中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70310-070310.doi: 10.1088/1674-1056/21/7/070310

• GENERAL • 上一篇    下一篇

Aharonov–Anandan phase gate in sub Hilbert space of a coupling flux qubits system

郑国林a b, 邓辉b, 吴玉林b, 王新强a, 陈莺飞b, 郑东宁b   

  1. a College of physics, Chongqing University, Chongqing 400044, China;
    b Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 收稿日期:2012-03-08 修回日期:2012-04-06 出版日期:2012-06-01 发布日期:2012-06-01
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant Nos. 2011CBA00106 and 2009CB929102), the National Natural Science Foundation of China (Grant Nos. 11161130519 and 10974243), and the Fundamental Research Funds for the Central Universities, China (Grant No. CDJXS11100012).

Aharonov–Anandan phase gate in sub Hilbert space of a coupling flux qubits system

Zheng Guo-Lin(郑国林)a) b)†, Deng Hui(邓辉)b), Wu Yu-Lin(吴玉林)b), Wang Xin-Qiang(王新强)a), Chen Ying-Fei(陈莺飞) b), and Zheng Dong-Ning(郑东宁)b)   

  1. a College of physics, Chongqing University, Chongqing 400044, China;
    b Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2012-03-08 Revised:2012-04-06 Online:2012-06-01 Published:2012-06-01
  • Contact: Zheng Guo-Lin E-mail:gerrin291@hotmail.com
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant Nos. 2011CBA00106 and 2009CB929102), the National Natural Science Foundation of China (Grant Nos. 11161130519 and 10974243), and the Fundamental Research Funds for the Central Universities, China (Grant No. CDJXS11100012).

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摘要： We study two flux qubits with a parameter coupling scenario. Under the rotating wave approximation, we truncate the 4-dimension Hilbert space of a coupling flux qubits system to a 2-dimension subspace spanned by two dressed states |01> and |10>. In this subspace, we illustrate how to generate an Aharnov--Anandan phase, based on which, we can construct a NOT gate (as effective as a C-NOT gate) in this coupling flux qubits system. Finally, the fidelity of the NOT gate is also calculated in the presence of the simulated classical noise.

关键词: Aharonov--Anandan phase, sub Hilbert space, coupling flux qubits

Abstract: We study two flux qubits with a parameter coupling scenario. Under the rotating wave approximation, we truncate the 4-dimension Hilbert space of a coupling flux qubits system to a 2-dimension subspace spanned by two dressed states |01> and |10>. In this subspace, we illustrate how to generate an Aharnov--Anandan phase, based on which, we can construct a NOT gate (as effective as a C-NOT gate) in this coupling flux qubits system. Finally, the fidelity of the NOT gate is also calculated in the presence of the simulated classical noise.

Key words: Aharonov--Anandan phase, sub Hilbert space, coupling flux qubits

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

  • 03.67.Lx
03.65.Aa (Quantum systems with finite Hilbert space) 85.25.Cp (Josephson devices)