Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Liu，Bao Jie1,2; Su，Shi Lei3; Yung，Man Hong2,4,5

2020-10-23

10.1103/PhysRevResearch.2.043130

Physical Review Research   影响因子和分区

2643-1564

Nonadiabatic geometric quantum computation (NGQC) has been developed to realize fast and robust geometric gate. However, the conventional NGQC is that all of the gates are performed with exactly the same amount of time, whether the geometric rotation angle is large or small, due to the limitation of cyclic condition. Here, we propose an unconventional scheme, called nonadiabatic noncyclic geometric quantum computation (NNGQC), that arbitrary single- and two-qubit geometric gate can be constructed via noncyclic non-Abelian geometric phase. Consequently, this scheme makes it possible to accelerate the implemented geometric gates against the effects from the environmental decoherence. Furthermore, this extensible scheme can be applied in various quantum platforms, such as superconducting qubit and Rydberg atoms. Specifically, for single-qubit gate, we make simulations with practical parameters in neutral atom system to show the robustness of NNGQC and also compare with NGQC using the recent experimental parameters to show that the NNGQC can significantly suppress the decoherence error. In addition, we also demonstrate that nontrivial two-qubit geometric gate can be realized via unconventional Rydberg blockade regime within current experimental technologies. Therefore, our scheme provides a promising way for fast and robust neutral-atom-based quantum computation.

EI

英语

其他

20204509462325

Quantum theory ; Qubits ; Logic gates ; Atomic beams ; Geometry ; Rydberg states

Logic Elements:721.2 ; Light, Optics and Optical Devices:741 ; Nanotechnology:761 ; Mathematics:921 ; Atomic and Molecular Physics:931.3 ; Quantum Theory; Quantum Mechanics:931.4

2-s2.0-85114917877

Scopus

1.Department of Physics,Harbin Institute of Technology,Harbin,150001,China
2.Institute for Quantum Science and Engineering,Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China
3.School of Physics,Zhengzhou University,Zhengzhou,450001,China
4.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
5.Shenzhen Key Laboratory of Quantum Science and Engineering,Shenzhen,518055,China

Liu，Bao Jie,Su，Shi Lei,Yung，Man Hong. Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms[J]. Physical Review Research,2020,2(4).

Liu，Bao Jie,Su，Shi Lei,&Yung，Man Hong.(2020).Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms.Physical Review Research,2(4).

Liu，Bao Jie,et al."Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms".Physical Review Research 2.4(2020).