Thermodynamic Interpretation of the Quantum Error Correcting Criterion

  • Authors:

  • Vladimir Korepin;John Terilla

  • Affiliations:

  • Yang Institute of Theoretical Physics, State University of New York, Stony Brook, New York 11794-3840;Department of Mathematics, State University of New York, Stony Brook, New York 11794-3651

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2002

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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