Floquet prethermalization of ${\bf Z}_2$ lattice gauge theory on
  superconducting qubits
Simulating nonequilibirum dynamics of a quantum many-body system is one of
the promising applications of quantum computing. We simulate the time evolution
of one-dimensional ${\bf Z}_2$ lattice gauge theory on IBM's superconducting
156-qubit device ibm\_fez. We consider the Floquet circuit made of the Trotter
decomposition of Hamiltonian evolution and focus on its dynamics toward
thermalization. Quantum simulation with the help of error mitigation is
successful in running the Floquet circuit made of $38$ and $116$ qubits up to
$10$ Trotter steps in the best case. This is enough to reach the early stage of
prethermalization. Our work would be a benchmark for the potential power of
quantum computing for high-energy physics problems.
Tomoya Hayata Kazuhiro Seki Arata Yamamoto