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
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.
Received: 05 May 2001
Revised: 22 October 2001
Accepted manuscript online:
PACS:
03.67.Lx
(Quantum computation architectures and implementations)
Fund: 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).
Cite this article:
Hao San-Ru (郝三如), Hou Bo-Yu (侯伯宇), Xi Xiao-Qiang (惠小强), Yue Rui-Hong (岳瑞宏) How to control a geometric quantum gate 2002 Chinese Physics 11 109
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