Effects of initial states on the quantum correlations in the generalized Grover search algorithm

• 作者: Zhen-Yu Chen Tian-Hui Qiu Wen-Bin Zhang Hong-Yang Ma
• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2021,（8）
• 所属期刊栏目: RAPID COMMUNICATION
• 页码范围: 161-168
• 页数: 8页
• 语种: 英文
• DOI: 10.1088/1674-1056/ac05a9

摘要

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.