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Monogamy equality in 2⊗2⊗d quantum systems
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- Authors
- Dong Pyo Chi, Jeong Woon Choi, Kab Gyun Jeong, Jeong San Kim, Tae Wan Kim, Soo Joon Lee
- Issue Date
- 2008-11
- Citation
- Journal of Mathematical Physics, v.49, no.11, pp.1-4
- ISSN
- 0022-2488
- Publisher
- American Institute of Physics(AIP)
- Language
- English
- Type
- Journal Article
- Abstract
- There is an interesting property about multipartite entanglement, called the monogamy of entanglement. The property can be shown by the monogamy inequality, called the Coffman-Kundu-Wootters inequality [Phys. Rev. A 61, 052306 (2000); Coffman-Kundu-WoottersPhys. Rev. Lett. 96, 220503 (2006)], and more explicitly by the monogamy equality in terms of the concurrence and the concurrence of assistance, C2A(BC) = C2AB + (CACa) 2, in the three-qubit system. In this paper, we consider the monogamy equality in 2?뒚2?뒚d quantum systems. We show that CA(BC) = CAB if and only if C ACa =0 and also show that if CA(BC) = C ACa, then CAB =0, while there exists a state in a 2?뒚2?뒚d system such that CAB =0 but CA(BC) > CAC3a. © 2008 American Institute of Physics.
- KSP Keywords
- Multipartite entanglement, quantum system