Scalable Neural Decoder for Topological Surface Codes

TL;DR

This paper introduces a scalable neural network decoder for topological surface codes that improves error correction efficiency and accuracy, enabling practical quantum computing on larger qubit systems.

Contribution

The paper presents a novel neural network-based decoder that scales to tens of thousands of qubits and outperforms existing decoders in speed and error threshold.

Findings

Reduces error rates by up to two orders of magnitude.

Increases error threshold by up to 15%.

Faster decoding times than union find decoder.

Abstract

With the advent of noisy intermediate-scale quantum (NISQ) devices, practical quantum computing has seemingly come into reach. However, to go beyond proof-of-principle calculations, the current processing architectures will need to scale up to larger quantum circuits which in turn will require fast and scalable algorithms for quantum error correction. Here we present a neural network based decoder that, for a family of stabilizer codes subject to depolarizing noise and syndrome measurement errors, is scalable to tens of thousands of qubits (in contrast to other recent machine learning inspired decoders) and exhibits faster decoding times than the state-of-the-art union find decoder for a wide range of error rates (down to 1%). The key innovation is to autodecode error syndromes on small scales by shifting a preprocessing window over the underlying code, akin to a convolutional neural network in pattern recognition approaches. We show that such a preprocessing step allows to effectively reduce the error rate by up to two orders of magnitude in practical applications and, by detecting correlation effects, shifts the actual error threshold, up to fifteen percent higher than the threshold of conventional error correction algorithms such as union find or minimum weight perfect matching, even in the presence of measurement errors. An in-situ implementation of such machine learning-assisted quantum error correction will be a decisive step to push the entanglement frontier beyond the NISQ horizon.