Measuring quantum coherence with entanglement
Quantum coherence is an essential ingredient in quantum information processing and plays a central role in emergent fields such as nanoscale thermodynamics and quantum biology. However, our understanding and quantitative characterization of coherence as an operational resource are still very limited...
| Main Authors: | , , , , |
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| Format: | Article |
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American Physical Society
2015
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| Online Access: | https://eprints.nottingham.ac.uk/40774/ |
| _version_ | 1848796130389786624 |
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| author | Streltsov, Alexander Singh, Uttam Dhar, Himadri Shekhar Bera, Manabendra Nath Adesso, Gerardo |
| author_facet | Streltsov, Alexander Singh, Uttam Dhar, Himadri Shekhar Bera, Manabendra Nath Adesso, Gerardo |
| author_sort | Streltsov, Alexander |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Quantum coherence is an essential ingredient in quantum information processing and plays a central role in emergent fields such as nanoscale thermodynamics and quantum biology. However, our understanding and quantitative characterization of coherence as an operational resource are still very limited. Here we show that any degree of coherence with respect to some reference basis can be converted to entanglement via incoherent operations. This finding allows us to define a novel general class of measures of coherence for a quantum system of arbitrary dimension, in terms of the maximum bipartite entanglement that can be generated via incoherent operations applied to the system and an incoherent ancilla. The resulting measures are proven to be valid coherence monotones satisfying all the requirements dictated by the resource theory of quantum coherence. We demonstrate the usefulness of our approach by proving that the fidelity-based geometric measure of coherence is a full convex coherence monotone, and deriving a closed formula for it on arbitrary single-qubit states. Our work provides a clear quantitative and operational connection between coherence and entanglement, two landmark manifestations of quantum theory and both key enablers for quantum technologies. |
| first_indexed | 2025-11-14T19:43:05Z |
| format | Article |
| id | nottingham-40774 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:43:05Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-407742020-05-04T17:13:33Z https://eprints.nottingham.ac.uk/40774/ Measuring quantum coherence with entanglement Streltsov, Alexander Singh, Uttam Dhar, Himadri Shekhar Bera, Manabendra Nath Adesso, Gerardo Quantum coherence is an essential ingredient in quantum information processing and plays a central role in emergent fields such as nanoscale thermodynamics and quantum biology. However, our understanding and quantitative characterization of coherence as an operational resource are still very limited. Here we show that any degree of coherence with respect to some reference basis can be converted to entanglement via incoherent operations. This finding allows us to define a novel general class of measures of coherence for a quantum system of arbitrary dimension, in terms of the maximum bipartite entanglement that can be generated via incoherent operations applied to the system and an incoherent ancilla. The resulting measures are proven to be valid coherence monotones satisfying all the requirements dictated by the resource theory of quantum coherence. We demonstrate the usefulness of our approach by proving that the fidelity-based geometric measure of coherence is a full convex coherence monotone, and deriving a closed formula for it on arbitrary single-qubit states. Our work provides a clear quantitative and operational connection between coherence and entanglement, two landmark manifestations of quantum theory and both key enablers for quantum technologies. American Physical Society 2015-07-08 Article PeerReviewed Streltsov, Alexander, Singh, Uttam, Dhar, Himadri Shekhar, Bera, Manabendra Nath and Adesso, Gerardo (2015) Measuring quantum coherence with entanglement. Physical Review Letters, 115 (2). 020403. ISSN 1079-7114 http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.020403 doi:10.1103/PhysRevLett.115.020403 doi:10.1103/PhysRevLett.115.020403 |
| spellingShingle | Streltsov, Alexander Singh, Uttam Dhar, Himadri Shekhar Bera, Manabendra Nath Adesso, Gerardo Measuring quantum coherence with entanglement |
| title | Measuring quantum coherence with entanglement |
| title_full | Measuring quantum coherence with entanglement |
| title_fullStr | Measuring quantum coherence with entanglement |
| title_full_unstemmed | Measuring quantum coherence with entanglement |
| title_short | Measuring quantum coherence with entanglement |
| title_sort | measuring quantum coherence with entanglement |
| url | https://eprints.nottingham.ac.uk/40774/ https://eprints.nottingham.ac.uk/40774/ https://eprints.nottingham.ac.uk/40774/ |