An explicit expression for the relative entropy of entanglement in all dimensions

Shmuel Friedland; Gilad Gour

doi:https://doi.org/10.1063/1.3591132

An explicit expression for the relative entropy of entanglement in all dimensions

Shmuel Friedland, Gilad Gour

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

Abstract

The relative entropy of entanglement is defined in terms of the relative entropy between an entangled state and its closest separable state (CSS). Given a multipartite-state on the boundary of the set of separable states, we find an explicit expression for all the entangled states for which this state is a CSS. Our formula holds for multipartite states in all dimensions. For the bipartite case of two qubits, our formula reduce to the one given by Miranowicz and Ishizaka [Phys. Rev. A78, 032310 (2008)].

Original language	English
Article number	052201
Journal	Journal of Mathematical Physics
Volume	52
Issue number	5
DOIs	https://doi.org/10.1063/1.3591132
State	Published - 2 May 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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https://doi.org/10.1063/1.3591132

Cite this

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title = "An explicit expression for the relative entropy of entanglement in all dimensions",

abstract = "The relative entropy of entanglement is defined in terms of the relative entropy between an entangled state and its closest separable state (CSS). Given a multipartite-state on the boundary of the set of separable states, we find an explicit expression for all the entangled states for which this state is a CSS. Our formula holds for multipartite states in all dimensions. For the bipartite case of two qubits, our formula reduce to the one given by Miranowicz and Ishizaka [Phys. Rev. A78, 032310 (2008)].",

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AU - Gour, Gilad

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N2 - The relative entropy of entanglement is defined in terms of the relative entropy between an entangled state and its closest separable state (CSS). Given a multipartite-state on the boundary of the set of separable states, we find an explicit expression for all the entangled states for which this state is a CSS. Our formula holds for multipartite states in all dimensions. For the bipartite case of two qubits, our formula reduce to the one given by Miranowicz and Ishizaka [Phys. Rev. A78, 032310 (2008)].

AB - The relative entropy of entanglement is defined in terms of the relative entropy between an entangled state and its closest separable state (CSS). Given a multipartite-state on the boundary of the set of separable states, we find an explicit expression for all the entangled states for which this state is a CSS. Our formula holds for multipartite states in all dimensions. For the bipartite case of two qubits, our formula reduce to the one given by Miranowicz and Ishizaka [Phys. Rev. A78, 032310 (2008)].

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 5

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ER -

An explicit expression for the relative entropy of entanglement in all dimensions

Abstract

All Science Journal Classification (ASJC) codes

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