Entanglement formation in continuous-variable random quantum networks
Abstract Entanglement is not only important for understanding the fundamental properties of many-body systems, but also the crucial resource enabling quantum advantages in practical information processing tasks. Although previous works on quantum networks focus on discrete-variable systems, light—as...
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Nature Portfolio
2021
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oai:doaj.org-article:336b1b2b50e349cc846dbaf4296c50012021-12-02T12:11:13ZEntanglement formation in continuous-variable random quantum networks10.1038/s41534-021-00370-w2056-6387https://doaj.org/article/336b1b2b50e349cc846dbaf4296c50012021-02-01T00:00:00Zhttps://doi.org/10.1038/s41534-021-00370-whttps://doaj.org/toc/2056-6387Abstract Entanglement is not only important for understanding the fundamental properties of many-body systems, but also the crucial resource enabling quantum advantages in practical information processing tasks. Although previous works on quantum networks focus on discrete-variable systems, light—as the only traveling carrier of quantum information in a network—is bosonic and thus requires a continuous-variable description. We extend the study to continuous-variable quantum networks. By mapping the ensemble-averaged entanglement dynamics on an arbitrary network to a random-walk process on a graph, we are able to exactly solve the entanglement dynamics. We identify squeezing as the source of entanglement generation, which triggers a diffusive spread of entanglement with a "parabolic light cone”. A surprising linear superposition law in the entanglement growth is predicted by the theory and numerically verified, despite the nonlinear nature of the entanglement dynamics. The equilibrium entanglement distribution (Page curves) is exactly solved and has various shapes depending on the average squeezing density and strength.Bingzhi ZhangQuntao ZhuangNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-12 (2021) |
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Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 |
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Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 Bingzhi Zhang Quntao Zhuang Entanglement formation in continuous-variable random quantum networks |
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Abstract Entanglement is not only important for understanding the fundamental properties of many-body systems, but also the crucial resource enabling quantum advantages in practical information processing tasks. Although previous works on quantum networks focus on discrete-variable systems, light—as the only traveling carrier of quantum information in a network—is bosonic and thus requires a continuous-variable description. We extend the study to continuous-variable quantum networks. By mapping the ensemble-averaged entanglement dynamics on an arbitrary network to a random-walk process on a graph, we are able to exactly solve the entanglement dynamics. We identify squeezing as the source of entanglement generation, which triggers a diffusive spread of entanglement with a "parabolic light cone”. A surprising linear superposition law in the entanglement growth is predicted by the theory and numerically verified, despite the nonlinear nature of the entanglement dynamics. The equilibrium entanglement distribution (Page curves) is exactly solved and has various shapes depending on the average squeezing density and strength. |
format |
article |
author |
Bingzhi Zhang Quntao Zhuang |
author_facet |
Bingzhi Zhang Quntao Zhuang |
author_sort |
Bingzhi Zhang |
title |
Entanglement formation in continuous-variable random quantum networks |
title_short |
Entanglement formation in continuous-variable random quantum networks |
title_full |
Entanglement formation in continuous-variable random quantum networks |
title_fullStr |
Entanglement formation in continuous-variable random quantum networks |
title_full_unstemmed |
Entanglement formation in continuous-variable random quantum networks |
title_sort |
entanglement formation in continuous-variable random quantum networks |
publisher |
Nature Portfolio |
publishDate |
2021 |
url |
https://doaj.org/article/336b1b2b50e349cc846dbaf4296c5001 |
work_keys_str_mv |
AT bingzhizhang entanglementformationincontinuousvariablerandomquantumnetworks AT quntaozhuang entanglementformationincontinuousvariablerandomquantumnetworks |
_version_ |
1718394620391456768 |