中国物理B ›› 2003, Vol. 12 ›› Issue (3): 287-293.doi: 10.1088/1009-1963/12/3/307

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Quantum entanglement in a two-dimensional ion trap

王成志, 方卯发   

  1. Department of Physics, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2002-05-21 修回日期:2002-12-09 出版日期:2003-03-16 发布日期:2005-03-16
  • 基金资助:
    Projects supported by the National Natural Science Foundation of China (Grant No 19874020), the Natural Science Foundation of Hunan province (Grant No 01JJY3030) and the Ministry of Education, China.

Quantum entanglement in a two-dimensional ion trap

Wang Cheng-Zhi (王成志), Fang Mao-Fa (方卯发)   

  1. Department of Physics, Hunan Normal University, Changsha 410081, China
  • Received:2002-05-21 Revised:2002-12-09 Online:2003-03-16 Published:2005-03-16
  • Supported by:
    Projects supported by the National Natural Science Foundation of China (Grant No 19874020), the Natural Science Foundation of Hunan province (Grant No 01JJY3030) and the Ministry of Education, China.

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摘要： In this paper, we investigate the quantum entanglement in a two-dimensional ion trap system. We discuss the quantum entanglement between the ion and phonons by using reduced entropy, and that between two degrees of freedom of the vibrational motion along x and y directions by using quantum relative entropy. We discuss also the influence of initial state of the system on the quantum entanglement and the relation between two entanglements in the trapped ion system.

Abstract: In this paper, we investigate the quantum entanglement in a two-dimensional ion trap system. We discuss the quantum entanglement between the ion and phonons by using reduced entropy, and that between two degrees of freedom of the vibrational motion along x and y directions by using quantum relative entropy. We discuss also the influence of initial state of the system on the quantum entanglement and the relation between two entanglements in the trapped ion system.

Key words: trapped ion, quantum entanglement, reduced entropy, relative entropy

中图分类号:  (Quantum state engineering and measurements)

  • 42.50.Dv
37.10.Vz (Mechanical effects of light on atoms, molecules, and ions)