Floquet evolution of the q-deformed \texorpdfstring{SU(3)${}_1$}{SU(3)1}
  Yang-Mills theory on a two-leg ladder
We simulate Floquet time-evolution of a truncated SU(3) lattice Yang-Mills
theory on a two-leg ladder geometry under open boundary conditions using IBM's
superconducting 156-qubit device ibm\_fez. To this end, we derive the quantum
spin representation of the lattice Yang-Mills theory, and compose a quantum
circuit carefully tailored to hard wares, reducing the use of CZ gates. Since
it is still challenging to simulate Hamiltonian evolution in present noisy
quantum processors, we make the step size in the Suzuki-Trotter decomposition
very large, and simulate thermalization dynamics in Floquet circuit composed of
the Suzuki-Trotter evolution. We demonstrate that IBM's Heron quantum processor
can simulate, by error mitigation, Floqeut thermalization dynamics in a large
system consisting of $62$ qubits. Our work would be a benchmark for further
quantum simulations of lattice gauge theories using real devices.
Tomoya Hayata Yoshimasa Hidaka