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Entanglement properties of quantum grid states

Lockhart, J; Guehne, O; Severini, S; (2018) Entanglement properties of quantum grid states. Physical Review A , 97 (6) , Article 062340. 10.1103/PhysRevA.97.062340. Green open access

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Abstract

Grid states form a discrete set of mixed quantum states that can be described by graphs. We characterize the entanglement properties of these states and provide methods to evaluate entanglement criteria for grid states in a graphical way. With these ideas we find bound entangled grid states for two-particle systems of any dimension and multiparticle grid states that provide examples for the different aspects of genuine multiparticle entanglement. Our findings suggest that entanglement theory for grid states, although being a discrete set, has already a complexity similar to that for general states.

Type: Article
Title: Entanglement properties of quantum grid states
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevA.97.062340
Publisher version: http://dx.doi.org/10.1103/PhysRevA.97.062340
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Physical Sciences, Optics, Physics, Atomic, Molecular & Chemical, Physics, Density-Matrices, Mixed States, Separability, Optimization, Laplacian, Criterion
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: http://discovery.ucl.ac.uk/id/eprint/1562091
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