Quantum walks with coins undergoing different quantum noisy channels

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

Abstract

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.

Keywords: quantum walks quantum noisy channels

Received: 08 July 2015
Revised: 12 September 2015
Accepted manuscript online:

PACS:	05.40.Fb	(Random walks and Levy flights)
	03.67.Ac	(Quantum algorithms, protocols, and simulations)
	03.65.Ta	(Foundations of quantum mechanics; measurement theory)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11174052 and 11474049) and the CAST Innovation Fund, China.

Corresponding Authors: Peng Xue
E-mail: gnep.eux@gmail.com

Cite this article:

Hao Qin(秦豪) and Peng Xue(薛鹏) Quantum walks with coins undergoing different quantum noisy channels 2016 Chin. Phys. B 25 010501

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