Classical pair of states as optimal pair for quantum distinguishability quantifiers
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910982929907712 |
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| author | Vacchini, Bassano Smirne, Andrea Megier, Nina |
| author_facet | Vacchini, Bassano Smirne, Andrea Megier, Nina |
| contents | The capability to quantitatively distinguish quantum states is of great importance for a variety of tasks, and has recently played an important role in the study of quantum reduced dynamics and their characterization in terms of memory effects. A crucial property of quantum distinguishability quantifiers considered in the latter framework is the contractivity under the action of completely positive trace-preserving maps. We show that this requirement warrants that the pairs on which these quantifiers attain their maximal value are pairs of orthogonal, and in this sense classical, states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02575 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classical pair of states as optimal pair for quantum distinguishability quantifiers Vacchini, Bassano Smirne, Andrea Megier, Nina Quantum Physics Mathematical Physics The capability to quantitatively distinguish quantum states is of great importance for a variety of tasks, and has recently played an important role in the study of quantum reduced dynamics and their characterization in terms of memory effects. A crucial property of quantum distinguishability quantifiers considered in the latter framework is the contractivity under the action of completely positive trace-preserving maps. We show that this requirement warrants that the pairs on which these quantifiers attain their maximal value are pairs of orthogonal, and in this sense classical, states. |
| title | Classical pair of states as optimal pair for quantum distinguishability quantifiers |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2506.02575 |