Dihedral lattice gauge theories on a quantum annealer
Michael Fromm, Owe Philipsen, Christopher Winterowd · EPJ Quantum Technology · 2023
Abstract We study lattice gauge theory with discrete, non-Abelian gauge groups. We extend the formalism of previous studies on D-Wave’s quantum annealer as a computing platform to finite, simply reducible gauge groups. As an example, we use the dihedral group $D_{n}$ D n with $n=3,4$ n = 3 , 4 on a two plaquette ladder for which we provide proof-of-principle calculations of the ground-state and employ the known time evolution formalism with Feynman clock states.