Decoherence in two-dimensional quantum walks with two- and four-state coins

被引:1
|
作者
Yang, Yu-Guang [1 ,2 ]
Wang, Xi-Xi [1 ]
Li, Jian [3 ]
Li, Dan [4 ]
Zhou, Yi-Hua [1 ]
Shi, Wei-Min [1 ]
机构
[1] Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China
[2] Beijing Key Lab Trusted Comp, Beijing 100124, Peoples R China
[3] Beijing Univ Posts & Telecommun, Sch Comp, Beijing 100876, Peoples R China
[4] Nanjing Univ Aeronaut & Astronaut NUAA, Coll Comp Sci & Technol, Nanjing 211106, Peoples R China
基金
中国国家自然科学基金;
关键词
Decoherence; quantum walks; broken-link-type noise; two-state walk;
D O I
10.1142/S0217732321502102
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Two-dimensional quantum walks using a two-state coin have simpler experimental implementation than two-dimensional quantum walks using a four-state coin. However, decoherence occurs inevitably during the evolution of quantum walks due to the coupling between the quantum systems and their environment. Thus, it is interesting to investigate the robustness against decoherence for two- and four-state two-dimensional quantum walks. Here, we investigate the effects of the decoherence on two- and four-state two-dimensional quantum walks produced by the broken-link-type noise and compare their robustness against the broken-link-type noise. Specifically, we analyze the quantum correlation between the two spatial dimensions x and y by using measurement-induced disturbance for the two-state quantum walks, i.e. the alternate walk and the Pauli walk, and the four-state quantum walks, i.e. the Grover, Hadamard and Fourier walks, respectively. Our analysis shows that the two-state walks are more robust against the broken-link-type noise than the four-state walks.
引用
收藏
页数:19
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