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Chin. Phys. B, 2021, Vol. 30(8): 080303    DOI: 10.1088/1674-1056/ac05a9
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Effects of initial states on the quantum correlations in the generalized Grover search algorithm

Zhen-Yu Chen(陈祯羽)1, Tian-Hui Qiu(邱田会)1, Wen-Bin Zhang(张文彬)2, and Hong-Yang Ma(马鸿洋)1,†
1 School of Science, Qingdao University of Technology, Qingdao 266033, China;
2 School of Information and Control Engineering, Qingdao University of Technology, Qingdao 266033, China
Abstract  We investigate the correlations between two qubits in the Grover search algorithm with arbitrary initial states by numerical simulation. Using a set of suitable bases, we construct the reduced density matrix and give the numerical expression of correlations relating to the iterations. For different initial states, we obtain the concurrence and quantum discord compared with the success probability in the algorithm. The results show that the initial states affect the correlations and the limit point of the correlations in the searching process. However, the initial states do not influence the whole cyclical trend.
Keywords:  Grover search algorithm      quantum correlations      initial states      the success probability  
Received:  07 April 2021      Revised:  17 May 2021      Accepted manuscript online:  27 May 2021
PACS:  03.67.Ac (Quantum algorithms, protocols, and simulations)  
  03.67.Hk (Quantum communication)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11975132 and 61772295), the Natural Science Foundation of Shandong Province, China (Grant No. ZR2019YQ01), and Shandong Province Higher Educational Science and Technology Program, China (Grant No. J18KZ012).
Corresponding Authors:  Hong-Yang Ma     E-mail:  hongyang_ma@aliyun.com

Cite this article: 

Zhen-Yu Chen(陈祯羽), Tian-Hui Qiu(邱田会), Wen-Bin Zhang(张文彬), and Hong-Yang Ma(马鸿洋) Effects of initial states on the quantum correlations in the generalized Grover search algorithm 2021 Chin. Phys. B 30 080303

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