Circuit Symmetry Verification Mitigates Quantum-Domain Impairments

TL;DR

This paper introduces circuit-oriented symmetry verification techniques, including the spatio-temporal stabilizer, to improve error mitigation in noisy quantum computers by verifying circuit properties without needing quantum state knowledge.

Contribution

It proposes novel symmetry verification methods, especially the spatio-temporal stabilizer, for circuit-level error mitigation in quantum computing.

Findings

Effective verification of circuit commutativity without quantum state knowledge

Application to quantum Fourier transform and QAOA algorithms

Enhanced error mitigation capabilities demonstrated

Abstract

State-of-the-art noisy intermediate-scale quantum computers require low-complexity techniques for the mitigation of computational errors inflicted by quantum decoherence. Symmetry verification constitutes a class of quantum error mitigation (QEM) techniques, which distinguishes erroneous computational results from the correct ones by exploiting the intrinsic symmetry of the computational tasks themselves. Inspired by the benefits of quantum switch in the quantum communication theory, we propose beneficial techniques for circuit-oriented symmetry verification that are capable of verifying the commutativity of quantum circuits without the knowledge of the quantum state. In particular, we propose the spatio-temporal stabilizer (STS) technique, which generalizes the conventional quantum-domain stabilizer formalism to circuit-oriented stabilizers. The applicability and implementational strategies of the proposed techniques are demonstrated by using practical quantum algorithms, including the quantum Fourier transform (QFT) and the quantum approximate optimization algorithm (QAOA).