Universal recoverability of quantum states in tracial von-Neumann algebras
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914189563396096 |
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| author | Bhattacharya, Saptak |
| author_facet | Bhattacharya, Saptak |
| contents | In this paper, we discuss a refinement of quantum data processing inequality for the sandwiched quasi-relative entropy $\mathcal{S}_2$ on a tracial von-Neumann algebra. The main result is a universal recoverability bound with the Petz recovery map, which was previously obtained in the finite dimensional setup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08418 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal recoverability of quantum states in tracial von-Neumann algebras Bhattacharya, Saptak Quantum Physics Operator Algebras 81P17, 46L52 In this paper, we discuss a refinement of quantum data processing inequality for the sandwiched quasi-relative entropy $\mathcal{S}_2$ on a tracial von-Neumann algebra. The main result is a universal recoverability bound with the Petz recovery map, which was previously obtained in the finite dimensional setup. |
| title | Universal recoverability of quantum states in tracial von-Neumann algebras |
| topic | Quantum Physics Operator Algebras 81P17, 46L52 |
| url | https://arxiv.org/abs/2512.08418 |