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On trace inequalities and their applications to noncommutative communication theory

Linear Algebra and its Applications Volume 395 Page 351-359
published_at 2005-01-15
2007010013.pdf
[fulltext] 143 KB
Title
On trace inequalities and their applications to noncommutative communication theory
Creators Yanagi Kenjiro
Creators Furuichi Shigeru
Creators Kuriyama Ken
Creator Keywords
Trace inequalities Concavity Quantum reliability function Noncommutative communication theory
Certain trace inequalities related to matrix logarithm are shown. These results enable us to give a partial answer of the open problem conjectured by A.S. Holevo. That is, concavity of the auxiliary function which appears in the random coding exponent as the lower bound of the quantum reliability function for general quantum states is proven in the case of 0≦s≦1.
Languages eng
Resource Type journal article
Publishers Elsevier
Date Issued 2005-01-15
File Version Author’s Original
Access Rights open access
Relations
[ISSN]0024-3794
[NCID]AA00717292
https://doi.org/10.1016/j.laa.2004.08.027
[isVersionOf] [URI]http://www.sciencedirect.com/science/journal/00243795
Schools 大学院理工学研究科(工学)