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arXiv · 2502.07075

Quantum codes do not fix isotropic errors

Jesús García López de Lacalle·Luis Miguel Pozo Coronado·André L. Fonseca de Oliveira
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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 $m-$qubit has uniform distribution and as a result, it already loses all the computing information.

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Jesús García López de Lacalle, Luis Miguel Pozo Coronado, André L. Fonseca de Oliveira. 2025-01-27. Quantum codes do not fix isotropic errors. https://doi.org/10.1007/s11128-020-02980-3

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