Quantum codes do not fix isotropic errors
arXiv:2502.07075 · doi:10.1007/s11128-020-02980-3
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.
arXiv admin note: substantial text overlap with arXiv:2101.03971