中国物理B ›› 2002, Vol. 11 ›› Issue (2): 109-114.doi: 10.1088/1009-1963/11/2/302

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How to control a geometric quantum gate

郝三如1, 侯伯宇2, 惠小强2, 岳瑞宏2   

  1. (1)Calculating Physics Division, Department of Computer Teaching, Hunan Normal University, Changsha 410081, China; Institute of Modern Physics, Northwest University, Xi'an 710069, China; (2)Institute of Modern Physics, Northwest University, Xi'an 710069, China
  • 收稿日期:2001-05-05 修回日期:2001-10-22 出版日期:2002-02-13 发布日期:2005-06-13
  • 基金资助:
    Project supported in part by the National Natural Science Foundation of China (Grant No. 19975036) and also by the Foundation of the Science and Technology Committee of Hunan Province, China (Grant No. 21000205).

How to control a geometric quantum gate

Hao San-Ru (郝三如)ab, Hou Bo-Yu (侯伯宇)b, Xi Xiao-Qiang (惠小强)b, Yue Rui-Hong (岳瑞宏)b   

  1. a Calculating Physics Division, Department of Computer Teaching, Hunan Normal University, Changsha 410081, China; b Institute of Modern Physics, Northwest University, Xi'an 710069, China
  • Received:2001-05-05 Revised:2001-10-22 Online:2002-02-13 Published:2005-06-13
  • Supported by:
    Project supported in part by the National Natural Science Foundation of China (Grant No. 19975036) and also by the Foundation of the Science and Technology Committee of Hunan Province, China (Grant No. 21000205).

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摘要： In this paper, we detail the theoretical ideas which are used to explain the mechanism of the laser controlling the geometric quantum gates introduced in the work by Ekert et al. (Ekert A, Ericsson M, Hayden P, Inanori H, Jones J A, Oi D K L and Vedral V 2000 J. Mod. Opt. 47 2501). We have introduced a two-level Hamiltonian system, and directed to solve this system, and then obtained the probability distribution of this two-level system. We also show the relationships between the external laser fields and the transition of the qubit in the two-qubit controlled-phase gate, and how the transition of the qubit depends on the external laser fields and the states of the controlled qubit.

Abstract: In this paper, we detail the theoretical ideas which are used to explain the mechanism of the laser controlling the geometric quantum gates introduced in the work by Ekert et al. (Ekert A, Ericsson M, Hayden P, Inanori H, Jones J A, Oi D K L and Vedral V 2000 J. Mod. Opt. 47 2501). We have introduced a two-level Hamiltonian system, and directed to solve this system, and then obtained the probability distribution of this two-level system. We also show the relationships between the external laser fields and the transition of the qubit in the two-qubit controlled-phase gate, and how the transition of the qubit depends on the external laser fields and the states of the controlled qubit.

Key words: laser controlling mechanism, geometric quantum gate, two-level system

中图分类号:  (Quantum computation architectures and implementations)

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