REMARKS ON THE FREE RELATIVE ENTROPY AND THE FREE FISHER INFORMATION DISTANCE

DOI10.1142/S0219025710004048zbMath1203.46044OpenAlexW1992584038MaRDI QIDQ3580208

Hiroaki Yoshida

Publication date: 11 August 2010

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025710004048

zbMATH Keywords

free relative entropyfree Fisher information distancestandardized free Fisher information

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Channel models (including quantum) in information and communication theory (94A40)

Cites Work

• A free analogue of Shannon's problem on monotonicity of entropy
• The analogues of entropy and of Fisher's information measure in free probability theory. I
• Fisher information inequalities and the central limit theorem
• REMARKS ON A SEMICIRCULAR PERTURBATION OF THE FREE FISHER INFORMATION
• Logarithmic Sobolev Inequalities

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