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Estimating entanglement monotones with a generalization of the Wootters formula.

Chen, ZH; Ma, ZH; Gühne, O; Severini, S; (2012) Estimating entanglement monotones with a generalization of the Wootters formula. Phys Rev Lett , 109 (20) , Article 200503. 10.1103/PhysRevLett.109.200503. Green open access

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Abstract

Entanglement monotones, such as the concurrence, are useful tools to characterize quantum correlations in various physical systems. The computation of the concurrence involves, however, difficult optimizations and only for the simplest case of two qubits a closed formula was found by Wootters [Phys. Rev. Lett. 80, 2245 (1998)]. We show how this approach can be generalized, resulting in lower bounds on the concurrence for higher dimensional systems as well as for multipartite systems. We demonstrate that for certain families of states our results constitute the strongest bipartite entanglement criterion so far; moreover, they allow us to recognize novel families of multiparticle bound entangled states.

Type: Article
Title: Estimating entanglement monotones with a generalization of the Wootters formula.
Location: United States
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevLett.109.200503
Publisher version: http://dx.doi.org/10.1103/PhysRevLett.109.200503
Language: English
Additional information: © 2012 American Physical Society
UCL classification: UCL
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: https://discovery.ucl.ac.uk/id/eprint/1395255
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