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
Title
On trace inequalities and their applications to noncommutative communication theory
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
[isVersionOf]
[URI]http://www.sciencedirect.com/science/journal/00243795
Schools
大学院理工学研究科（工学）