Article ID Journal Published Year Pages File Type
9498623 Linear Algebra and its Applications 2005 9 Pages PDF
Abstract
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.
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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
On trace inequalities and their applications to noncommutative communication theory
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