Quantum state merging with bound entanglement
Quantum state merging is one of the most important protocols in quantum information theory. In this task two parties aim to merge their parts of a pure tripartite state by making use of additional singlets while preserving correlations with a third party. We study a variation of this scenario where...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2020-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ab70d7 |
| _version_ | 1797750362131660800 |
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| author | Alexander Streltsov |
| author_facet | Alexander Streltsov |
| author_sort | Alexander Streltsov |
| collection | DOAJ |
| description | Quantum state merging is one of the most important protocols in quantum information theory. In this task two parties aim to merge their parts of a pure tripartite state by making use of additional singlets while preserving correlations with a third party. We study a variation of this scenario where the shared state is not necessarily pure, and the merging parties have free access to local operations, classical communication, and positive partial transpose (PPT) entangled states. We provide general conditions for a state to admit perfect merging, and present a family of fully separable states which cannot be perfectly merged if the merging parties have no access to additional singlets. We also show that free PPT entangled states do not give any advantage for merging of pure states, and the conditional entropy plays the same role as in standard quantum state merging quantifying the rate of additional singlets needed to perfectly merge the state. |
| first_indexed | 2024-03-12T16:31:42Z |
| format | Article |
| id | doaj.art-9c24249d27a343cab20f61ec8bba862c |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:31:42Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-9c24249d27a343cab20f61ec8bba862c2023-08-08T15:28:35ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122202303210.1088/1367-2630/ab70d7Quantum state merging with bound entanglementAlexander Streltsov0https://orcid.org/0000-0002-7742-5731Centre for Quantum Optical Technologies, Centre of New Technologies, University of Warsaw , Banacha 2c, 02-097 Warsaw, PolandQuantum state merging is one of the most important protocols in quantum information theory. In this task two parties aim to merge their parts of a pure tripartite state by making use of additional singlets while preserving correlations with a third party. We study a variation of this scenario where the shared state is not necessarily pure, and the merging parties have free access to local operations, classical communication, and positive partial transpose (PPT) entangled states. We provide general conditions for a state to admit perfect merging, and present a family of fully separable states which cannot be perfectly merged if the merging parties have no access to additional singlets. We also show that free PPT entangled states do not give any advantage for merging of pure states, and the conditional entropy plays the same role as in standard quantum state merging quantifying the rate of additional singlets needed to perfectly merge the state.https://doi.org/10.1088/1367-2630/ab70d7quantum entanglementquantum communicationquantum state merging |
| spellingShingle | Alexander Streltsov Quantum state merging with bound entanglement New Journal of Physics quantum entanglement quantum communication quantum state merging |
| title | Quantum state merging with bound entanglement |
| title_full | Quantum state merging with bound entanglement |
| title_fullStr | Quantum state merging with bound entanglement |
| title_full_unstemmed | Quantum state merging with bound entanglement |
| title_short | Quantum state merging with bound entanglement |
| title_sort | quantum state merging with bound entanglement |
| topic | quantum entanglement quantum communication quantum state merging |
| url | https://doi.org/10.1088/1367-2630/ab70d7 |
| work_keys_str_mv | AT alexanderstreltsov quantumstatemergingwithboundentanglement |