Error-resilient Floquet geometric quantum computation

Wang，Yuan Sheng1,2; Liu，Bao Jie1; Su，Shi Lei3; Yung，Man Hong1,4,5,6

2021-09-01

10.1103/PhysRevResearch.3.033010

Physical Review Research   影响因子和分区

2643-1564

We propose a geometric quantum computation (GQC) scheme, called Floquet GQC (FGQC), where error-resilient geometric gates based on periodically driven two-level systems can be constructed via a non-Abelian geometric phase proposed in a recent study [V. Novičenko and G. Juzeliūnas, Phys. Rev. A 100, 012127 (2019)10.1103/PhysRevA.100.012127]. Based on Rydberg atoms, we give possible implementations of universal FGQC single-qubit gates and a nontrivial FGQC two-qubit gate. By using numerical simulation, we evaluate the performance of the FGQC Z and X gates in the presence of both decoherence and a certain kind of systematic control error. For the currently available coherence time of the Rydberg state, T2≈32μs, the numerical results show that the X and Z gate fidelities are about 0.900 and 0.899, respectively. In addition, we find that FGQC is robust against global control error; both analytical demonstration and numerical evidence are given. As the coherence time of various qubits grows, FGQC may provide a promising error-resilient quantum computation scheme in the future.

EI ; ESCI

英语

第一

WOS:000669569500008

20212810617718

Errors ; Geometry ; Qubits ; Rydberg states

Mathematics:921 ; Quantum Theory; Quantum Mechanics:931.4

2-s2.0-85115906260

Scopus

1.Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China
2.School of Physical Sciences,University of Science and Technology of China,Hefei,230026,China
3.School of Physics,Zhengzhou University,Zhengzhou,450001,China
4.Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
5.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
6.Shenzhen Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China

Wang，Yuan Sheng,Liu，Bao Jie,Su，Shi Lei,et al. Error-resilient Floquet geometric quantum computation[J]. Physical Review Research,2021,3(3).

Wang，Yuan Sheng,Liu，Bao Jie,Su，Shi Lei,&Yung，Man Hong.(2021).Error-resilient Floquet geometric quantum computation.Physical Review Research,3(3).

Wang，Yuan Sheng,et al."Error-resilient Floquet geometric quantum computation".Physical Review Research 3.3(2021).