Supremum of block entanglement for symmetric Gaussian states

Jhih Yuan Kao; Chung Hsien Chou

doi:10.1038/s41598-018-25781-2

Supremum of block entanglement for symmetric Gaussian states

Jhih Yuan Kao
, Chung Hsien Chou

Department of Physics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	7394
Journal	Scientific reports
Volume	8
Issue number	1
DOIs	https://doi.org/10.1038/s41598-018-25781-2
Publication status	Published - 2018 Dec 1

All Science Journal Classification (ASJC) codes

General

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10.1038/s41598-018-25781-2

Cite this

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title = "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 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.",

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N2 - 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.

AB - 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.

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Supremum of block entanglement for symmetric Gaussian states

Abstract

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