Suppressing Coherent Gauge Drift in Quantum Simulations

TL;DR

This paper introduces a method to reduce gauge symmetry errors in quantum simulations of non-Abelian gauge theories by applying pseudorandom gauge transformations, aiming to improve accuracy on noisy quantum hardware.

Contribution

The paper proposes a novel technique using pseudorandom gauge transformations to suppress coherent gauge drift errors in quantum simulations of gauge theories.

Findings

Effective suppression of gauge drift errors demonstrated

Applicable to non-Abelian gauge theories in NISQ devices

Potential to enhance simulation accuracy

Abstract

Simulations of field theories on noisy quantum computers must contend with errors introduced by that noise. For gauge theories, a large class of errors violate gauge symmetry, and thus may result in unphysical processes occurring in the simulation. We present a method, applicable to non-Abelian gauge theories, for suppressing coherent gauge drift errors through the repeated application of pseudorandom gauge transformation. In cases where the dominant errors are gauge-violating, we expect this method to be a practical way to improve the accuracy of NISQ-era simulations.