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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.12569 |
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| _version_ | 1866913886192533504 |
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| author | Zanoni, Elia Scandolo, Carlo Maria |
| author_facet | Zanoni, Elia Scandolo, Carlo Maria |
| contents | Many resource theories share an interesting property: An operation is free if and only if its renormalized Choi matrix is a free state. In this article, we refer to resource theories exhibiting this property as Choi-defined resource theories. We demonstrate how and under what conditions one can construct a Choi-defined resource theory, and we prove that when such a construction is possible, the free operations are all and only the completely resource-non-generating operations. Moreover, we examine resource measures, a complete family of monotones, and conversion distances in such resource theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12569 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Choi-Defined Resource Theories Zanoni, Elia Scandolo, Carlo Maria Quantum Physics Many resource theories share an interesting property: An operation is free if and only if its renormalized Choi matrix is a free state. In this article, we refer to resource theories exhibiting this property as Choi-defined resource theories. We demonstrate how and under what conditions one can construct a Choi-defined resource theory, and we prove that when such a construction is possible, the free operations are all and only the completely resource-non-generating operations. Moreover, we examine resource measures, a complete family of monotones, and conversion distances in such resource theories. |
| title | Choi-Defined Resource Theories |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.12569 |