Channel-State duality with centers
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914432027721728 |
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| author | Langenscheidt, Simon Colafranceschi, Eugenia Oriti, Daniele |
| author_facet | Langenscheidt, Simon Colafranceschi, Eugenia Oriti, Daniele |
| contents | We study extensions of the mappings arising in usual channel-state duality to the case of Hilbert spaces with a direct sum structure. This setting arises in representations of algebras with centers, which are commonly associated with constraints, and it has many physical applications from quantum many-body theory to holography and quantum gravity. We establish that there is a general relationship between non-separability of the state and the isometric properties of the induced channel. We also provide a generalisation of our approach to algebras of trace-class operators on infinite dimensional Hilbert spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16004 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Channel-State duality with centers Langenscheidt, Simon Colafranceschi, Eugenia Oriti, Daniele Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics We study extensions of the mappings arising in usual channel-state duality to the case of Hilbert spaces with a direct sum structure. This setting arises in representations of algebras with centers, which are commonly associated with constraints, and it has many physical applications from quantum many-body theory to holography and quantum gravity. We establish that there is a general relationship between non-separability of the state and the isometric properties of the induced channel. We also provide a generalisation of our approach to algebras of trace-class operators on infinite dimensional Hilbert spaces. |
| title | Channel-State duality with centers |
| topic | Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2404.16004 |