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A monotonicity version of a concavity theorem of Lieb

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Abstract

We give a simple proof of a strengthened version of a theorem of Lieb that played a key role in the proof of strong subadditivity of the quantum entropy.

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Acknowledgements

I thank Aleksander Müller-Hermes for helpful correspondence on his work with Reeb.

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Correspondence to Eric A. Carlen.

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Work partially supported by U.S. National Science Foundation grant DMS 2055282.

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Carlen, E.A. A monotonicity version of a concavity theorem of Lieb. Arch. Math. 119, 525–529 (2022). https://doi.org/10.1007/s00013-022-01774-6

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