Mitigating Coherent Errors through a Decoherence-Resistant Variational Framework employing Stabilizer State

TL;DR

This paper introduces VCEM, a variational method leveraging stabilizer formalism to suppress coherent errors in quantum systems, improving the quality of stabilizer states despite noise and miscalibrations.

Contribution

The paper presents a novel variational approach, VCEM, that pre-compensates coherent errors in stabilizer states using stabilizer formalism and optimization, enhancing error mitigation strategies.

Findings

VCEM effectively suppresses coherent errors in simulations.

VCEM remains robust against incoherent noise.

Pre-compensation improves overall quantum state fidelity.

Abstract

Stabilizer states are a central resource in quantum information processing, underpinning a wide range of applications. While they can be efficiently generated via Clifford circuits, the presence of coherent errors, such as small-angle miscalibrations in native gate implementations, can significantly impact their quality. In this work, we introduce Variational Coherent Error Mitigation (VCEM), a method that employs the stabilizer formalism to suppress coherent errors through variational optimization of native gates parameters. VCEM demonstrates robust performance, remaining largely unaffected by incoherent noise, enabling pre-compensation of coherent errors prior to the application of standard incoherent error mitigation techniques. We demonstrate the effectiveness and robustness of VCEM through numerical simulations.