Extremal decision rules in quantum hypothesis testing

被引：38

作者：

Parthasarathy, KR ^{[1
]}

机构：

[1] Indian Inst Technol, New Delhi 110016, India

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 1999年 / 2卷 / 04期

关键词：

D O I：

10.1142/S0219025799000321

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a complete description of the extreme points of the convex set of all decision rules in testing multiple hypotheses concerning a quantum system whose states are described by density matrices in a finite-dimensional Hilbert space. Holevo's equations for an optimal decision are derived by methods of elementary calculus and a simple example is given in order to illustrate the nonuniqueness of optimal decision rules.

引用

页码：557 / 568

页数：12

共 8 条

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[2]

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[3]

HOLEVO AS, 1982, PROBABILISTIC STAT A

[4]

LUENBERGER D. G., 1969, Optimization by Vector Space Methods