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Phys. Rev. A 64, 022306 (2001) [4 pages]

Schmidt measure as a tool for quantifying multiparticle entanglement

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Jens Eisert1,2 and Hans J. Briegel3
1Institut für Physik, Universität Potsdam, 14469 Potsdam, Germany
2Blackett Laboratory, Imperial College of Science, Technology and Medicine, London, SW7 2BW, United Kingdom
3Sektion Physik, Ludwig-Maximilians-Universität München, 80333 München, Germany

Received 28 July 2000; published 9 July 2001

We present a measure of quantum entanglement which is capable of quantifying the degree of entanglement of a multipartite quantum system. This measure, which is based on a generalization of the Schmidt rank of a pure state, is defined on the full state space, and is shown to be an entanglement monotone, that is, it cannot increase under local quantum operations with classical communication and under mixing. For a large class of mixed states this measure of entanglement can be calculated exactly, and it provides a detailed classification of mixed states.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.64.022306
DOI:
10.1103/PhysRevA.64.022306
PACS:
03.67.-a, 03.65.Ta