Higher-rank numerical ranges and compression problems

被引：74

作者：

Choi, Man-Duen

Kribs, David W. ^{[1
]}

Zyczkowski, Karol

机构：

[1] Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada

[2] Univ Toronto, Dept Math, Toronto, ON M5SM 2E4, Canada

[3] Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada

[4] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

[5] Jagiellonian Univ, Inst Phys, PL-30059 Krakow, Poland

[6] Polish Acad Sci, Ctr Theoret Phys, PL-02668 Warsaw, Poland

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2006年 / 418卷 / 2-3期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Hilbert space; Hermitian matrices; normal matrices; higher-rank numerical range; compression-values; dilations; quantum error correction;

D O I：

10.1016/j.laa.2006.03.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider higher-rank versions of the standard numerical range for matrices. A central motivation for this investigation comes from quantum error correction. We develop the basic structure theory for the higher-rank numerical ranges, and give a complete description in the Hermitian case. We also consider associated projection compression problems. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：828 / 839

页数：12

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