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On the generalized free energy inequality

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Publication:513315
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DOI10.22034/aot.1610.1041zbMath1373.47007OpenAlexW2588125326MaRDI QIDQ513315

João da Providência, Natália Bebiano

Publication date: 6 March 2017

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: http://www.aot-math.org/article_41815_ffcf885093fd1198f9d79f7ef7a5d321.pdf


zbMATH Keywords

numerical rangevon Neumann entropygeneralized free energy inequalitymaximum-entropy inference


Mathematics Subject Classification ID

Parametric inference under constraints (62F30) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Numerical range, numerical radius (47A12)


Related Items (2)

Toward non-Hermitian quantum statistical thermodynamics ⋮ Maximum entropy principle and Landau free energy inequality



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Matrix inequalities in statistical mechanics.
  • Inequalities for quantum relative entropy
  • Continuity of the maximum-entropy inference: Convex geometry and numerical ranges approach
  • Pre-images of extreme points of the numerical range, and applications
  • Information Theory and Statistical Mechanics
  • Nondifferentiabie points of ∂Wc(A)


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