On the ellipticity of the higher rank numerical range (Preprint)

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Type: Preprint
National /International: International
Title: On the ellipticity of the higher rank numerical range
Publication Date: 2025-12-10
Authors: - Natália Bebiano
- Rute Lemos
- Graça Soares
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 for2-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.

Institution: DMUC 25-34
Online version: http://www.mat.uc.pt...prints/eng_2025.html
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