Simple class of bound entangled states based on the properties of the antisymmetric subspace

Enrico Sindici; Marco Piani

doi:10.1103/PhysRevA.97.032319

Simple class of bound entangled states based on the properties of the antisymmetric subspace

Enrico Sindici, Marco Piani

Physics

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

9 Citations (Scopus)

137 Downloads (Pure)

Abstract

We provide a simple construction of bipartite entangled states that are positive under partial transposition, and hence undistillable. The construction makes use of the properties of the projectors onto the symmetric and antisymmetric subspaces of the Hilbert space of two identical systems. The resulting states can be considered as generalizations of the celebrated Werner states.

Original language	English
Article number	032319
Number of pages	5
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	97
Early online date	16 Mar 2018
DOIs	https://doi.org/10.1103/PhysRevA.97.032319
Publication status	E-pub ahead of print - 16 Mar 2018

Keywords

quantum information processing
entanglement
bipartite entanglement

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10.1103/PhysRevA.97.032319

Sindici-Piani-PRA-2018-Simple-class-of-bound-entangled-states-based-on-the-properties-of-the-antisymmetricAccepted author manuscript, 239 KB

Cite this

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abstract = "We provide a simple construction of bipartite entangled states that are positive under partial transposition, and hence undistillable. The construction makes use of the properties of the projectors onto the symmetric and antisymmetric subspaces of the Hilbert space of two identical systems. The resulting states can be considered as generalizations of the celebrated Werner states.",

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N2 - We provide a simple construction of bipartite entangled states that are positive under partial transposition, and hence undistillable. The construction makes use of the properties of the projectors onto the symmetric and antisymmetric subspaces of the Hilbert space of two identical systems. The resulting states can be considered as generalizations of the celebrated Werner states.

AB - We provide a simple construction of bipartite entangled states that are positive under partial transposition, and hence undistillable. The construction makes use of the properties of the projectors onto the symmetric and antisymmetric subspaces of the Hilbert space of two identical systems. The resulting states can be considered as generalizations of the celebrated Werner states.

KW - quantum information processing

KW - entanglement

KW - bipartite entanglement

UR - https://journals.aps.org/pra/abstract/10.1103/PhysRevA.97.032319

UR - https://arxiv.org/abs/1708.06595

U2 - 10.1103/PhysRevA.97.032319

DO - 10.1103/PhysRevA.97.032319

M3 - Article

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JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

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ER -

Simple class of bound entangled states based on the properties of the antisymmetric subspace

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OPERACQC: Operational Characterization of Quantum Correlations

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Simple class of bound entangled states based on the properties of the antisymmetric subspace

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Keywords

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OPERACQC: Operational Characterization of Quantum Correlations

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