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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) |
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 |
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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.
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Received: 08 March 2012
Revised: 06 April 2012
Accepted manuscript online:
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PACS:
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03.67.Lx
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(Quantum computation architectures and implementations)
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03.65.Aa
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(Quantum systems with finite Hilbert space)
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85.25.Cp
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(Josephson devices)
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| Fund: 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). |
Corresponding Authors:
Zheng Guo-Lin
E-mail: gerrin291@hotmail.com
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Cite this article:
Zheng Guo-Lin(郑国林), Deng Hui(邓辉), Wu Yu-Lin(吴玉林), Wang Xin-Qiang(王新强), Chen Ying-Fei(陈莺飞), and Zheng Dong-Ning(郑东宁) Aharonov–Anandan phase gate in sub Hilbert space of a coupling flux qubits system 2012 Chin. Phys. B 21 070310
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