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We prove in the multimode scenario a fundamental relation between the Wehrl and the von Neumann entropy, stating that the minimum Wehrl entropy among all the quantum states with a given von Neumann entropy is achieved by thermal Gaussian states.
A characterization of poisson processes
Alfréd Rényi · 1956
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General properties of entropy
Alfred Wehrl · 1978
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On the relation between classical and quantum-mechanical entropy
Alfred Wehrl · 1979
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Saikat Guha, Jeffrey H Shapiro, and Baris I Erkmen · 2007
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One-mode quantum gaussian channels: Structure and quantum capacity
Alexander S Holevo · 2007
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Mark M Wilde, Patrick Hayden, and Saikat Guha · 2012
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Alexander Semenovich Holevo · 2015
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Quantum Optics in Phase Space
W.P. Schleich · 2015
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Passive states as optimal inputs for single-jump lossy quantum channels
Giacomo De Palma, Andrea Mari, Seth Lloyd, and Vittorio Giovannetti · 2016
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One-mode quantum-limited gaussian channels have gaussian maximizers
Giacomo De Palma, Dario Trevisan, and Vittorio Giovannetti · 2016
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Passive states optimize the output of bosonic gaussian quantum channels
Giacomo De Palma, Dario Trevisan, and Vittorio Giovannetti · 2016
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Corrections to “the entropy power inequality for quantum systems”[mar 14 1536-1548]
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Quantum Systems, Channels, Information: A Mathematical Introduction
Alexander Semenovich Holevo · 2013
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Giacomo De Palma, Andrea Mari, and Vittorio Giovannetti · 2014
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Rikard Konig and Graeme Smith · 2014
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Giacomo De Palma, Andrea Mari, Seth Lloyd, and Vittorio Giovannetti · 2015
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Robert König and Graeme Smith · 2016
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The wehrl entropy has gaussian optimizers
Giacomo De Palma · 2017
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Gaussian states minimize the output entropy of one-mode quantum gaussian channels
Giacomo De Palma, Dario Trevisan, and Vittorio Giovannetti · 2017
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Gaussian states minimize the output entropy of the one-mode quantum attenuator
Giacomo De Palma, Dario Trevisan, and Vittorio Giovannetti · 2017
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Quantum Information Theory
M.M. Wilde · 2017
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