Implementation of a one-dimensional quantum walk in both position and phase spaces

doi:10.1088/1674-1056/23/1/010301

中国物理B ›› 2014, Vol. 23 ›› Issue (1): 10301-010301.doi: 10.1088/1674-1056/23/1/010301

Implementation of a one-dimensional quantum walk in both position and phase spaces

秦豪^a, 薛鹏^{a b}

a Department of Physics, Southeast University, Nanjing 211189, China;
b State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China

收稿日期:2013-06-29 修回日期:2013-08-28 出版日期:2013-11-12 发布日期:2013-11-12
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11004029 and 11174052), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2010422), the Ph.D. Program of the Ministry of Education of China, the Excellent Young Teachers Program of Southeast University, China, the National Basic Research Program of China (Grant No. 2011CB921203), and the Open Fund from the State Key Laboratory of Precision Spectroscopy of East China Normal University, China.

Implementation of a one-dimensional quantum walk in both position and phase spaces

Qin Hao (秦豪)^a, Xue Peng (薛鹏)^{a b}

a Department of Physics, Southeast University, Nanjing 211189, China;
b State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China

Received:2013-06-29 Revised:2013-08-28 Online:2013-11-12 Published:2013-11-12
Contact: Xue Peng E-mail:gnep.eux@gmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11004029 and 11174052), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2010422), the Ph.D. Program of the Ministry of Education of China, the Excellent Young Teachers Program of Southeast University, China, the National Basic Research Program of China (Grant No. 2011CB921203), and the Open Fund from the State Key Laboratory of Precision Spectroscopy of East China Normal University, China.

摘要/Abstract

摘要： Quantum walks have been investigated as they have remarkably different features in contrast to classical random walks. We present a quantum walk in a one-dimensional architecture, consisting of two coins and a walker whose evolution is in both position and phase spaces alternately controlled by the two coins respectively. By analyzing the dynamics evolution of the walker in both the position and phase spaces, we observe an influence on the quantum walk in one space from that in the other space, which behaves like decoherence. We propose an implementation of the two-coin quantum walk in both position and phase spaces via cavity quantum electrodynamics (QED).

关键词: quantum walks, cavity quantum electrodynamics

Abstract: Quantum walks have been investigated as they have remarkably different features in contrast to classical random walks. We present a quantum walk in a one-dimensional architecture, consisting of two coins and a walker whose evolution is in both position and phase spaces alternately controlled by the two coins respectively. By analyzing the dynamics evolution of the walker in both the position and phase spaces, we observe an influence on the quantum walk in one space from that in the other space, which behaves like decoherence. We propose an implementation of the two-coin quantum walk in both position and phase spaces via cavity quantum electrodynamics (QED).

Key words: quantum walks, cavity quantum electrodynamics

中图分类号: (Quantum algorithms, protocols, and simulations)

03.67.Ac

42.50.Pq (Cavity quantum electrodynamics; micromasers) 74.50.+r (Tunneling phenomena; Josephson effects)

秦豪, 薛鹏. Implementation of a one-dimensional quantum walk in both position and phase spaces[J]. 中国物理B, 2014, 23(1): 10301-010301.

Qin Hao (秦豪), Xue Peng (薛鹏). Implementation of a one-dimensional quantum walk in both position and phase spaces[J]. Chin. Phys. B, 2014, 23(1): 10301-010301.

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Implementation of a one-dimensional quantum walk in both position and phase spaces

Implementation of a one-dimensional quantum walk in both position and phase spaces

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