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Completely positive maps and entropy inequalities

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Abstract

It is proved that the relative entropy for a quantum system is non-increasing under a trace-preserving completely positive map. The proof is based on the strong sub-additivity property of the quantum-mechanical entropy.

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Authors and Affiliations

  1. Department of Theoretical Physics, Royal Institute of Technology, Stockholm, Sweden

    Göran Lindblad

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  1. Göran Lindblad
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Communicated by H. Araki

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Lindblad, G. Completely positive maps and entropy inequalities. Commun.Math. Phys. 40, 147–151 (1975). https://doi.org/10.1007/BF01609396

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  • DOI: https://doi.org/10.1007/BF01609396

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