中国物理B ›› 2007, Vol. 16 ›› Issue (6): 1566-1569.doi: 10.1088/1009-1963/16/6/012

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A scheme of quantum phase gate for trapped ion

方卯发1, 蔡建武2, 廖湘萍2, 郑小娟3   

  1. (1)College of Physics and Information Science, Hunan Normal University, Changsha, 410081, China; (2)College of Physics and Information Science, Hunan Normal University, Changsha, 410081, China;Department of Physics Science and electronics, Zhuzhou Teacher's College,Zhuzhou 412007, China; (3)College of Physics and Information Science, Hunan Normal University, Changsha, 410081, China;School of Physics Science and Technology, Central South University, Changsha 410082, China
  • 收稿日期:2006-06-30 修回日期:2006-12-28 出版日期:2007-06-20 发布日期:2007-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No~10374025).

A scheme of quantum phase gate for trapped ion

Cai Jian-Wu(蔡建武)a)b), Fang Mao-Fa(方卯发)a)† Zheng Xiao-Juan(郑小娟)a)c), and Liao Xiang-Ping(廖湘萍)a)b)   

  1. a College of Physics and Information Science, Hunan Normal University, Changsha 410081, China; b Department of Physics Science and electronics, Zhuzhou Teacher's College, Zhuzhou 412007, China; c School of Physics Science and Technology, Central South University, Changsha 410082, China
  • Received:2006-06-30 Revised:2006-12-28 Online:2007-06-20 Published:2007-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No~10374025).

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摘要： We propose a scheme to implement two-qubit controlled quantum phase gate(CQPG) via a single trapped two-level ion located in the standing wave field of a quantum cavity, in which the trap works beyond the Lamb--Dicke limit. When the light field is resonant with the atomic transition $|g\rangle\leftrightarrow|e\rangle$ of the ion located at the antinode of the standing wave, we can perform CQPG between the internal and external states of the trapped ion; while the frequency of the light field is chosen to be resonant with the first red sideband of the collective vibrational mode of the ion located at the node of the standing wave, we can perform CQPG between the cavity mode and the collective vibrational mode of the trapped ion. Neither the Lamb--Dicke approximation nor the assistant classical laser is needed. Also we can generate a GHZ state if assisted with a classical laser.

关键词: quantum phase gate, single trapped ion, single quantum cavity mode, GHZ state

Abstract: We propose a scheme to implement two-qubit controlled quantum phase gate(CQPG) via a single trapped two-level ion located in the standing wave field of a quantum cavity, in which the trap works beyond the Lamb--Dicke limit. When the light field is resonant with the atomic transition $|g\rangle\leftrightarrow|e\rangle$ of the ion located at the antinode of the standing wave, we can perform CQPG between the internal and external states of the trapped ion; while the frequency of the light field is chosen to be resonant with the first red sideband of the collective vibrational mode of the ion located at the node of the standing wave, we can perform CQPG between the cavity mode and the collective vibrational mode of the trapped ion. Neither the Lamb--Dicke approximation nor the assistant classical laser is needed. Also we can generate a GHZ state if assisted with a classical laser.

Key words: quantum phase gate, single trapped ion, single quantum cavity mode, GHZ state

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

  • 03.67.Lx
32.80.-t (Photoionization and excitation) 42.50.Pq (Cavity quantum electrodynamics; micromasers)