Robust three-qubit search algorithm in Rydberg atoms via geometric control

Liu，Bing Bing1; Shan，Zheng2; Yun，M. R.1; Wang，D. Y.1; Liu，B. J.3,7; Yan，L. L.1; Feng，M.4,5,6; Su，S. L.1

2022-11-01

10.1103/PhysRevA.106.052610

Physical Review A   Impact Factor & Quartile

2469-9926

2469-9934

Rydberg atoms possess long coherence time and inherent scalability, which makes it promising to implement quantum algorithms. An exact and robust quantum search algorithm (SA) is essential to some practical applications. Here we propose a multisolution three-qubit SA by employing quantum circuit and geometric operations, in which the target states can be successfully searched with the fidelity of at least 99.8% and the geometric operators guarantee robustness against systematic errors. In particular, the geometric three-qubit gate operators employed reduce the implementation time and help to resist against the detrimental influence of decoherence. Moreover, our scheme can be straightforwardly extended to multiqubit cases. We have carried out numerical simulations based on the master equation to illustrate the superiority of our scheme. We consider that our study provides an alternative method for executing quantum SAs with high success probability.

SCI

English

Others

National Natural Science Foundation of China (NSFC)["12274376","12074346"] ; major science and technology project of Henan Province[221100210400] ; Natural Science Foundation of Henan Province[212300410085] ; Special Project for Research and Development in Key Areas of Guangdong Province[2020B0303300001]

Optics ; Physics

Optics ; Physics, Atomic, Molecular & Chemical

WOS:000917993900003

AMER PHYSICAL SOC

2-s2.0-85143200860

Scopus

1.Key Laboratory of Material Physics,Ministry of Education,School of Physics and Microelectronics,Zhengzhou University,Zhengzhou,450001,China
2.State Key Laboratory of Mathematical Engineering and Advanced Computing,Zhengzhou,Henan,450001,China
3.Department of Physics,Southern University of Science and Technology,Shenzhen,Guangdonga,518055,China
4.State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics,Wuhan Institute of Physics and Mathematics,Innovation Academy of Precision Measurement Science and Technology,Chinese Academy of Sciences,Wuhan,430071,China
5.Research Center for Quantum Precision Measurement,Guangzhou Institute of Industry Technology,Guangzhou,511458,China
6.Department of Physics,Zhejiang Normal University,Jinhua,321004,China
7.Department of Physics,University of Massachusetts-Amherst,Amherst,01003,United States

Liu，Bing Bing,Shan，Zheng,Yun，M. R.,et al. Robust three-qubit search algorithm in Rydberg atoms via geometric control[J]. Physical Review A,2022,106(5).

Liu，Bing Bing.,Shan，Zheng.,Yun，M. R..,Wang，D. Y..,Liu，B. J..,...&Su，S. L..(2022).Robust three-qubit search algorithm in Rydberg atoms via geometric control.Physical Review A,106(5).

Liu，Bing Bing,et al."Robust three-qubit search algorithm in Rydberg atoms via geometric control".Physical Review A 106.5(2022).