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A Note on Quantum Entropy

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Abstract

Incremental information, as measured by the quantum entropy, is increasing when two ensembles are united. This result was proved by Lieb and Ruskai, and it is the foundation for the proof of strong subadditivity of quantum entropy. We present a truly elementary proof of this fact in the context of the broader family of matrix entropies introduced by Chen and Tropp.

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Authors and Affiliations

  1. Institute for Excellence in Higher Education, Tohoku University, Sendai, Miyagi, Japan

    Frank Hansen

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  1. Frank Hansen
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Correspondence to Frank Hansen.

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Hansen, F. A Note on Quantum Entropy. Math Phys Anal Geom 19, 7 (2016). https://doi.org/10.1007/s11040-016-9213-1

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  • DOI: https://doi.org/10.1007/s11040-016-9213-1

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