Operational advantage of quantum resources in subchannel discrimination
One of the central problems in the study of quantum resource theories is to provide a given resource with an operational meaning, characterizing physical tasks in which the resource can give an explicit advantage over all resourceless states. We show that this can always be accomplished for all conv...
| Main Authors: | , , , , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2019
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/105416 http://hdl.handle.net/10220/48673 |
| _version_ | 1826123508951810048 |
|---|---|
| author | Takagi, Ryuji Regula, Bartosz Bu, Kaifeng Liu, Zi-Wen Adesso, Gerardo |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Takagi, Ryuji Regula, Bartosz Bu, Kaifeng Liu, Zi-Wen Adesso, Gerardo |
| author_sort | Takagi, Ryuji |
| collection | NTU |
| description | One of the central problems in the study of quantum resource theories is to provide a given resource with an operational meaning, characterizing physical tasks in which the resource can give an explicit advantage over all resourceless states. We show that this can always be accomplished for all convex resource theories. We establish in particular that any resource state enables an advantage in a channel discrimination task, allowing for a strictly greater success probability than any state without the given resource. Furthermore, we find that the generalized robustness measure serves as an exact quantifier for the maximal advantage enabled by the given resource state in a class of subchannel discrimination problems, providing a universal operational interpretation to this fundamental resource quantifier. We also consider a wider range of subchannel discrimination tasks and show that the generalized robustness still serves as the operational advantage quantifier for several well-known theories such as entanglement, coherence, and magic. |
| first_indexed | 2024-10-01T06:05:49Z |
| format | Journal Article |
| id | ntu-10356/105416 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:05:49Z |
| publishDate | 2019 |
| record_format | dspace |
| spelling | ntu-10356/1054162023-02-28T19:24:37Z Operational advantage of quantum resources in subchannel discrimination Takagi, Ryuji Regula, Bartosz Bu, Kaifeng Liu, Zi-Wen Adesso, Gerardo School of Physical and Mathematical Sciences Complexity Institute Quantum Measurements Quantum Channels DRNTU::Science::Physics One of the central problems in the study of quantum resource theories is to provide a given resource with an operational meaning, characterizing physical tasks in which the resource can give an explicit advantage over all resourceless states. We show that this can always be accomplished for all convex resource theories. We establish in particular that any resource state enables an advantage in a channel discrimination task, allowing for a strictly greater success probability than any state without the given resource. Furthermore, we find that the generalized robustness measure serves as an exact quantifier for the maximal advantage enabled by the given resource state in a class of subchannel discrimination problems, providing a universal operational interpretation to this fundamental resource quantifier. We also consider a wider range of subchannel discrimination tasks and show that the generalized robustness still serves as the operational advantage quantifier for several well-known theories such as entanglement, coherence, and magic. Published version 2019-06-12T05:57:17Z 2019-12-06T21:50:48Z 2019-06-12T05:57:17Z 2019-12-06T21:50:48Z 2019 Journal Article Takagi, R., Regula, B., Bu, K., Liu, Z.-W., & Adesso, G. (2019). Operational advantage of quantum resources in subchannel discrimination. Physical Review Letters, 122(14), 140402-. doi:10.1103/PhysRevLett.122.140402 0031-9007 https://hdl.handle.net/10356/105416 http://hdl.handle.net/10220/48673 10.1103/PhysRevLett.122.140402 en Physical Review Letters © 2019 American Physical Society. All rights reserved. This paper was published in Physical Review Letters and is made available with permission of American Physical Society. 7 p. application/pdf |
| spellingShingle | Quantum Measurements Quantum Channels DRNTU::Science::Physics Takagi, Ryuji Regula, Bartosz Bu, Kaifeng Liu, Zi-Wen Adesso, Gerardo Operational advantage of quantum resources in subchannel discrimination |
| title | Operational advantage of quantum resources in subchannel discrimination |
| title_full | Operational advantage of quantum resources in subchannel discrimination |
| title_fullStr | Operational advantage of quantum resources in subchannel discrimination |
| title_full_unstemmed | Operational advantage of quantum resources in subchannel discrimination |
| title_short | Operational advantage of quantum resources in subchannel discrimination |
| title_sort | operational advantage of quantum resources in subchannel discrimination |
| topic | Quantum Measurements Quantum Channels DRNTU::Science::Physics |
| url | https://hdl.handle.net/10356/105416 http://hdl.handle.net/10220/48673 |
| work_keys_str_mv | AT takagiryuji operationaladvantageofquantumresourcesinsubchanneldiscrimination AT regulabartosz operationaladvantageofquantumresourcesinsubchanneldiscrimination AT bukaifeng operationaladvantageofquantumresourcesinsubchanneldiscrimination AT liuziwen operationaladvantageofquantumresourcesinsubchanneldiscrimination AT adessogerardo operationaladvantageofquantumresourcesinsubchanneldiscrimination |