1. Quantum codes do not fix isotropic errors
- Author
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L. M. Pozo-Coronado, A. L. Fonseca de Oliveira, and Jesús García López de Lacalle
- Subjects
Work (thermodynamics) ,Uniform distribution (continuous) ,Computer science ,Isotropy ,Quantum codes ,Statistical and Nonlinear Physics ,Variance (accounting) ,Theoretical Computer Science ,Electronic, Optical and Magnetic Materials ,Modeling and Simulation ,Signal Processing ,Electrical and Electronic Engineering ,Algorithm ,Quantum ,Electronic circuit ,Quantum computer - Abstract
In this work, we prove that quantum error correcting codes do not fix isotropic errors (Theorem 5), 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 (Theorem 3) and as a result, it already loses all the computing information.
- Published
- 2021
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