Efficient and operational quantifier of non-divisibility in terms of channel discrimination
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915464583577600 |
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| author | Nery, Ranieri Bernardes, Nadja K. Cavalcanti, Daniel Chaves, Rafael Duarte, Cristhiano |
| author_facet | Nery, Ranieri Bernardes, Nadja K. Cavalcanti, Daniel Chaves, Rafael Duarte, Cristhiano |
| contents | The understanding of open quantum systems is crucial for the development of quantum technologies. Of particular relevance is the characterisation of divisible quantum dynamics, seen as a generalisation of Markovian processes to the quantum setting. Here, we propose a way to detect divisibility and quantify how non-divisible a quantum channel is through the concept of channel discrimination. We ask how well we can distinguish generic dynamics from divisible dynamics. We show that this question can be answered efficiently through semidefinite programming, which provides us with an operational and efficient way to quantify divisibility. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19108 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Efficient and operational quantifier of non-divisibility in terms of channel discrimination Nery, Ranieri Bernardes, Nadja K. Cavalcanti, Daniel Chaves, Rafael Duarte, Cristhiano Quantum Physics The understanding of open quantum systems is crucial for the development of quantum technologies. Of particular relevance is the characterisation of divisible quantum dynamics, seen as a generalisation of Markovian processes to the quantum setting. Here, we propose a way to detect divisibility and quantify how non-divisible a quantum channel is through the concept of channel discrimination. We ask how well we can distinguish generic dynamics from divisible dynamics. We show that this question can be answered efficiently through semidefinite programming, which provides us with an operational and efficient way to quantify divisibility. |
| title | Efficient and operational quantifier of non-divisibility in terms of channel discrimination |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2405.19108 |