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Quantifying multipartite entanglement
Centre for Quantum Computation, DAMTP, University of Cambridge, Cambridge CB3 0WA, UK .
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2004 (English)In: Quantum communication, meaurement and computing   / [ed] S.M. Barnett; E. Andersson; J. Jeffers; P. Öhberg; O. Hirota, 2004, 241-244 p.Conference paper (Refereed)
Abstract [en]

A natural way of quantifying the degree of entanglement for a pure quantum state is to compare how far this state is from the set of all unentangled pure states. This geometric measure of entanglement is explored for bipartite and multipartite pure and mixed states. It is determined analytically for arbitrary two-qubit mixed states and for generalized Werner and isotropic states. It is also applied to certain multipartite mixed states. including two multipartite bound entangeled states discovered by Smolin and Dur. Moreover, the geometric measure of entanglement is applied to the ground state of the Ising model in a transverse magnetic field. From this model the entanglement is shown to exhibit singular behavior at the quantum critical point.

Place, publisher, year, edition, pages
2004. 241-244 p.
, AIP Conference Proceedings, 734
National Category
Natural Sciences
URN: urn:nbn:se:uu:diva-151747DOI: 10.1063/1.1834425ISBN: 0-7354-0216-7OAI: oai:DiVA.org:uu-151747DiVA: diva2:411218
7th International Conference on Quantum Communication, Measurement and Computing
Glasgow, United Kingdom, 25-29 July 2004Available from: 2011-04-17 Created: 2011-04-17 Last updated: 2012-05-30Bibliographically approved

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Ericsson, Marie
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