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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2305.20063 |
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| _version_ | 1866915860144193536 |
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| author | Wilson, Matt Ormrod, Nick |
| author_facet | Wilson, Matt Ormrod, Nick |
| contents | We reconstruct the transformations of quantum theory using a physically motivated postulate. This postulate states that transformations should be locally applicable, and recovers the linear isometries from pure quantum theory, as well as the completely positive, trace-preserving maps from mixed quantum theory. Notably, in the pure case, linearity with respect to the superposition rule and reversibility are both derived from this locality principle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_20063 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Origin of Linearity and Unitarity in Quantum Theory Wilson, Matt Ormrod, Nick Quantum Physics We reconstruct the transformations of quantum theory using a physically motivated postulate. This postulate states that transformations should be locally applicable, and recovers the linear isometries from pure quantum theory, as well as the completely positive, trace-preserving maps from mixed quantum theory. Notably, in the pure case, linearity with respect to the superposition rule and reversibility are both derived from this locality principle. |
| title | On the Origin of Linearity and Unitarity in Quantum Theory |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2305.20063 |