Performance enhancement of surface codes via recursive MWPM decoding
Abstract
The minimum weight perfect matching (MWPM) decoder is the standard decoding strategy for quantum surface codes. However, it suffers a harsh decrease in performance when subjected to biased or non-identical quantum noise. In this work, we modify the conventional MWPM decoder so that it considers the biases, the non-uniformities and the relationship between , and errors of the constituent qubits of a given surface code. Our modified approach, which we refer to as the recursive MWPM decoder, obtains an improvement in the probability threshold under depolarizing noise. We also obtain significant performance improvements when considering biased noise and independent non-identically distributed (i.ni.d.) error models derived from measurements performed on state-of-the-art quantum processors. In fact, when subjected to i.ni.d. noise, the recursive MWPM decoder yields a performance improvement of over the conventional MWPM strategy and, in some cases, it even surpasses the performance obtained over the well-known depolarizing channel.
Cite
@article{arxiv.2212.11632,
title = {Performance enhancement of surface codes via recursive MWPM decoding},
author = {Antonio deMarti iOlius and Josu Etxezarreta Martinez and Patricio Fuentes and Pedro M. Crespo},
journal= {arXiv preprint arXiv:2212.11632},
year = {2023}
}