The entanglement swapping of tripartite entangled coherent state by linear optics devices

Abstract

Abstract:

A scheme for the entanglement swapping of entangled states with continuous variable is presented, in which the bipartite maximally entangled coherent state serves as the quantum channel. With the help of the idea of teleportation and using beam splitter and phase-shifter we can realize entanglement swapping of tripartite entangled coherent state. In this scheme, the entanglement swapping is failure only for a measurement process. But the failure probability is very small. The detail results show that the probability and the minimum of total average fidelity for successful swapping an arbitrary tripartite entangled coherent state is nearly 1 when the mean number of photons is larger than 2.

Key words: quantum information, entanglement swapping, linear optics device, entangled coherent state, teleportation, fidelity

LI Dong-Mei. The entanglement swapping of tripartite entangled coherent state by linear optics devices[J]. J4, 2009, 26(4): 446-450.

References

[1] Bennett C H., Brassard G and Grepeau C, Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
[J]. Phys. Rev. Lett., 1993, 70: 1895-1899.

[2] Vaidman L, Teleportation of quantum states
[J]. Phys. Rev. A, 1994, 49: 1473-1476.

[3] Sun Yong, Man Zhong-Xiao and Xia Yun-Jie, Improving the teleportation of tripartite entangled coherent states. Int. J. Quant. Infor.
[J]. 2009, 7(1): 313–321.

[4] Cha Xin-Wei, The expansion of orthogonal complete set and transformation operator in teleportation
[J]. Chinese Journal of Quantum Electronics (量子电子学报) ，2007，24：179－182（In Chinese）

[5] Yan Wei and Zhang Wei-Jun, Quantum teleportation of canonical variables
[J]. Chinese Journal of Quantum Electronics (量子电子学报) （In Chinese），2008，25：56－59（In Chinese）

[6] León J, and Sabín C, Entanglement swapping between spacelike-separated atoms
[J]. Phys. Rev. A, 2008, 78: 052314.

[7] Yu Li-Zhi and Gong Ren-Shan, Purification for entangled multi-atom states via entanglement swapping
[J]. Chinese Journal of Quantum Electronics (量子电子学报) ，（In Chinese） 2008, 25：317－321

[8] Chen Yan, Man Zhong-Xiao and Xia Yun-Jie, Quantum bidirectional secure communication by using GHZ states and entanglement swapping
[J]. Chin. Phys. Lett., 2007, 24: 19-22 .

[9] Zokowski M, Zeilinger A, Horne M A, and Ekert A K. “Event-Ready-Detectors” Bell Experiment via entanglement swapping
[J]. Phys. Rev. Lett., 1993, 71:4287-4290.

[10] Pan Jian-Wei, Bouwmeester D WeinfurterH, and Zeilinger A. Experimental Entanglement Swapping: Entangling photons that never interacted
[J]. Phys. Rev. Lett., 1998, 80: 3891-3894.

[11] Bose S, Vedral V, and Knight P L. Purification via entanglement swapping and conserved entanglement
[J]. Phys. Rev. A, 1999, 60: 194-197.

[12] Briegel H.-J, Dür W, Cirac J I, and Zoller P. Quantum Repeaters: The role of imperfect local operations in quantum communication
[J]. Phys. Rev. Lett., 1998, 81: 5932-5935.

[13] Wang Xiaoguang. Quantum teleportation of entangled coherent states
[J]. Phys. Rev. A, 2001, 64: 022302-022304.

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