Concentrating tripartite quantum information
We introduce the concentrated information of tripartite quantum states. For three parties Alice, Bob, and Charlie, it is defined as the maximal mutual information achievable between Alice and Charlie via local operations and classical communication performed by Charlie and Bob. We derive upper and l...
| 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/40772/ |
| _version_ | 1848796130124496896 |
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| author | Streltsov, Alexander Lee, Soojoon Adesso, Gerardo |
| author_facet | Streltsov, Alexander Lee, Soojoon Adesso, Gerardo |
| author_sort | Streltsov, Alexander |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We introduce the concentrated information of tripartite quantum states. For three parties Alice, Bob, and Charlie, it is defined as the maximal mutual information achievable between Alice and Charlie via local operations and classical communication performed by Charlie and Bob. We derive upper and lower bounds to the concentrated information, and obtain a closed expression for it on several classes of states including arbitrary pure tripartite states in the asymptotic setting. We show that distillable entanglement, entanglement of assistance, and quantum discord can all be expressed in terms of the concentrated information, thus revealing its role as a unifying informational primitive. We finally investigate quantum state merging of mixed states with and without additional entanglement. The gap between classical and quantum concentrated information is proven to be an operational figure of merit for mixed state merging in absence of additional entanglement. Contrary to pure state merging, our analysis shows that classical communication in both directions can provide advantage for merging of mixed states. |
| first_indexed | 2025-11-14T19:43:05Z |
| format | Article |
| id | nottingham-40772 |
| 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-407722020-05-04T17:12:49Z https://eprints.nottingham.ac.uk/40772/ Concentrating tripartite quantum information Streltsov, Alexander Lee, Soojoon Adesso, Gerardo We introduce the concentrated information of tripartite quantum states. For three parties Alice, Bob, and Charlie, it is defined as the maximal mutual information achievable between Alice and Charlie via local operations and classical communication performed by Charlie and Bob. We derive upper and lower bounds to the concentrated information, and obtain a closed expression for it on several classes of states including arbitrary pure tripartite states in the asymptotic setting. We show that distillable entanglement, entanglement of assistance, and quantum discord can all be expressed in terms of the concentrated information, thus revealing its role as a unifying informational primitive. We finally investigate quantum state merging of mixed states with and without additional entanglement. The gap between classical and quantum concentrated information is proven to be an operational figure of merit for mixed state merging in absence of additional entanglement. Contrary to pure state merging, our analysis shows that classical communication in both directions can provide advantage for merging of mixed states. American Physical Society 2015-07-17 Article PeerReviewed Streltsov, Alexander, Lee, Soojoon and Adesso, Gerardo (2015) Concentrating tripartite quantum information. Physical Review Letters, 115 . 030505/1-030505/5. ISSN 1079-7114 http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.030505 doi:10.1103/PhysRevLett.115.030505 doi:10.1103/PhysRevLett.115.030505 |
| spellingShingle | Streltsov, Alexander Lee, Soojoon Adesso, Gerardo Concentrating tripartite quantum information |
| title | Concentrating tripartite quantum information |
| title_full | Concentrating tripartite quantum information |
| title_fullStr | Concentrating tripartite quantum information |
| title_full_unstemmed | Concentrating tripartite quantum information |
| title_short | Concentrating tripartite quantum information |
| title_sort | concentrating tripartite quantum information |
| url | https://eprints.nottingham.ac.uk/40772/ https://eprints.nottingham.ac.uk/40772/ https://eprints.nottingham.ac.uk/40772/ |