Entanglement of formation and monogamy of multi-party quantum entanglement
Abstract We provide a sufficient condition for the monogamy inequality of multi-party quantum entanglement of arbitrary dimensions in terms of entanglement of formation. Based on the classical–classical–quantum(ccq) states whose quantum parts are obtained from the two-party reduced density matrices...
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Nature Portfolio
2021
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oai:doaj.org-article:32d6dcdb8e424f57b1596406c74f0bce2021-12-02T13:57:49ZEntanglement of formation and monogamy of multi-party quantum entanglement10.1038/s41598-021-82052-32045-2322https://doaj.org/article/32d6dcdb8e424f57b1596406c74f0bce2021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-82052-3https://doaj.org/toc/2045-2322Abstract We provide a sufficient condition for the monogamy inequality of multi-party quantum entanglement of arbitrary dimensions in terms of entanglement of formation. Based on the classical–classical–quantum(ccq) states whose quantum parts are obtained from the two-party reduced density matrices of a three-party quantum state, we show the additivity of the mutual information of the ccq states guarantees the monogamy inequality of the three-party pure state in terms of EoF. After illustrating the result with some examples, we generalize our result of three-party systems into any multi-party systems of arbitrary dimensions.Jeong San KimNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021) |
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DOAJ |
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Medicine R Science Q |
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Medicine R Science Q Jeong San Kim Entanglement of formation and monogamy of multi-party quantum entanglement |
| description |
Abstract We provide a sufficient condition for the monogamy inequality of multi-party quantum entanglement of arbitrary dimensions in terms of entanglement of formation. Based on the classical–classical–quantum(ccq) states whose quantum parts are obtained from the two-party reduced density matrices of a three-party quantum state, we show the additivity of the mutual information of the ccq states guarantees the monogamy inequality of the three-party pure state in terms of EoF. After illustrating the result with some examples, we generalize our result of three-party systems into any multi-party systems of arbitrary dimensions. |
| format |
article |
| author |
Jeong San Kim |
| author_facet |
Jeong San Kim |
| author_sort |
Jeong San Kim |
| title |
Entanglement of formation and monogamy of multi-party quantum entanglement |
| title_short |
Entanglement of formation and monogamy of multi-party quantum entanglement |
| title_full |
Entanglement of formation and monogamy of multi-party quantum entanglement |
| title_fullStr |
Entanglement of formation and monogamy of multi-party quantum entanglement |
| title_full_unstemmed |
Entanglement of formation and monogamy of multi-party quantum entanglement |
| title_sort |
entanglement of formation and monogamy of multi-party quantum entanglement |
| publisher |
Nature Portfolio |
| publishDate |
2021 |
| url |
https://doaj.org/article/32d6dcdb8e424f57b1596406c74f0bce |
| work_keys_str_mv |
AT jeongsankim entanglementofformationandmonogamyofmultipartyquantumentanglement |
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1718392252548513792 |