One-shot coherence distillation
We characterize the distillation of quantum coherence in the one-shot setting, that is, the conversion of general quantum states into maximally coherent states under different classes of quantum operations. We show that the maximally incoherent operations (MIO) and the dephasing-covariant incoherent...
| Main Authors: | , , , |
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| Format: | Article |
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American Physical Society
2018
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| Online Access: | https://eprints.nottingham.ac.uk/52808/ |
| _version_ | 1848798815011733504 |
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| author | Regula, Bartosz Fang, Kun Wang, Xin Adesso, Gerardo |
| author_facet | Regula, Bartosz Fang, Kun Wang, Xin Adesso, Gerardo |
| author_sort | Regula, Bartosz |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We characterize the distillation of quantum coherence in the one-shot setting, that is, the conversion of general quantum states into maximally coherent states under different classes of quantum operations. We show that the maximally incoherent operations (MIO) and the dephasing-covariant incoherent operations (DIO) have the same power in the task of one-shot coherence distillation. We establish that the one-shot distillable coherence under MIO and DIO is efficiently computable with a semidefinite program, which we show to correspond to a quantum hypothesis testing problem. Further, we introduce a family of coherence monotones generalizing the robustness of coherence as well as the modified trace distance of coherence, and show that they admit an operational interpretation in characterizing the fidelity of distillation under different classes of operations. By providing an explicit formula for these quantities for pure states, we show that the one-shot distillable coherence under MIO, DIO, strictly incoherent operations, and incoherent operations is equal for all pure states. |
| first_indexed | 2025-11-14T20:25:46Z |
| format | Article |
| id | nottingham-52808 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:25:46Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-528082020-05-04T19:45:31Z https://eprints.nottingham.ac.uk/52808/ One-shot coherence distillation Regula, Bartosz Fang, Kun Wang, Xin Adesso, Gerardo We characterize the distillation of quantum coherence in the one-shot setting, that is, the conversion of general quantum states into maximally coherent states under different classes of quantum operations. We show that the maximally incoherent operations (MIO) and the dephasing-covariant incoherent operations (DIO) have the same power in the task of one-shot coherence distillation. We establish that the one-shot distillable coherence under MIO and DIO is efficiently computable with a semidefinite program, which we show to correspond to a quantum hypothesis testing problem. Further, we introduce a family of coherence monotones generalizing the robustness of coherence as well as the modified trace distance of coherence, and show that they admit an operational interpretation in characterizing the fidelity of distillation under different classes of operations. By providing an explicit formula for these quantities for pure states, we show that the one-shot distillable coherence under MIO, DIO, strictly incoherent operations, and incoherent operations is equal for all pure states. American Physical Society 2018-07-06 Article PeerReviewed Regula, Bartosz, Fang, Kun, Wang, Xin and Adesso, Gerardo (2018) One-shot coherence distillation. Physical Review Letters, 121 (1). 010401. ISSN 0031-9007 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.010401#fulltext doi:10.1103/PhysRevLett.121.010401 doi:10.1103/PhysRevLett.121.010401 |
| spellingShingle | Regula, Bartosz Fang, Kun Wang, Xin Adesso, Gerardo One-shot coherence distillation |
| title | One-shot coherence distillation |
| title_full | One-shot coherence distillation |
| title_fullStr | One-shot coherence distillation |
| title_full_unstemmed | One-shot coherence distillation |
| title_short | One-shot coherence distillation |
| title_sort | one-shot coherence distillation |
| url | https://eprints.nottingham.ac.uk/52808/ https://eprints.nottingham.ac.uk/52808/ https://eprints.nottingham.ac.uk/52808/ |