Quantum Error Mitigation by Global Randomized Error Cancellation for Adiabatic Evolution in the Schwinger Model

TL;DR

This paper introduces an extension of the global randomized error cancellation method for quantum error mitigation, demonstrating its effectiveness in adiabatic evolution of the Schwinger model on noisy quantum devices, with improved accuracy and efficiency.

Contribution

The paper presents a novel application of adiabatic GREC to the Schwinger model, showing successful transfer of error mitigation across parameter regimes and phases, with better performance than ZNE.

Findings

Adiabatic GREC reduces errors more effectively than ZNE.

Error mitigation transfers between different parameter regimes and phases.

Adiabatic GREC can be more resource-efficient than existing methods.

Abstract

We extend the global randomized error cancellation (GREC) method for quantum error mitigation (QEM) in an application to adiabatic evolution of states on a noisy quantum device. We apply the adiabatic GREC method to the evolution of eigenstates in the lattice Schwinger model on a simulated quantum device with custom noise. Our results suggest that the corresponding QEM learned in one parameter regime of the model successfully transfers to a different parameter regime. In particular, our findings indicate that it transfers between different phases of the model. We observe that adiabatic GREC produces a smaller error than zero noise extrapolation (ZNE). Furthermore, in general, adiabatic GREC can be more cost-efficient in terms of the total number of gates used for the simulations. We comment on approaches to further reduce the necessary quantum computational resources. We also outline extensions of the introduced adiabatic GREC QEM method.