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


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.

SUBMITTER: Song C 

PROVIDER: S-EPMC5715165 | biostudies-literature | 2017 Oct

REPOSITORIES: biostudies-literature

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

Song Chao C   Zheng Shi-Biao SB   Zhang Pengfei P   Xu Kai K   Zhang Libo L   Guo Qiujiang Q   Liu Wuxin W   Xu Da D   Deng Hui H   Huang Keqiang K   Zheng Dongning D   Zhu Xiaobo X   Wang H H  

Nature communications 20171020 1


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 obse  ...[more]

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