Leakage Suppression for Holonomic Quantum Gates

Liu, Bao-Jie1,2; Yung, Man-Hong2,3,4,5

2020-09

10.1103/PhysRevApplied.14.034003

Physical Review Applied   影响因子和分区

2331-7019

Non-Abelian geometric phases acquired in cyclic quantum evolution can be utilized as natural resources for constructing robust holonomic gates for quantum-information processing. Recently, an extensible holonomic quantum computation (HQC) was proposed and demonstrated in a recent superconducting experiment [Yan et al., Phys. Rev. Lett. 122, 080501 (2019)]. However, for the weakly anharmonic system, this HQC was given of low gate fidelity due to leakage to states outside of the computational subspace. Here, we propose a scheme to construct nonadiabatic holonomic gates via a dynamical invariant using resonant interaction of three-level superconducting quantum systems. Furthermore, the proposed scheme can be compatible with optimal control technology for maximizing the gate fidelity against leakage error. For benchmarking, we provide a thorough analysis on the performance of our scheme under experimental conditions, which shows that the gate error can be reduced by as much as 91.7% compared with the conventional HQC. Moreover, the leakage rates can be reduced to the 10(-3) level by numerically choosing a suitable control parameter. Therefore, our scheme provides a promising way towards fault-tolerant quantum computation in a weakly anharmonic solid-state system.

SCI ; EI

英语

通讯

Natural Science Foundation of Guangdong Province[2017B030308003] ; Key R&D Program of Guangdong Province[2018B030326001] ; Science, Technology and Innovation Commission of Shenzhen Municipality[JCYJ20170412152620376][JCYJ20170817105046702][KYTDPT20181011104202253] ; National Natural Science Foundation of China[11875160][U1801661] ; Economy, Trade and Information Commission of Shenzhen Municipality[201901161512] ; Guangdong Provincial Key Laboratory[2019B121203002]

Physics

Physics, Applied

WOS:000567478200001

AMER PHYSICAL SOC

20204309379852

Logic gates ; Quantum optics ; Qubits

Logic Elements:721.2 ; Light, Optics and Optical Devices:741 ; Light/Optics:741.1 ; Nanotechnology:761 ; Quantum Theory; Quantum Mechanics:931.4

Web of Science

1.Harbin Inst Technol, Dept Phys, Harbin 150001, Peoples R China
2.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
3.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
4.Southern Univ Sci & Technol, Guangdong Prov Key Lab Quantum Sci & Engn, Shenzhen 518055, Peoples R China
5.Southern Univ Sci & Technol, Shenzhen Key Lab Quantum Sci & Engn, Shenzhen 518055, Peoples R China

Liu, Bao-Jie,Yung, Man-Hong. Leakage Suppression for Holonomic Quantum Gates[J]. Physical Review Applied,2020,14(3).

Liu, Bao-Jie,&Yung, Man-Hong.(2020).Leakage Suppression for Holonomic Quantum Gates.Physical Review Applied,14(3).

Liu, Bao-Jie,et al."Leakage Suppression for Holonomic Quantum Gates".Physical Review Applied 14.3(2020).