Quantum optimization within lattice gauge theory model on a quantum simulator

Abstract Simulating lattice gauge theory (LGT) Hamiltonian and its nontrivial states by programmable quantum devices has attracted numerous attention in recent years. Rydberg atom arrays constitute one of the most rapidly developing arenas for simulation computing. The $${{\mathbb{Z}}}_{2}$$ Z 2 LGT topological order been realized experiments while U (1) is being worked hard on way. States have local constraints are fragmented into several winding sectors with protection. It therefore difficult to reach ground state target sector experiments, it also an important task memory. Here, we propose a protocol sweeping annealing (SQA) searching among sectors. With Monte Carlo method, show that this SQA linear time complexity size applications antiferromagnetic transverse field Ising model, which emergent fields. This can be easily platforms such as array D-wave annealer. We expect approach would provide efficient recipe resolving hindrances optimization preparation state.