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Phys. Rev. A 75, 052324 (2007) [5 pages]

Compatibility conditions from multipartite entanglement measures

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Jian-Ming Cai, Zheng-Wei Zhou*, Shun Zhang, and Guang-Can Guo
Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences, Hefei, Anhui 230026, China

Received 12 December 2006; published 18 May 2007

We consider an arbitrary d1d2⊗⋯⊗dN composite quantum system and find necessary conditions for general m-party subsystem states to be the reduced states of a common N-party state. These conditions will lead to various monogamy inequalities for bipartite quantum entanglement and partial disorder in multipartite states. Our results are tightly connected with the measures of multipartite entanglement.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.75.052324
DOI:
10.1103/PhysRevA.75.052324
PACS:
03.67.Mn, 03.65.Ta, 03.65.Ud

*Electronic address: zwzhou@ustc.edu.cn