Diagonal Unitary Covariant Superchannels
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909982553800704 |
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| author | Chruściński, Dariusz Pandey, Vivek Sohail |
| author_facet | Chruściński, Dariusz Pandey, Vivek Sohail |
| contents | We present a complete characterization of diagonal unitary covariant (DU-covariant) superchannels, i.e. higher-order transformations transforming quantum channels into themselves. Necessary and sufficient conditions for complete positivity and trace preservation are derived and the canonical decomposition describing DU-covariant superchannels is provided. The presented framework unifies and extends known families of covariant quantum channels and enables explicit analysis of their action on physically relevant examples, including amplitude-damping, bit-flip, and Pauli channels. Our results provide a practical toolbox for symmetry-restricted higher-order quantum processes and offer a setting for exploring open problems such as the celebrated PPT$^2$ conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24389 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Diagonal Unitary Covariant Superchannels Chruściński, Dariusz Pandey, Vivek Sohail Quantum Physics We present a complete characterization of diagonal unitary covariant (DU-covariant) superchannels, i.e. higher-order transformations transforming quantum channels into themselves. Necessary and sufficient conditions for complete positivity and trace preservation are derived and the canonical decomposition describing DU-covariant superchannels is provided. The presented framework unifies and extends known families of covariant quantum channels and enables explicit analysis of their action on physically relevant examples, including amplitude-damping, bit-flip, and Pauli channels. Our results provide a practical toolbox for symmetry-restricted higher-order quantum processes and offer a setting for exploring open problems such as the celebrated PPT$^2$ conjecture. |
| title | Diagonal Unitary Covariant Superchannels |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.24389 |