Distillability via protocols respecting the positivity of partial transpose

Tilo Eggeling; Karl Gerd H. Vollbrecht; Reinhard F. Werner; Michael M. Wolf

doi:10.1103/PhysRevLett.87.257902

Distillability via protocols respecting the positivity of partial transpose

Tilo Eggeling, Karl Gerd H. Vollbrecht, Reinhard F. Werner, Michael M. Wolf

Technische Universität Braunschweig

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

17 Scopus citations

Abstract

We show that all quantum states that do not have a positive partial transpose are distillable via channels, which preserve the positivity of the partial transpose. The question whether bound entangled states with nonpositive partial transpose exist is therefore closely related to the connection between the set of separable superoperators and positive partial transpose-preserving maps.

Original language	English
Pages (from-to)	257902-1-257902-3
Journal	Physical Review Letters
Volume	87
Issue number	25
DOIs	https://doi.org/10.1103/PhysRevLett.87.257902
State	Published - 17 Dec 2001
Externally published	Yes

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10.1103/PhysRevLett.87.257902

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title = "Distillability via protocols respecting the positivity of partial transpose",

abstract = "We show that all quantum states that do not have a positive partial transpose are distillable via channels, which preserve the positivity of the partial transpose. The question whether bound entangled states with nonpositive partial transpose exist is therefore closely related to the connection between the set of separable superoperators and positive partial transpose-preserving maps.",

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AU - Werner, Reinhard F.

AU - Wolf, Michael M.

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AB - We show that all quantum states that do not have a positive partial transpose are distillable via channels, which preserve the positivity of the partial transpose. The question whether bound entangled states with nonpositive partial transpose exist is therefore closely related to the connection between the set of separable superoperators and positive partial transpose-preserving maps.

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DO - 10.1103/PhysRevLett.87.257902

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Distillability via protocols respecting the positivity of partial transpose

Abstract

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