Generalized concentratable entanglement via parallelized permutation tests
Multipartite entanglement is an essential resource for quantum information theory and technologies, but its quantification has been a persistent challenge. Concentratable entanglement (CE), introduced recently, can be estimated from just two copies of a quantum state. Here, we propose generalized co...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/jtlj-qs3y |
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| _version_ | 1850071790787756032 |
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| author | Xiaoyu Liu Johannes Knörzer Zherui Jerry Wang Jordi Tura |
| author_facet | Xiaoyu Liu Johannes Knörzer Zherui Jerry Wang Jordi Tura |
| author_sort | Xiaoyu Liu |
| collection | DOAJ |
| description | Multipartite entanglement is an essential resource for quantum information theory and technologies, but its quantification has been a persistent challenge. Concentratable entanglement (CE), introduced recently, can be estimated from just two copies of a quantum state. Here, we propose generalized concentratable entanglement (GCE), a broader class of multipartite entanglement measures naturally tied to quantum Tsallis entropies, and present a parallelized protocol for estimating GCE across multiple state copies. Increasing the number of copies yields an improved error bound in the presence of imperfections. We prove that GCE is a well-defined entanglement monotone and conjecture some new entropic inequalities. Moreover, we demonstrate the concentration of entanglement into W states using three-state copies. Our results contribute to more robust and versatile characterizations of multipartite entanglement. |
| format | Article |
| id | doaj-art-e82449756f8b49e6812389036a567a87 |
| institution | DOAJ |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-e82449756f8b49e6812389036a567a872025-08-20T02:47:13ZengAmerican Physical SocietyPhysical Review Research2643-15642025-07-0173L03202210.1103/jtlj-qs3yGeneralized concentratable entanglement via parallelized permutation testsXiaoyu LiuJohannes KnörzerZherui Jerry WangJordi TuraMultipartite entanglement is an essential resource for quantum information theory and technologies, but its quantification has been a persistent challenge. Concentratable entanglement (CE), introduced recently, can be estimated from just two copies of a quantum state. Here, we propose generalized concentratable entanglement (GCE), a broader class of multipartite entanglement measures naturally tied to quantum Tsallis entropies, and present a parallelized protocol for estimating GCE across multiple state copies. Increasing the number of copies yields an improved error bound in the presence of imperfections. We prove that GCE is a well-defined entanglement monotone and conjecture some new entropic inequalities. Moreover, we demonstrate the concentration of entanglement into W states using three-state copies. Our results contribute to more robust and versatile characterizations of multipartite entanglement.http://doi.org/10.1103/jtlj-qs3y |
| spellingShingle | Xiaoyu Liu Johannes Knörzer Zherui Jerry Wang Jordi Tura Generalized concentratable entanglement via parallelized permutation tests Physical Review Research |
| title | Generalized concentratable entanglement via parallelized permutation tests |
| title_full | Generalized concentratable entanglement via parallelized permutation tests |
| title_fullStr | Generalized concentratable entanglement via parallelized permutation tests |
| title_full_unstemmed | Generalized concentratable entanglement via parallelized permutation tests |
| title_short | Generalized concentratable entanglement via parallelized permutation tests |
| title_sort | generalized concentratable entanglement via parallelized permutation tests |
| url | http://doi.org/10.1103/jtlj-qs3y |
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