Benchmarking one-shot distillation in general quantum resource theories
We study the one-shot distillation of general quantum resources, providing a unified quantitative description of the maximal fidelity achievable in this task, and revealing similarities shared by broad classes of resources. We establish fundamental quantitative and qualitative limitations on resourc...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2020
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| Online Access: | https://hdl.handle.net/10356/145492 |
| _version_ | 1811697019730788352 |
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| author | Regula, Bartosz Bu, Kaifeng Takagi, Ryuji Liu, Zi-Wen |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Regula, Bartosz Bu, Kaifeng Takagi, Ryuji Liu, Zi-Wen |
| author_sort | Regula, Bartosz |
| collection | NTU |
| description | We study the one-shot distillation of general quantum resources, providing a unified quantitative description of the maximal fidelity achievable in this task, and revealing similarities shared by broad classes of resources. We establish fundamental quantitative and qualitative limitations on resource distillation applicable to all convex resource theories. We show that every convex quantum resource theory admits a meaningful notion of a pure maximally resourceful state, which maximizes several monotones of operational relevance and finds use in distillation. We endow the generalized robustness measure with an operational meaning as an exact quantifier of performance in distilling such maximal states in many classes of resources, including bi- and multipartite entanglement, multilevel coherence, as well as the whole family of affine resource theories, which encompasses important examples such as asymmetry, coherence, and thermodynamics. |
| first_indexed | 2024-10-01T07:48:36Z |
| format | Journal Article |
| id | ntu-10356/145492 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:48:36Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-10356/1454922023-02-28T19:27:18Z Benchmarking one-shot distillation in general quantum resource theories Regula, Bartosz Bu, Kaifeng Takagi, Ryuji Liu, Zi-Wen School of Physical and Mathematical Sciences Science::Physics Distillation Thermodynamics We study the one-shot distillation of general quantum resources, providing a unified quantitative description of the maximal fidelity achievable in this task, and revealing similarities shared by broad classes of resources. We establish fundamental quantitative and qualitative limitations on resource distillation applicable to all convex resource theories. We show that every convex quantum resource theory admits a meaningful notion of a pure maximally resourceful state, which maximizes several monotones of operational relevance and finds use in distillation. We endow the generalized robustness measure with an operational meaning as an exact quantifier of performance in distilling such maximal states in many classes of resources, including bi- and multipartite entanglement, multilevel coherence, as well as the whole family of affine resource theories, which encompasses important examples such as asymmetry, coherence, and thermodynamics. Nanyang Technological University National Research Foundation (NRF) Published version B.R. acknowledges the support of Nanyang Technological University as well as the National Research Foundation of Singapore Fellowship No. NRF-NRFF2016-02. K.B. acknowledges the support of the Templeton Religion Trust Grant TRT 0159 and ARO Grant W911NF1910302. R.T. acknowledges the support of NSF, ARO, IARPA, and the Takenaka Scholarship Foundation. Z.-W.L. acknowledges the support of Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation. 2020-12-23T01:50:31Z 2020-12-23T01:50:31Z 2020 Journal Article Regula, B., Bu, K., Takagi, R.,& Liu, Z.-W. (2020). Benchmarking one-shot distillation in general quantum resource theories. Physical Review A, 101(6), 062315-. doi:10.1103/PhysRevA.101.062315 2469-9926 https://hdl.handle.net/10356/145492 10.1103/PhysRevA.101.062315 6 101 en NRF-NRFF2016-02 Physical Review A © 2020 American Physical Society. All rights reserved. This paper was published in Physical Review A and is made available with permission of American Physical Society. application/pdf |
| spellingShingle | Science::Physics Distillation Thermodynamics Regula, Bartosz Bu, Kaifeng Takagi, Ryuji Liu, Zi-Wen Benchmarking one-shot distillation in general quantum resource theories |
| title | Benchmarking one-shot distillation in general quantum resource theories |
| title_full | Benchmarking one-shot distillation in general quantum resource theories |
| title_fullStr | Benchmarking one-shot distillation in general quantum resource theories |
| title_full_unstemmed | Benchmarking one-shot distillation in general quantum resource theories |
| title_short | Benchmarking one-shot distillation in general quantum resource theories |
| title_sort | benchmarking one shot distillation in general quantum resource theories |
| topic | Science::Physics Distillation Thermodynamics |
| url | https://hdl.handle.net/10356/145492 |
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