Inner bounding the quantum entropy cone with subadditivity and subsystem coarse grainings
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866910436499128320 |
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| author | He, Temple Hubeny, Veronika E. Rota, Massimiliano |
| author_facet | He, Temple Hubeny, Veronika E. Rota, Massimiliano |
| contents | We show via explicit construction that all the extreme rays of both the three-party quantum entropy cone and the four-party stabilizer entropy cone can be obtained from subsystem coarse grainings of specific higher-party quantum states, namely extreme states characterized by saturating a (non-trivial) maximal set of instances of subadditivity. This suggests that the study of the ``subadditivity cone'', and the set of its extreme rays realizable in quantum mechanics, provides a powerful tool for deriving inner bounds for the quantum and stabilizer entropy cones, as well as constraints on new inequalities for the von Neumann entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_04074 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Inner bounding the quantum entropy cone with subadditivity and subsystem coarse grainings He, Temple Hubeny, Veronika E. Rota, Massimiliano Quantum Physics High Energy Physics - Theory We show via explicit construction that all the extreme rays of both the three-party quantum entropy cone and the four-party stabilizer entropy cone can be obtained from subsystem coarse grainings of specific higher-party quantum states, namely extreme states characterized by saturating a (non-trivial) maximal set of instances of subadditivity. This suggests that the study of the ``subadditivity cone'', and the set of its extreme rays realizable in quantum mechanics, provides a powerful tool for deriving inner bounds for the quantum and stabilizer entropy cones, as well as constraints on new inequalities for the von Neumann entropy. |
| title | Inner bounding the quantum entropy cone with subadditivity and subsystem coarse grainings |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.04074 |