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Phys. Rev. A 70, 022322 (2004) [5 pages]

Measures of entanglement in multipartite bound entangled states

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Tzu-Chieh Wei1, Joseph B. Altepeter1, Paul M. Goldbart1, and William J. Munro2
1Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA
2Hewlett-Packard Laboratories, Filton Road, Stoke Gifford, Bristol, BS34 SQ2, United Kingdom

Received 13 September 2003; published 27 August 2004

Bound entangled states are states that are entangled but from which no entanglement can be distilled if all parties are allowed only local operations and classical communication. However, in creating these states one needs nonzero entanglement resources to start with. Here, the entanglement of two distinct multipartite bound entangled states is determined analytically in terms of a geometric measure of entanglement and a related quantity. The results are compared with those for the negativity and the relative entropy of entanglement.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.70.022322
DOI:
10.1103/PhysRevA.70.022322
PACS:
03.67.Mn, 03.65.Ud