中国物理B ›› 2007, Vol. 16 ›› Issue (7): 1858-1862.doi: 10.1088/1009-1963/16/7/009

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An important property of entanglement: pairwise entanglement that can only be transferred by an entangled pair

刘伍明1, 惠小强2   

  1. (1)Beijing National Laboratory for Condensed Matter Physics, Institute of Physics,Chinese Academy of Sciences, Beijing 100080, China; (2)Department of Applied Mathematics and Physics, Xi'an Institute of Posts and Telecommunications, Xi'an 710061, China ；Beijing National Laboratory for Condensed Matter Physics, Institute of Physics,Chinese Academy of Sciences, Beijing 100080, China
  • 收稿日期:2006-09-11 修回日期:2007-01-25 出版日期:2007-07-20 发布日期:2007-07-04
  • 基金资助:
    Project supported in part by the National Natural Science Foundation of China (Grant No 10547008), and the Foundation of Xi'an Institute of Posts and Telecommunications, China (Grant No 105-0414).

An important property of entanglement: pairwise entanglement that can only be transferred by an entangled pair

Xi Xiao-Qiang(惠小强)a)b)† and Liu Wu-Ming(刘伍明)b)   

  1. a Department of Applied Mathematics and Physics, Xi'an Institute of Posts and Telecommunications, Xi'an 710061, China; b  Beijing National Laboratory for Condensed Matter Physics, Institute of Physics,Chinese Academy of Sciences, Beijing 100080, China
  • Received:2006-09-11 Revised:2007-01-25 Online:2007-07-20 Published:2007-07-04
  • Supported by:
    Project supported in part by the National Natural Science Foundation of China (Grant No 10547008), and the Foundation of Xi'an Institute of Posts and Telecommunications, China (Grant No 105-0414).

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摘要： Based on the calculation of all the pairwise entanglements in the n ( n \leq 6 )-qubit Heisenberg XX open chain with system impurity, we find an important result: pairwise entanglement can only be transferred by an entangled pair. The non-nearest pairwise entanglements will have the possibility to exist as long as there has been even number of qubits in their middle. This point indicates that we can obtain longer distance entanglement in a solid system.

关键词: pairwise entanglement, transfer of entanglement, Heisenberg XX chain

Abstract: Based on the calculation of all the pairwise entanglements in the $n$  ($ n \leq 6$)-qubit Heisenberg XX open chain with system impurity, we find an important result: pairwise entanglement can only be transferred by an entangled pair. The non-nearest pairwise entanglements will have the possibility to exist as long as there has been even number of qubits in their middle. This point indicates that we can obtain longer distance entanglement in a solid system.

Key words: pairwise entanglement, transfer of entanglement, Heisenberg XX chain

中图分类号:  (Entanglement and quantum nonlocality)

  • 03.65.Ud
03.67.Lx (Quantum computation architectures and implementations) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)