Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing

We present a coherent counter-diabatic quantum protocol to prepare ground states in the lattice gauge mapping of all-to-all Ising models (LHZ) with considerably enhanced final ground state fidelity compared to a quantum annealing protocol.We make use of a variational method to find approximate counter-diabatic Hamiltonians that has recently been introduced by Sels and Polkovnikov (2017 Proc.Natl.Acad.Sci.114 3909).The resulting additional terms in our protocol are time-dependent local onsite y-magnetic fields.These additional Hamiltonian terms do not increase the minimal energy gap, but instead compensate for the Berry curvature.A single free parameter is introduced which is optimized via classical updates.The protocol consists only of local and nearest-neighbor terms which makes it attractive for implementation in near term experiments.