Higher-Rank Numerical Ranges and Compression Problems
Man-Duen Choi, David W. Kribs, Karol Zyczkowski
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.
Create a lesson
Related papers
Truncated Moment Problems and the Extension Property on Monomial Curves
Rajkamal Nailwal, Aljaž Zalar, Igor Zobovič
Optimal stability of regularized spectral differentiation in Sobolev spaces
Teemu Tyni
Modular Topologies on Vector Spaces: Structure and Normability
M. Khamsi, J. Lang, O. Mendez
Critical Norm Profiles for Finite-Prime Composition Operators on the Hardy Space of Dirichlet Series
Xiang Fang, Feng Guo, Aman Mishra et al.
Sparse Operators and their boundedness on Morrey-type Spaces: An Expository Note
Manasa N. Vempati
Sharp Concave-Function Transfer for Lee-Type Schatten Norm Inequalities
Xing Li