Supremum of block entanglement for symmetric Gaussian states
Abstract For a system composed of permutationally symmetric Gaussian modes, by identifying the boundary of valid states and making necessary change of variables, the existence and exact value of the supremum of logarithmic negativity (and negativity likewise) between any two blocks can be shown anal...
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oai:doaj.org-article:6e2c849a521e450983012ac770da192f2021-12-02T16:08:26ZSupremum of block entanglement for symmetric Gaussian states10.1038/s41598-018-25781-22045-2322https://doaj.org/article/6e2c849a521e450983012ac770da192f2018-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-25781-2https://doaj.org/toc/2045-2322Abstract For a system composed of permutationally symmetric Gaussian modes, by identifying the boundary of valid states and making necessary change of variables, the existence and exact value of the supremum of logarithmic negativity (and negativity likewise) between any two blocks can be shown analytically. Involving only the total number of interchangeable modes and the sizes of respective blocks, this result is general and easy to be applied for such a class of states.Jhih-Yuan KaoChung-Hsien ChouNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-10 (2018) |
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Medicine R Science Q Jhih-Yuan Kao Chung-Hsien Chou Supremum of block entanglement for symmetric Gaussian states |
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Abstract For a system composed of permutationally symmetric Gaussian modes, by identifying the boundary of valid states and making necessary change of variables, the existence and exact value of the supremum of logarithmic negativity (and negativity likewise) between any two blocks can be shown analytically. Involving only the total number of interchangeable modes and the sizes of respective blocks, this result is general and easy to be applied for such a class of states. |
format |
article |
author |
Jhih-Yuan Kao Chung-Hsien Chou |
author_facet |
Jhih-Yuan Kao Chung-Hsien Chou |
author_sort |
Jhih-Yuan Kao |
title |
Supremum of block entanglement for symmetric Gaussian states |
title_short |
Supremum of block entanglement for symmetric Gaussian states |
title_full |
Supremum of block entanglement for symmetric Gaussian states |
title_fullStr |
Supremum of block entanglement for symmetric Gaussian states |
title_full_unstemmed |
Supremum of block entanglement for symmetric Gaussian states |
title_sort |
supremum of block entanglement for symmetric gaussian states |
publisher |
Nature Portfolio |
publishDate |
2018 |
url |
https://doaj.org/article/6e2c849a521e450983012ac770da192f |
work_keys_str_mv |
AT jhihyuankao supremumofblockentanglementforsymmetricgaussianstates AT chunghsienchou supremumofblockentanglementforsymmetricgaussianstates |
_version_ |
1718384475746861056 |