Thermodynamic Interpretation of the Quantum Error Correcting Criterion |
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Authors: | Korepin Vladimir Terilla John |
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Affiliation: | (1) Yang Institute of Theoretical Physics, State University of New York, Stony Brook, New York, 11794-3840;(2) Department of Mathematics, State University of New York, Stony Brook, New York, 11794-3651 |
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Abstract: | Shannon'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.
PACS: 03.67; 05.30; 63.10 |
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Keywords: | quantum error correction thermodynamics spin chains |
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