Thermodynamic interpretation of quantum error correcting criterion

Vladimir Korepin; John Terilla

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Thermodynamic interpretation of quantum error correcting criterion

Vladimir Korepin·John Terilla

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Abstract

Shanon's fundamental coding theorems relate classical information theory to thermodynamics. More recent theoretical work has been successful in relating quantum information theory to thermodynamics. For example, Schumacher proved a quantum version of Shannon's 1948 classical noiseless coding theorem. In this note, we extend the connection between quantum information theory and thermodynamics to include quantum error correction. There is a standard mechanism for describing errors that may occur during the transmission, storage, and manipulation of quantum information. One can formulate a criterion of necessary and sufficient conditions for the errors to be detectable and correctable. We show that this criterion has a thermodynamical interpretation.

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Vladimir Korepin, John Terilla. 2002-02-10. Thermodynamic interpretation of quantum error correcting criterion. https://arxiv.org/abs/quant-ph/0202054

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