Quantum walks with coins undergoing different quantum noisy channels

doi:10.1088/1674-1056/25/1/010501

中国物理B ›› 2016, Vol. 25 ›› Issue (1): 10501-010501.doi: 10.1088/1674-1056/25/1/010501

Quantum walks with coins undergoing different quantum noisy channels

Hao Qin(秦豪) and Peng Xue(薛鹏)

1. Department of Physics, Southeast University, Nanjing 211189, China;
2. Beijing Institute of Mechanical and Electrical Space, Beijing 100094, China

收稿日期:2015-07-08 修回日期:2015-09-12 出版日期:2016-01-05 发布日期:2016-01-05
通讯作者: Peng Xue E-mail:gnep.eux@gmail.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11174052 and 11474049) and the CAST Innovation Fund, China.

Quantum walks with coins undergoing different quantum noisy channels

Hao Qin(秦豪)¹ and Peng Xue(薛鹏)^1,2

1. Department of Physics, Southeast University, Nanjing 211189, China;
2. Beijing Institute of Mechanical and Electrical Space, Beijing 100094, China

Received:2015-07-08 Revised:2015-09-12 Online:2016-01-05 Published:2016-01-05
Contact: Peng Xue E-mail:gnep.eux@gmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11174052 and 11474049) and the CAST Innovation Fund, China.

摘要/Abstract

摘要：

Quantum walks have significantly different properties compared to classical random walks, which have potential applications in quantum computation and quantum simulation. We study Hadamard quantum walks with coins undergoing different quantum noisy channels and deduce the analytical expressions of the first two moments of position in the long-time limit. Numerical simulations have been done, the results are compared with the analytical results, and they match extremely well. We show that the variance of the position distributions of the walks grows linearly with time when enough steps are taken and the linear coefficient is affected by the strength of the quantum noisy channels.

关键词: quantum walks, quantum noisy channels

Abstract:

Key words: quantum walks, quantum noisy channels

中图分类号: (Random walks and Levy flights)

05.40.Fb

03.67.Ac (Quantum algorithms, protocols, and simulations) 03.65.Ta (Foundations of quantum mechanics; measurement theory)

秦豪, 薛鹏. Quantum walks with coins undergoing different quantum noisy channels[J]. 中国物理B, 2016, 25(1): 10501-010501.

Hao Qin(秦豪) and Peng Xue(薛鹏). Quantum walks with coins undergoing different quantum noisy channels[J]. Chin. Phys. B, 2016, 25(1): 10501-010501.

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Quantum walks with coins undergoing different quantum noisy channels

Quantum walks with coins undergoing different quantum noisy channels

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