On the ellipticity of the higher rank numerical range
Abstract
The higher rank numerical range is a concept that generalizes the classical numerical range and it has application in quantum error correction. We investigate these sets for 2-by-2 block matrices with associated Kippenhahn curves consisting of ellipses (and eventually points). As a consequence, elliptical higher rank numerical range results are derived in a unified way, using an approach developed by Spitkovsky et al.
Fields of Study & Subjects
Matrix Theory and Algorithms
Polynomial and algebraic computation
Tensor decomposition and applications
Publication details
- Journal / source
- Journal of Mathematical Analysis and Applications
- Volume
- 560
- Issue
- 2
- Pages
- 130614–130614
- Publication date
- 17 March 2026
- Language
- EN