in cavities [@ref:Simon_PRL_07], warm vapors of alkali atoms [@ref:Eisaman_Lukin; @ref:Sherson_Nat_06; @ref:Reim_NatPhot10], ultracold single atoms in cavities [@ref:Specht_Nat_11], and solid-state systems composed of rare-earth dopants in crystals [@ref:Clausen_Nat11; @ref:Saglamyurek_Nat11]. Specifically, retrieval efficiencies as high as 73$\%$ and storage times as long as 3.2 ms have been simultaneously demonstrated using ultracold atoms [@ref:Bao_Nphys_2012]. The combination of large optical depths and long ground state hyperfine coherence make ultracold atomic ensembles an attractive platform for optical quantum memories.

While there are quantum memory schemes which use probabilistically-generated spin waves from spontaneous Raman scattering in atomic ensembles, it has been shown that schemes based on fast (rates approaching the GHz scale) single photon or entangled photon sources can provide better performance [@ref:Sangouard_PRA_2007; @ref:Sangouard_RMP_2011]. Thus, one would ideally like a source of quantum light states that is on-demand and bright, meaning it can produce these photons on fast timescales (broadband) in a triggered fashion. In addition, these broadband photons should be indistinguishable so they bunch perfectly on a beamsplitter [@ref:Knill_Nat_01]. A promising source of such on-demand, non-classical light states are epitaxially grown, GaAs-based semiconductor quantum dots (QDs) [@ref:Shields_NPhot]. The short spontaneous emission lifetime of a QD, more than an order of magnitude shorter than that of 