Improving stabilizer approximation with quantum strategy

TL;DR

This paper presents a quantum strategy using nonlocal games to enhance stabilizer approximation, providing a qubit-by-qubit gauging method that improves performance in many-body physics and quantum chemistry applications.

Contribution

It introduces a novel quantum strategy for stabilizer approximation that involves a qubit-by-qubit gauging procedure with adjustable gauge parameters.

Findings

Improved stabilizer approximation performance in practical examples

Applicable to both discrete and continuous gauge parameters

Demonstrated effectiveness in many-body physics and quantum chemistry

Abstract

We introduce a quantum strategy from nonlocal games to improve the stabilizer approximation we proposed previously. The resulting approach turns out to be a qubit-by-qubit gauging procedure for standard stabilizers, which could involve discrete or continuous gauge parameters. We take examples from many-body physics and quantum chemistry to show such a procedure leads to an improvement of the performance.