Robust nonadiabatic geometric quantum computation by dynamical correction

Liang, Ming-Jie1,2; Xue, Zheng-Yuan1,2,3,4

2022-07-06

10.1103/PhysRevA.106.012603

PHYSICAL REVIEW A   影响因子和分区

2469-9926

2469-9934

Besides the intrinsic noise resilience property, nonadiabatic geometric phases are of the fast evolution nature, and thus can naturally be used in constructing quantum gates with excellent performance, i.e., the so-called nonadiabatic geometric quantum computation (NGQC). However, previous single-loop NGQC schemes are sensitive to the operational control error, i.e., the X error, due to the limitations of the implementation. Here, we propose a robust scheme for NGQC combining with the dynamical correction technique, which still uses only simplified pulses, and thus being experimental friendly. We numerically show that our scheme can greatly improve the gate robustness in previous protocols, retaining the intrinsic merit of geometric phases. Furthermore, to fight against the dephasing noise, due to the Z error, we can incorporate the decoherence-free subspace encoding strategy. In this way, our scheme can be robust against both types of errors. Finally, we also propose how to implement the scheme with encoding on superconducting quantum circuits with experimentally demonstrated technology. Therefore, due to the intrinsic robustness, our scheme provides a promising alternation for the future scalable fault-tolerant quantum computation.

SCI ; EI

英语

通讯

Key-Area Research and Development Program of GuangDong Province[2018B030326001] ; National Natural Science Foundation of China[11874156] ; Guangdong Provincial Key Laboratory of Quantum Science and Engineering[2019B121203002] ; Guangdong Provincial Key Laboratory[2020B1212060066]

Optics ; Physics

Optics ; Physics, Atomic, Molecular & Chemical

WOS:000824587200007

AMER PHYSICAL SOC

20223012411942

Encoding (symbols) ; Geometry ; Quantum computers ; Quantum theory ; Signal encoding

Information Theory and Signal Processing:716.1 ; Computer Systems and Equipment:722 ; Data Processing and Image Processing:723.2 ; Mathematics:921 ; Quantum Theory; Quantum Mechanics:931.4

PHYSICS

Web of Science

1.South China Normal Univ, Guangdong Prov Key Lab Quantum Engn & Quantum Ma, Guangzhou 510006, Peoples R China
2.South China Normal Univ, Sch Phys & Telecommun Engn, Guangzhou 510006, Peoples R China
3.South China Normal Univ, Guangdong Hong Kong Joint Lab Quantum Matter & Fr, Guangzhou 510006, Peoples R China
4.Southern Univ Sci & Technol, Guangdong Prov Key Lab Quantum Sci & Engn, Shenzhen 518055, Peoples R China

Liang, Ming-Jie,Xue, Zheng-Yuan. Robust nonadiabatic geometric quantum computation by dynamical correction[J]. PHYSICAL REVIEW A,2022,106(1).

Liang, Ming-Jie,&Xue, Zheng-Yuan.(2022).Robust nonadiabatic geometric quantum computation by dynamical correction.PHYSICAL REVIEW A,106(1).

Liang, Ming-Jie,et al."Robust nonadiabatic geometric quantum computation by dynamical correction".PHYSICAL REVIEW A 106.1(2022).