High-threshold topological quantum error correction against biased noise

TL;DR

This paper introduces a topological quantum error correction scheme tailored for biased noise, achieving high error tolerance with only local interactions in 2D systems, advancing scalable quantum computing.

Contribution

It presents a novel combination of repetition code and topological cluster state optimized for dephasing-biased errors, improving error thresholds.

Findings

Error tolerance up to 1.83% per gate.

Requires only short-range interactions in 2D.

Effective against biased noise models.

Abstract

Quantum information can be protected from decoherence and other errors, but only if these errors are sufficiently rare. For quantum computation to become a scalable technology, practical schemes for quantum error correction that can tolerate realistically high error rates will be necessary. In some physical systems, errors may exhibit a characteristic structure that can be carefully exploited to improve the efficacy of error correction. Here, we describe a scheme for topological quantum error correction to protect quantum information from a dephasing-biased error model, where we combine a repetition code with a topological cluster state. We find that the scheme tolerates error rates of up to 1.37%-1.83% per gate, requiring only short-range interactions in a two-dimensional array.