Cartan-covariant Quantum Channels and the PPT$^{2}$ conjecture
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915095496359936 |
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| author | Prudhoe, Sean |
| author_facet | Prudhoe, Sean |
| contents | Two-parameter generalizations of depolarizing channels are introduced and studied. These so-called Cartan-covariant channels have a covariance Lie group that forms a Cartan decomposition of SU$(D)$. The regions of completely positive and completely co-positive Cartan-covariant trace-preserving maps are found through a spectral analysis of the Choi state. Furthermore, we prove that the PPT$^{2}$ conjecture holds for these channels in any dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03959 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cartan-covariant Quantum Channels and the PPT$^{2}$ conjecture Prudhoe, Sean Quantum Physics Two-parameter generalizations of depolarizing channels are introduced and studied. These so-called Cartan-covariant channels have a covariance Lie group that forms a Cartan decomposition of SU$(D)$. The regions of completely positive and completely co-positive Cartan-covariant trace-preserving maps are found through a spectral analysis of the Choi state. Furthermore, we prove that the PPT$^{2}$ conjecture holds for these channels in any dimension. |
| title | Cartan-covariant Quantum Channels and the PPT$^{2}$ conjecture |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2501.03959 |