Quantum codes do not fix isotropic errors
Quantum Physics
2025-02-12 v1
Abstract
In this work we prove that quantum error correcting codes do not fix isotropic errors, even assuming that their correction circuits do not introduce new errors. We say that a quantum code does not fix a quantum computing error if its application does not reduce the variance of the error. We also prove for isotropic errors that, if the correction circuit of a quantum code detects an error, the corrected logical qubit has uniform distribution and as a result, it already loses all the computing information.
Keywords
Cite
@article{arxiv.2502.07075,
title = {Quantum codes do not fix isotropic errors},
author = {Jesús García López de Lacalle and Luis Miguel Pozo Coronado and André L. Fonseca de Oliveira},
journal= {arXiv preprint arXiv:2502.07075},
year = {2025}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2101.03971