Higher-Rank Numerical Ranges and Compression Problems
Functional Analysis
2007-05-23 v2 Operator Algebras
Quantum Physics
Abstract
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.
Cite
@article{arxiv.math/0511278,
title = {Higher-Rank Numerical Ranges and Compression Problems},
author = {Man-Duen Choi and David W. Kribs and Karol Zyczkowski},
journal= {arXiv preprint arXiv:math/0511278},
year = {2007}
}
Comments
14 pages, 3 figures, to appear in Linear Algebra and its Applications