On the ellipticity of the higher rank numerical range
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911531215618048 |
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| author | Bebiano, Natália Lemos, Rute Soares, Graça |
| author_facet | Bebiano, Natália Lemos, Rute Soares, Graça |
| contents | 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 {\it et al}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02977 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the ellipticity of the higher rank numerical range Bebiano, Natália Lemos, Rute Soares, Graça Functional Analysis 47A12, 15A60 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 {\it et al}. |
| title | On the ellipticity of the higher rank numerical range |
| topic | Functional Analysis 47A12, 15A60 |
| url | https://arxiv.org/abs/2512.02977 |