REMARKS ON A SEMICIRCULAR PERTURBATION OF THE FREE FISHER INFORMATION

DOI10.1142/S0219025708002999zbMath1154.46038OpenAlexW2014956810MaRDI QIDQ3520353

Hiroaki Yoshida

Publication date: 26 August 2008

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/s0219025708002999

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

• A free analogue of Shannon's problem on monotonicity of entropy
• Proof of an entropy conjecture of Wehrl
• The analogues of entropy and of Fisher's information measure in free probability theory. I
• The analogues of entropy and of Fisher's information measure in free probability theory. II
• The analogues of entropy and of Fisher's information measure in free probability theory. VI: Liberation and mutual free information
• The analogues of entropy and of Fisher's information measure in free probability theory. III: The absence of Cartan subalgebras
• Volumes of restricted Minkowski sums and the free analogue of the entropy power inequality
• FREE ENTROPY
• Mutual Information and Minimum Mean-Square Error in Gaussian Channels
• A simple proof of the entropy-power inequality
• Information theoretic inequalities

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