Resilience to time-correlated noise in quantum computation

TL;DR

This paper demonstrates that quantum error correction can tolerate arbitrary time-correlated noise if the noise is weakly spatially correlated, ensuring reliable quantum memories under local stochastic noise.

Contribution

It proves that time correlations in noise do not affect fault-tolerance if spatial correlations are weak, extending the applicability of quantum error correction techniques.

Findings

Single-shot error correction has a noise threshold under spatially local stochastic noise.

Time correlations in noise do not compromise fault-tolerance with weak spatial correlations.

Quantum memories remain reliable despite arbitrary time correlations in noise.

Abstract

Fault-tolerant quantum computation techniques rely on weakly correlated noise. Here I show that it is enough to assume weak spatial correlations: time correlations can take any form. In particular, single-shot error correction techniques exhibit a noise threshold for quantum memories under spatially local stochastic noise.