Some Connections between Frames, Mutually Unbiased Bases, and POVM's in Quantum Information Theory

被引：12

作者：

Ruskai, Mary Beth ^{[1
]}

机构：

[1] Tufts Univ, Dept Math, Medford, MA 02155 USA

来源：

ACTA APPLICANDAE MATHEMATICAE | 2009年 / 108卷 / 03期

基金：

美国国家科学基金会;

关键词：

Frames; Positive operator valued measures; Symmetric informationally complete bases; Mutually unbiased bases;

D O I：

10.1007/s10440-009-9508-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper gives a very brief overview of some aspects of quantum information theory, then explains the relationship between a positive operator valued measure (POVM) and a frame. Some special types of POVM's are defined and conjectures about them shown to be essentially conjectures about the existence of special types of frames. Finally, some connections with quantum channels and separable states are discussed.

引用

页码：709 / 719

页数：11

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