Continuous-variable geometric phase and its manipulation for quantum computation in a superconducting circuit

Chao Song, Shi-Biao Zheng (), Pengfei Zhang, Kai Xu, Libo Zhang, Qiujiang Guo, Wuxin Liu, Da Xu, Hui Deng, Keqiang Huang, Dongning Zheng, Xiaobo Zhu () and H. Wang ()
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Chao Song: Zhejiang University
Shi-Biao Zheng: College of Physics and Information Engineering, Fuzhou University
Pengfei Zhang: Zhejiang University
Kai Xu: Zhejiang University
Libo Zhang: Zhejiang University
Qiujiang Guo: Zhejiang University
Wuxin Liu: Zhejiang University
Da Xu: Zhejiang University
Hui Deng: Institute of Physics, Chinese Academy of Sciences
Keqiang Huang: Institute of Physics, Chinese Academy of Sciences
Dongning Zheng: Institute of Physics, Chinese Academy of Sciences
Xiaobo Zhu: Institute of Physics, Chinese Academy of Sciences
H. Wang: Zhejiang University

Nature Communications, 2017, vol. 8, issue 1, 1-7

Abstract: Abstract Geometric phase, associated with holonomy transformation in quantum state space, is an important quantum-mechanical effect. Besides fundamental interest, this effect has practical applications, among which geometric quantum computation is a paradigm, where quantum logic operations are realized through geometric phase manipulation that has some intrinsic noise-resilient advantages and may enable simplified implementation of multi-qubit gates compared to the dynamical approach. Here we report observation of a continuous-variable geometric phase and demonstrate a quantum gate protocol based on this phase in a superconducting circuit, where five qubits are controllably coupled to a resonator. Our geometric approach allows for one-step implementation of n-qubit controlled-phase gates, which represents a remarkable advantage compared to gate decomposition methods, where the number of required steps dramatically increases with n. Following this approach, we realize these gates with n up to 4, verifying the high efficiency of this geometric manipulation for quantum computation.

Date: 2017
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DOI: 10.1038/s41467-017-01156-5

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