Probabilities of Failure for Quantum Error Correction
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Author(s)
Scott, A.
Griffith University Author(s)
Year published
2005
Metadata
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We investigate the performance of a quantum error-correcting code when pushed beyond its intended capacity to protect against errors, presenting formulae for the probability of failure when the errors affect more qudits than that specified by the code's minimum distance. Such formulae provide a means to rank different codes of the same minimum distance. We consider both error detection and error correction, treating explicit examples in the case of stabilizer codes constructed from qubits and encoding a single qubitWe investigate the performance of a quantum error-correcting code when pushed beyond its intended capacity to protect against errors, presenting formulae for the probability of failure when the errors affect more qudits than that specified by the code's minimum distance. Such formulae provide a means to rank different codes of the same minimum distance. We consider both error detection and error correction, treating explicit examples in the case of stabilizer codes constructed from qubits and encoding a single qubit
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Journal Title
Quantum Information Processing
Volume
4
Issue
5
Copyright Statement
© 2005 Springer-Verlag. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. The original publication is available at www.springerlink.com
Subject
Quantum Physics not elsewhere classified
Mathematical Physics
Quantum Physics
Computation Theory and Mathematics