Extremal decision rules in quantum hypothesis testing

被引：37
|
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
收藏
页码：557 / 568
页数：12
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