{https://doi.org/10.1364/OE.19.024957} {\bibfield  {journal} {\bibinfo
{journal} {Optics Express}\ }\textbf {\bibinfo {volume} {19}},\ \bibinfo
{pages} {24957} (\bibinfo {year} {2011})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Bj{\"o}rk}\ \emph {et~al.}(2015)\citenamefont
{Bj{\"o}rk}, \citenamefont {Grassl}, \citenamefont {de~la Hoz}, \citenamefont
{Leuchs},\ and\ \citenamefont {S{\'a}nchez-Soto}}]{bjork2015stars}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {G.}~\bibnamefont
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\bibinfo {author} {\bibfnamefont {P.}~\bibnamefont {de~la Hoz}}, \bibinfo
{author} {\bibfnamefont {G.}~\bibnamefont {Leuchs}},\ and\ \bibinfo {author}
{\bibfnamefont {L.~L.}\ \bibnamefont {S{\'a}nchez-Soto}},\ }\bibfield
{title} {\bibinfo {title} {Stars of the quantum universe: extremal
constellations on the poincar{\'e} sphere},\ }\href
{https://doi.org/10.1088/0031-8949/90/10/108008} {\bibfield  {journal}
{\bibinfo  {journal} {Physica Scripta}\ }\textbf {\bibinfo {volume} {90}},\
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{\bibfnamefont {L.~L.}\ \bibnamefont {S\'anchez-Soto}},\ }\bibfield  {title}
{\bibinfo {title} {Extremal quantum states and their majorana
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{et~al.}(2017{\natexlab{b}})\citenamefont {Bouchard}, \citenamefont {de~la
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{\bibfield  {journal} {\bibinfo  {journal} {Optica}\ }\textbf {\bibinfo
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{journal} {\bibinfo  {journal} {Il Nuovo Cimento (1924-1942)}\ }\textbf
{\bibinfo {volume} {9}},\ \bibinfo {pages} {43} (\bibinfo {year}
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\bibitem [{\citenamefont {Conway}\ \emph {et~al.}(1996)\citenamefont {Conway},
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}\bibfield  {title} {\bibinfo {title} {Packing lines, planes, etc.: Packings
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{https://doi.org/10.1080/10586458.1996.10504585} {\bibfield  {journal}
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{journal} {\bibinfo  {journal} {The mathematical intelligencer}\ }\textbf
{\bibinfo {volume} {19}},\ \bibinfo {pages} {5} (\bibinfo {year}
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\bibitem [{\citenamefont {Tavakoli}\ and\ \citenamefont
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{https://doi.org/10.22331/q-2020-07-09-293} {\bibfield  {journal} {\bibinfo
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{https://doi.org/10.22331/q-2022-07-07-756} {\bibfield  {journal} {\bibinfo
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\BibitemOpen
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\bibitem [{\citenamefont {Aspuru-Guzik}\ and\ \citenamefont
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{journal} {\bibinfo  {journal} {Nature physics}\ }\textbf {\bibinfo {volume}
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\bibitem [{\citenamefont {Cirac}\ \emph {et~al.}(2021)\citenamefont {Cirac},
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{Schuch}},\ and\ \bibinfo {author} {\bibfnamefont {F.}~\bibnamefont
{Verstraete}},\ }\bibfield  {title} {\bibinfo {title} {Matrix product states
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{https://doi.org/10.1103/RevModPhys.93.045003} {\bibfield  {journal}
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\bibitem [{\citenamefont {Miguel-Ramiro}\ and\ \citenamefont
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in quantum networks},\ }\href {https://doi.org/10.1088/1367-2630/ab784d}
{\bibfield  {journal} {\bibinfo  {journal} {New Journal of Physics}\ }\textbf
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\bibitem [{\citenamefont {Gross}\ and\ \citenamefont
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{https://doi.org/10.1103/PhysRevA.82.040303} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume} {82}},\ \bibinfo
{pages} {040303} (\bibinfo {year} {2010})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Bernien}\ \emph {et~al.}(2017)\citenamefont
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{Levine}, \citenamefont {Omran}, \citenamefont {Pichler}, \citenamefont
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{\bibfnamefont {A.}~\bibnamefont {Omran}}, \bibinfo {author} {\bibfnamefont
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{S.}~\bibnamefont {Choi}}, \bibinfo {author} {\bibfnamefont {A.~S.}\
\bibnamefont {Zibrov}}, \bibinfo {author} {\bibfnamefont {M.}~\bibnamefont
{Endres}}, \bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Greiner}},
\emph {et~al.},\ }\bibfield  {title} {\bibinfo {title} {Probing many-body
dynamics on a 51-atom quantum simulator},\ }\href
{https://doi.org/10.1038/nature24622} {\bibfield  {journal} {\bibinfo
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{579} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Perez-Garcia}\ \emph {et~al.}(2007)\citenamefont
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\citenamefont {Cirac}}]{Perez-Garcia2006}%
\BibitemOpen
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{Wolf}},\ and\ \bibinfo {author} {\bibfnamefont {J.~I.}\ \bibnamefont
{Cirac}},\ }\bibfield  {title} {\bibinfo {title} {Matrix product state
representations},\ }\href
{https://dl.acm.org/doi/abs/10.5555/2011832.2011833} {\bibfield  {journal}
{\bibinfo  {journal} {Quantum Info. Comput.}\ }\textbf {\bibinfo {volume}
{7}},\ \bibinfo {pages} {401–430} (\bibinfo {year} {2007})}\BibitemShut
\bibitem [{\citenamefont {Salberger}\ and\ \citenamefont
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\bibfield  {author} {\bibinfo {author} {\bibfnamefont {O.}~\bibnamefont
{Salberger}}\ and\ \bibinfo {author} {\bibfnamefont {V.}~\bibnamefont
{Korepin}},\ }\bibfield  {title} {\bibinfo {title} {Fredkin spin chain},\
}in\ \href {https://doi.org/10.1142/9789813233867_0022} {\emph {\bibinfo
{booktitle} {Ludwig Faddeev Memorial Volume: A Life In Mathematical
Physics}}}\ (\bibinfo  {publisher} {World Scientific},\ \bibinfo {year}
{2018})\ pp.\ \bibinfo {pages} {439--458}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Movassagh}(2017)}]{Movassagh2017}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {R.}~\bibnamefont
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{https://doi.org/10.1063/1.4977829} {\bibfield  {journal} {\bibinfo
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\bibitem [{\citenamefont {Caha}\ and\ \citenamefont {Nagaj}(2018)}]{Caha2018}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {L.}~\bibnamefont
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{https://arxiv.org/abs/1805.07168} {\bibfield  {journal} {\bibinfo  {journal}
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\bibitem [{\citenamefont {Adhikari}\ and\ \citenamefont
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\bibfield  {author} {\bibinfo {author} {\bibfnamefont {K.}~\bibnamefont
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chain away from its frustration-free point},\ }\href
{https://doi.org/10.1103/PhysRevB.99.054436} {\bibfield  {journal} {\bibinfo
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\bibitem [{\citenamefont {Williams}(2011)}]{Williams2011}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {C.~P.}\ \bibnamefont
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(\bibinfo  {publisher} {Springer},\ \bibinfo {year} {2011})\BibitemShut
\bibitem [{\citenamefont {Nisbet-Jones}\ \emph {et~al.}(2013)\citenamefont
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\BibitemOpen
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\bibinfo {author} {\bibfnamefont {O.}~\bibnamefont {Barter}},\ and\ \bibinfo
{author} {\bibfnamefont {A.}~\bibnamefont {Kuhn}},\ }\bibfield  {title}
{\bibinfo {title} {Photonic qubits, qutrits and ququads accurately prepared
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{https://doi.org/10.1088/1367-2630/15/5/053007} {\bibfield  {journal}
{\bibinfo  {journal} {New Journal of Physics}\ }\textbf {\bibinfo {volume}
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\bibitem [{\citenamefont {Senko}\ \emph {et~al.}(2015)\citenamefont {Senko},
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\citenamefont {Cohen}, \citenamefont {Retzker},\ and\ \citenamefont
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{author} {\bibfnamefont {A.}~\bibnamefont {Lee}}, \bibinfo {author}
{\bibfnamefont {I.}~\bibnamefont {Cohen}}, \bibinfo {author} {\bibfnamefont
{A.}~\bibnamefont {Retzker}},\ and\ \bibinfo {author} {\bibfnamefont
{C.}~\bibnamefont {Monroe}},\ }\bibfield  {title} {\bibinfo {title}
{Realization of a quantum integer-spin chain with controllable
interactions},\ }\href {https://doi.org/10.1103/PhysRevX.5.021026} {\bibfield
{journal} {\bibinfo  {journal} {Phys. Rev. X}\ }\textbf {\bibinfo {volume}
{5}},\ \bibinfo {pages} {021026} (\bibinfo {year} {2015})}\BibitemShut
\bibitem [{\citenamefont {Bradlyn}\ \emph {et~al.}(2016)\citenamefont
{Bradlyn}, \citenamefont {Cano}, \citenamefont {Wang}, \citenamefont
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\citenamefont {Bernevig}}]{Bradlyn2016}%
\BibitemOpen
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{\bibfnamefont {M.}~\bibnamefont {Vergniory}}, \bibinfo {author}
{\bibfnamefont {C.}~\bibnamefont {Felser}}, \bibinfo {author} {\bibfnamefont
{R.~J.}\ \bibnamefont {Cava}},\ and\ \bibinfo {author} {\bibfnamefont
{B.~A.}\ \bibnamefont {Bernevig}},\ }\bibfield  {title} {\bibinfo {title}
{Beyond dirac and weyl fermions: Unconventional quasiparticles in
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{\bibfield  {journal} {\bibinfo  {journal} {Science}\ }\textbf {\bibinfo
{volume} {353}},\ \bibinfo {pages} {aaf5037} (\bibinfo {year}
{2016})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Kl{\"u}mper}\ \emph {et~al.}(1993)\citenamefont
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\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
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{Zittartz}},\ }\bibfield  {title} {\bibinfo {title} {Matrix product ground
states for one-dimensional spin-1 quantum antiferromagnets},\ }\href
{https://doi.org/10.1209/0295-5075/24/4/010} {\bibfield  {journal} {\bibinfo
{journal} {EPL (Europhysics Letters)}\ }\textbf {\bibinfo {volume} {24}},\
\bibinfo {pages} {293} (\bibinfo {year} {1993})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Affleck}\ \emph {et~al.}(1987)\citenamefont
{Affleck}, \citenamefont {Kennedy}, \citenamefont {Lieb},\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {I.}~\bibnamefont
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\bibinfo {author} {\bibfnamefont {E.~H.}\ \bibnamefont {Lieb}},\ and\
\bibinfo {author} {\bibfnamefont {H.}~\bibnamefont {Tasaki}},\ }\bibfield
{title} {\bibinfo {title} {Rigorous results on valence-bond ground states in
antiferromagnets},\ }\bibfield  {journal} {\bibinfo  {journal} {Phys. Rev.
Lett.}\ }\href {https://doi.org/10.1103/PhysRevLett.59.799}
{10.1103/PhysRevLett.59.799} (\bibinfo {year} {1987})\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Affleck}\ \emph {et~al.}(1988)\citenamefont
{Affleck}, \citenamefont {Kennedy}, \citenamefont {Lieb},\ and\ \citenamefont
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\bibinfo {author} {\bibfnamefont {E.~H.}\ \bibnamefont {Lieb}},\ and\
\bibinfo {author} {\bibfnamefont {H.}~\bibnamefont {Tasaki}},\ }\bibfield
{title} {\bibinfo {title} {Valence bond ground states in isotropic quantum
antiferromagnets},\ }in\ \href {https://doi.org/10.1007/978-3-662-06390-3_19}
{\emph {\bibinfo {booktitle} {Condensed matter physics and exactly soluble
models}}}\ (\bibinfo  {publisher} {Springer},\ \bibinfo {year} {1988})\ pp.\
\bibinfo {pages} {253--304}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Wierschem}\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {K.}~\bibnamefont
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{Beach}},\ }\bibfield  {title} {\bibinfo {title} {Detection of
symmetry-protected topological order in aklt states by exact evaluation of
the strange correlator},\ }\href {https://doi.org/10.1103/PhysRevB.93.245141}
{\bibfield  {journal} {\bibinfo  {journal} {Phys. Rev. B}\ }\textbf {\bibinfo
{volume} {93}},\ \bibinfo {pages} {245141} (\bibinfo {year}
{2016})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Pollmann}\ \emph {et~al.}(2012)\citenamefont
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\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Oshikawa}},\ }\bibfield
{title} {\bibinfo {title} {Symmetry protection of topological phases in
one-dimensional quantum spin systems},\ }\href
{https://doi.org/10.1103/PhysRevB.85.075125} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev. B}\ }\textbf {\bibinfo {volume} {85}},\ \bibinfo
{pages} {075125} (\bibinfo {year} {2012})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Bravyi}\ \emph {et~al.}(2012)\citenamefont {Bravyi},
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\citenamefont {Shor}}]{Bravyi2012}%
\BibitemOpen
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\bibinfo {author} {\bibfnamefont {R.}~\bibnamefont {Movassagh}}, \bibinfo
{author} {\bibfnamefont {D.}~\bibnamefont {Nagaj}},\ and\ \bibinfo {author}
{\bibfnamefont {P.~W.}\ \bibnamefont {Shor}},\ }\bibfield  {title} {\bibinfo
{title} {Criticality without frustration for quantum spin-1 chains},\ }\href
{https://doi.org/10.1103/PhysRevLett.109.207202} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {109}},\
\bibinfo {pages} {207202} (\bibinfo {year} {2012})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Zhang}\ \emph {et~al.}(2017)\citenamefont {Zhang},
\citenamefont {Ahmadain},\ and\ \citenamefont {Klich}}]{Zhang2017}%
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{title} {\bibinfo {title} {Novel quantum phase transition from bounded to
extensive entanglement},\ }\href {https://doi.org/10.1073/pnas.1702029114}
{\bibfield  {journal} {\bibinfo  {journal} {Proceedings of the National
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\bibitem [{\citenamefont {Nagali}\ \emph {et~al.}(2010)\citenamefont {Nagali},
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{Santamato},\ and\ \citenamefont {Sciarrino}}]{Nagali2010}%
\BibitemOpen
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{author} {\bibfnamefont {E.}~\bibnamefont {Santamato}},\ and\ \bibinfo
{author} {\bibfnamefont {F.}~\bibnamefont {Sciarrino}},\ }\bibfield  {title}
{\bibinfo {title} {Experimental generation and characterization of
single-photon hybrid ququarts based on polarization and orbital angular
momentum encoding},\ }\href {https://doi.org/10.1103/PhysRevA.81.052317}
{\bibfield  {journal} {\bibinfo  {journal} {Phys. Rev. A}\ }\textbf {\bibinfo
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{2010})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Niggemann}\ \emph {et~al.}(1997)\citenamefont
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\BibitemOpen
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{Zittartz}},\ }\bibfield  {title} {\bibinfo {title} {Quantum phase transition
in spin-3/2 systems on the hexagonal lattice—optimum ground state
approach},\ }\href {https://doi.org/10.1007/s002570050425} {\bibfield
{journal} {\bibinfo  {journal} {Zeitschrift f{\"u}r Physik B Condensed
Matter}\ }\textbf {\bibinfo {volume} {104}},\ \bibinfo {pages} {103}
(\bibinfo {year} {1997})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Alipour}\ \emph {et~al.}(2009)\citenamefont
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\BibitemOpen
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{Karimipour}},\ }\bibfield  {title} {\bibinfo {title} {Matrix product
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ferrimagnets},\ }\href {https://doi.org/10.1209/0295-5075/84/67006}
{\bibfield  {journal} {\bibinfo  {journal} {EPL (Europhysics Letters)}\
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\bibitem [{\citenamefont {Link}\ \emph {et~al.}(2020)\citenamefont {Link},
\citenamefont {Boettcher},\ and\ \citenamefont {Herbut}}]{Link2020}%
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}\bibfield  {title} {\bibinfo {title} {$d$-wave superconductivity and
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{Zittartz}},\ }\bibfield  {title} {\bibinfo {title} {Exact ground states of
spin-2 chains},\ }\href {https://doi.org/10.1209/epl/i2002-00126-5}
{\bibfield  {journal} {\bibinfo  {journal} {EPL (Europhysics Letters)}\
}\textbf {\bibinfo {volume} {59}},\ \bibinfo {pages} {889} (\bibinfo {year}
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{\bibfield  {journal} {\bibinfo  {journal} {Nature Physics}\ }\textbf
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\bibitem [{\citenamefont {Moudgalya}\ \emph
{et~al.}(2018{\natexlab{a}})\citenamefont {Moudgalya}, \citenamefont
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\bibitem [{\citenamefont {Moudgalya}\ \emph
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}\href {https://doi.org/10.1103/PhysRevB.98.235155} {\bibfield  {journal}
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\bibitem [{\citenamefont {Choi}\ \emph {et~al.}(2019)\citenamefont {Choi},
\citenamefont {Turner}, \citenamefont {Pichler}, \citenamefont {Ho},
\citenamefont {Michailidis}, \citenamefont {Papi\ifmmode~\acute{c}\else
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\BibitemOpen
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\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Serbyn}}, \bibinfo
{author} {\bibfnamefont {M.~D.}\ \bibnamefont {Lukin}},\ and\ \bibinfo
{author} {\bibfnamefont {D.~A.}\ \bibnamefont {Abanin}},\ }\bibfield  {title}
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scars},\ }\href {https://doi.org/10.1103/PhysRevLett.122.220603} {\bibfield
{journal} {\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo
{volume} {122}},\ \bibinfo {pages} {220603} (\bibinfo {year}
{2019})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Shibata}\ \emph {et~al.}(2020)\citenamefont
{Shibata}, \citenamefont {Yoshioka},\ and\ \citenamefont
\BibitemOpen
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}\bibfield  {title} {\bibinfo {title} {Onsager's scars in disordered spin
chains},\ }\href {https://doi.org/10.1103/PhysRevLett.124.180604} {\bibfield
{journal} {\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo
{volume} {124}},\ \bibinfo {pages} {180604} (\bibinfo {year}
{2020})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Lin}\ and\ \citenamefont
\BibitemOpen
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{Lin}}\ and\ \bibinfo {author} {\bibfnamefont {O.~I.}\ \bibnamefont
{Motrunich}},\ }\bibfield  {title} {\bibinfo {title} {Exact quantum many-body
scar states in the rydberg-blockaded atom chain},\ }\href
{https://doi.org/10.1103/PhysRevLett.122.173401} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {122}},\
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\bibitem [{\citenamefont {Pan}\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {J.-W.}\ \bibnamefont
{Pan}}\ and\ \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
{Zeilinger}},\ }\bibfield  {title} {\bibinfo {title}
{Greenberger-{H}orne-{Z}eilinger-state analyzer},\ }\href
{https://doi.org/10.1103/PhysRevA.57.2208} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev. A}\ }\textbf {\bibinfo {volume} {57}},\ \bibinfo
{pages} {2208} (\bibinfo {year} {1998})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Bergou}(2010)}]{bergou2010discrimination}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {J.~A.}\ \bibnamefont
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{journal} {\bibinfo  {journal} {Journal of Modern Optics}\ }\textbf {\bibinfo
{volume} {57}},\ \bibinfo {pages} {160} (\bibinfo {year} {2010})}\BibitemShut
\bibitem [{\citenamefont {Bent}\ \emph {et~al.}(2015)\citenamefont {Bent},
\citenamefont {Qassim}, \citenamefont {Tahir}, \citenamefont {Sych},
\citenamefont {Leuchs}, \citenamefont {S\'anchez-Soto}, \citenamefont
{Karimi},\ and\ \citenamefont {Boyd}}]{bent2015experimental}%
\BibitemOpen
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{author} {\bibfnamefont {D.}~\bibnamefont {Sych}}, \bibinfo {author}
{\bibfnamefont {G.}~\bibnamefont {Leuchs}}, \bibinfo {author} {\bibfnamefont
{L.~L.}\ \bibnamefont {S\'anchez-Soto}}, \bibinfo {author} {\bibfnamefont
{E.}~\bibnamefont {Karimi}},\ and\ \bibinfo {author} {\bibfnamefont {R.~W.}\
\bibnamefont {Boyd}},\ }\bibfield  {title} {\bibinfo {title} {Experimental
realization of quantum tomography of photonic qudits via symmetric
informationally complete positive operator-valued measures},\ }\href
{https://doi.org/10.1103/PhysRevX.5.041006} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev. X}\ }\textbf {\bibinfo {volume} {5}},\ \bibinfo {pages}
{041006} (\bibinfo {year} {2015})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Caves}\ \emph {et~al.}(2002)\citenamefont {Caves},
\citenamefont {Fuchs},\ and\ \citenamefont {Schack}}]{caves2002unknown}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {C.~M.}\ \bibnamefont
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and\ \bibinfo {author} {\bibfnamefont {R.}~\bibnamefont {Schack}},\
}\bibfield  {title} {\bibinfo {title} {Unknown quantum states: the quantum de
finetti representation},\ }\href {https://doi.org/10.1063/1.1494475}
{\bibfield  {journal} {\bibinfo  {journal} {Journal of Mathematical Physics}\
}\textbf {\bibinfo {volume} {43}},\ \bibinfo {pages} {4537} (\bibinfo {year}
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\bibitem [{\citenamefont {Hayashi}\ \emph {et~al.}(2005)\citenamefont
{Hayashi}, \citenamefont {Horibe},\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont
{Hayashi}}, \bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Horibe}},\
and\ \bibinfo {author} {\bibfnamefont {T.}~\bibnamefont {Hashimoto}},\
}\bibfield  {title} {\bibinfo {title} {Mean king's problem with mutually
unbiased bases and orthogonal latin squares},\ }\href
{https://doi.org/10.1103/PhysRevA.71.052331} {\bibfield  {journal} {\bibinfo
{journal} {Phys. Rev. A.}\ }\textbf {\bibinfo {volume} {71}},\ \bibinfo
{pages} {052331} (\bibinfo {year} {2005})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Schulz}\ \emph {et~al.}(2003)\citenamefont {Schulz},
\citenamefont {Steinh\"ubl}, \citenamefont {Weber}, \citenamefont {Englert},
\citenamefont {Kurtsiefer},\ and\ \citenamefont {Weinfurter}}]{oliver2003}%
\BibitemOpen
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{author} {\bibfnamefont {B.-G.}\ \bibnamefont {Englert}}, \bibinfo {author}
{\bibfnamefont {C.}~\bibnamefont {Kurtsiefer}},\ and\ \bibinfo {author}
{\bibfnamefont {H.}~\bibnamefont {Weinfurter}},\ }\bibfield  {title}
{\bibinfo {title} {Ascertaining the values of ${\ensuremath{\sigma}}_{x}$,
${\ensuremath{\sigma}}_{y}$, and ${\ensuremath{\sigma}}_{z}$ of a
polarization qubit},\ }\href {https://doi.org/10.1103/PhysRevLett.90.177901}
{\bibfield  {journal} {\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf
{\bibinfo {volume} {90}},\ \bibinfo {pages} {177901} (\bibinfo {year}
{2003})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Englert}\ \emph {et~al.}(2001)\citenamefont
{Englert}, \citenamefont {Kurtsiefer},\ and\ \citenamefont
\BibitemOpen
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{Kurtsiefer}},\ and\ \bibinfo {author} {\bibfnamefont {H.}~\bibnamefont
{Weinfurter}},\ }\bibfield  {title} {\bibinfo {title} {Universal unitary gate
for single-photon 2-qubit states},\ }\href
{https://doi.org/10.1103/PhysRevA.63.032303} {\bibfield  {journal} {\bibinfo
{journal} {Physical Review A}\ }\textbf {\bibinfo {volume} {63}},\ \bibinfo
{pages} {032303} (\bibinfo {year} {2001})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Hu}\ \emph {et~al.}(2019)\citenamefont {Hu},
\citenamefont {Gao}, \citenamefont {Qiao}, \citenamefont {Ren}, \citenamefont
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\citenamefont {Ma},\ and\ \citenamefont {Jin}}]{chengQiuHu2020}%
\BibitemOpen
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{\bibfnamefont {R.-J.}\ \bibnamefont {Ren}}, \bibinfo {author} {\bibfnamefont
{Z.}~\bibnamefont {Cao}}, \bibinfo {author} {\bibfnamefont {Z.-Q.}\
\bibnamefont {Yan}}, \bibinfo {author} {\bibfnamefont {Z.-Q.}\ \bibnamefont
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{author} {\bibfnamefont {Z.-H.}\ \bibnamefont {Ma}},\ and\ \bibinfo {author}
{\bibfnamefont {X.-M.}\ \bibnamefont {Jin}},\ }\bibfield  {title} {\bibinfo
{title} {Experimental test of tracking the king problem},\ }\href
{https://doi.org/10.34133/2019/3474305} {\bibfield  {journal} {\bibinfo
{journal} {Research}\ }\textbf {\bibinfo {volume} {2019}},\ \bibinfo {pages}
{3474305} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Troiani}(2014)}]{troiani2014entanglement}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {F.}~\bibnamefont
{Troiani}},\ }\bibfield  {title} {\bibinfo {title} {Entanglement swapping
with energy-polarization-entangled photons from quantum dot cascade decay},\
}\href {https://doi.org/10.1103/PhysRevB.90.245419} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. B}\ }\textbf {\bibinfo {volume} {90}},\
\bibinfo {pages} {245419} (\bibinfo {year} {2014})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Zopf}\ \emph {et~al.}(2019)\citenamefont {Zopf},
\citenamefont {Keil}, \citenamefont {Chen}, \citenamefont {Yang},
\citenamefont {Chen}, \citenamefont {Ding},\ and\ \citenamefont
\BibitemOpen
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{author} {\bibfnamefont {Y.}~\bibnamefont {Chen}}, \bibinfo {author}
{\bibfnamefont {J.}~\bibnamefont {Yang}}, \bibinfo {author} {\bibfnamefont
{D.}~\bibnamefont {Chen}}, \bibinfo {author} {\bibfnamefont {F.}~\bibnamefont
{Ding}},\ and\ \bibinfo {author} {\bibfnamefont {O.~G.}\ \bibnamefont
{Schmidt}},\ }\bibfield  {title} {\bibinfo {title} {Entanglement swapping
with semiconductor-generated photons violates {B}ell's inequality},\ }\href
{https://doi.org/10.1103/PhysRevLett.123.160502} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {123}},\
\bibinfo {pages} {160502} (\bibinfo {year} {2019})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Pittman}\ \emph {et~al.}(2002)\citenamefont
{Pittman}, \citenamefont {Jacobs},\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {T.~B.}\ \bibnamefont
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{Jacobs}},\ and\ \bibinfo {author} {\bibfnamefont {J.~D.}\ \bibnamefont
{Franson}},\ }\bibfield  {title} {\bibinfo {title} {Demonstration of
nondeterministic quantum logic operations using linear optical elements},\
}\href {https://doi.org/10.1103/PhysRevLett.88.257902} {\bibfield  {journal}
{\bibinfo  {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {88}},\
\bibinfo {pages} {257902} (\bibinfo {year} {2002})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Marshall}\ \emph {et~al.}(2017)\citenamefont
{Marshall}, \citenamefont {Murray},\ and\ \citenamefont
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {S.~M.}\ \bibnamefont
{Marshall}}, \bibinfo {author} {\bibfnamefont {A.~R.}\ \bibnamefont
{Murray}},\ and\ \bibinfo {author} {\bibfnamefont {L.}~\bibnamefont
{Cronin}},\ }\bibfield  {title} {\bibinfo {title} {A probabilistic framework
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{https://doi.org/10.1098/rsta.2016.0342} {\bibfield  {journal} {\bibinfo
{journal} {Philosophical Transactions of the Royal Society A: Mathematical,
Physical and Engineering Sciences}\ }\textbf {\bibinfo {volume} {375}},\
\bibinfo {pages} {20160342} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Marshall}\ \emph {et~al.}(2021)\citenamefont
{Marshall}, \citenamefont {Mathis}, \citenamefont {Carrick}, \citenamefont
{Keenan}, \citenamefont {Cooper}, \citenamefont {Graham}, \citenamefont
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{Walker} \emph {et~al.}}]{marshall2021identifying}%
\BibitemOpen
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{author} {\bibfnamefont {G.}~\bibnamefont {Keenan}}, \bibinfo {author}
{\bibfnamefont {G.~J.}\ \bibnamefont {Cooper}}, \bibinfo {author}
{\bibfnamefont {H.}~\bibnamefont {Graham}}, \bibinfo {author} {\bibfnamefont
{M.}~\bibnamefont {Craven}}, \bibinfo {author} {\bibfnamefont {P.~S.}\
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\bibnamefont {Moore}}, \bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
{Walker}}, \emph {et~al.},\ }\bibfield  {title} {\bibinfo {title}
{Identifying molecules as biosignatures with assembly theory and mass
spectrometry},\ }\href {https://doi.org/10.1038/s41467-021-23258-x}
{\bibfield  {journal} {\bibinfo  {journal} {Nature Communications}\ }\textbf
{\bibinfo {volume} {12}},\ \bibinfo {pages} {1} (\bibinfo {year}
{2021})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Bayerbach}\ \emph {et~al.}(2022)\citenamefont
{Bayerbach}, \citenamefont {D'Aurelio}, \citenamefont {van Loock},\ and\
\citenamefont {Barz}}]{bayerbach2022bell}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {M.~J.}\ \bibnamefont
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{D'Aurelio}}, \bibinfo {author} {\bibfnamefont {P.}~\bibnamefont {van
Loock}},\ and\ \bibinfo {author} {\bibfnamefont {S.}~\bibnamefont {Barz}},\
}\bibfield  {title} {\bibinfo {title} {Bell-state measurement exceeding 50\%
success probability with linear optics},\ }\href
{https://arxiv.org/abs/2208.02271} {\bibfield  {journal} {\bibinfo  {journal}
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\bibitem [{\citenamefont {Blume}(2012)}]{Blume2012}%
\BibitemOpen
\bibfield  {author} {\bibinfo {author} {\bibfnamefont {D.}~\bibnamefont
{Blume}},\ }\bibfield  {title} {\bibinfo {title} {Few-body physics with
ultracold atomic and molecular systems in traps},\ }\href
{https://doi.org/10.1088/0034-4885/75/4/046401} {\bibfield  {journal}
{\bibinfo  {journal} {Reports on Progress in Physics}\ }\textbf {\bibinfo
{volume} {75}},\ \bibinfo {pages} {046401} (\bibinfo {year}
{2012})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Parker}\ \emph {et~al.}(2019)\citenamefont {Parker},
\citenamefont {Cao}, \citenamefont {Avdoshkin}, \citenamefont {Scaffidi},\
and\ \citenamefont {Altman}}]{Parker2019}%
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\end{document}