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

Autor: Song, Chao, Zheng, Shi-Biao, Zhang, Pengfei, Xu, Kai, Zhang, Libo, Guo, Qiujiang, Liu, Wuxin, Xu, Da, Deng, Hui, Huang, Keqiang, Zheng, Dongning, Zhu, Xiaobo, Wang, H.
Rok vydání: 2017
Předmět:
Zdroj: Nature Communications 8, 1061 (2017)
Druh dokumentu: Working Paper
DOI: 10.1038/s41467-017-01156-5
Popis: 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 multiqubit 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.
Comment: 12 pages, 10 figures
Databáze: arXiv