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Phys. Rev. A 63, 012308 (2000) [7 pages]

Multipartite pure-state entanglement and the generalized Greenberger-Horne-Zeilinger states

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Shengjun Wu
Department of Modern Physics, University of Science and Technology of China, Hefei 230027, People’s Republic of China
Department of Physics and Astronomy, University of South Carolina, Columbia, South Carolina 29208

Yongde Zhang*
CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, People’s Republic of China
Department of Modern Physics, University of Science and Technology of China, Hefei 230027, People’s Republic of China

Received 18 April 2000; published 12 December 2000

We show that not all four-party pure states are Greenberger-Horne-Zeilinger (GHZ) reducible (i.e., can be generated reversibly from a combination of two-, three-, and four-party maximally entangled states by local quantum operations and classical communication asymptotically). We also present some properties of the relative entropy of entanglement for those three-party pure states that are GHZ reducible, and then we relate these properties to the additivity of the relative entropy of entanglement.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.63.012308
DOI:
10.1103/PhysRevA.63.012308
PACS:
03.67.-a, 03.65.Ta

*Email: ydzhang@ustc.edu.cn

 
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