An Aharonov-Anandan phase gate in the sub-Hilbert space of a coupling flux qubits system

We study two flux qubits with a parameter coupling scenario. Under the rotating wave approximation, we truncate the 4-dimensional Hilbert space of a coupling flux qubits system to a 2-dimensional subspace spanned by two dressed states ｜01} and ｜10}. In this subspace, we illustrate how to generate an...

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Published inChinese physics B Vol. 21; no. 7; pp. 146 - 151
Main Author 郑国林 邓辉 吴玉林 王新强 陈莺飞 郑东宁
Format Journal Article
LanguageEnglish
Published 01.07.2012
Subjects
Approximation
Brackets
Flux
Gates
Hilbert空间
Joining
Mathematical analysis
Qubits (quantum computing)
Simulation
Subspaces
参数耦合
子空间
旋波近似
磁通
缀饰态
通量
量子系统
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/7/070310

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Summary:We study two flux qubits with a parameter coupling scenario. Under the rotating wave approximation, we truncate the 4-dimensional Hilbert space of a coupling flux qubits system to a 2-dimensional 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. FinMly, the fidelity of the NOT gate is also calculated in the presence of the simulated classical noise.
Bibliography:We study two flux qubits with a parameter coupling scenario. Under the rotating wave approximation, we truncate the 4-dimensional Hilbert space of a coupling flux qubits system to a 2-dimensional 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. FinMly, the fidelity of the NOT gate is also calculated in the presence of the simulated classical noise.
Aharonov Anandan phase, sub-Hilbert space, coupling flux qubits
Zheng Guo-Lin, Deng Hui, Wu Yu-Lin, Wang Xin-Qiang, Chen Ying-Fei Zheng Dong-Ning 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
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/7/070310