A free analogue of Shannon's problem on monotonicity of entropy

DOI10.1016/j.aim.2006.03.014zbMath1106.94015arXivmath/0510103OpenAlexW2594079813MaRDI QIDQ861057

Dimitri Shlyakhtenko

Publication date: 9 January 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510103

zbMATH Keywords

entropyfree probability theoryinformation theoryfree entropy

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

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Cites Work

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• FREE ENTROPY
• Some inequalities satisfied by the quantities of information of Fisher and Shannon
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