Quantum error mitigation for parametric circuits

TL;DR

This paper introduces a global randomized error cancellation method for quantum error mitigation in parametric circuits, leveraging classical computations to improve quantum accuracy.

Contribution

The paper proposes a novel GREC method that combines randomized quantum circuits with classical data comparison for effective error mitigation.

Findings

Demonstrated effectiveness on a 4-spin Ising model

Achieved error reduction through linear combination of circuits

Applicable to parametric circuits with classical computability

Abstract

Reducing errors is critical to the application of modern quantum computers. In the current Letter, we investigate the quantum error mitigation considering parametric circuits accessible by classical computations in some range of their parameters. We present a method of global randomized error cancellations (GREC) mitigating quantum errors by summing a linear combination of additionally randomized quantum circuits with weights determined by comparison with the referent classically computable data. We illustrate the performance of this method on the example of the $n = 4$ spins anti-ferromagnetic Ising model in the transverse field.