The entanglement of deterministic aperiodic quantum walks

doi:10.1088/1674-1056/27/12/120305

中国物理B ›› 2018, Vol. 27 ›› Issue (12): 120305-120305.doi: 10.1088/1674-1056/27/12/120305

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

The entanglement of deterministic aperiodic quantum walks

Ting-Ting Liu(刘婷婷), Ya-Yun Hu(胡亚运), Jing Zhao(赵静), Ming Zhong(钟鸣), Pei-Qing Tong(童培庆)

1 Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing 210023, China;
2 Physics Department, 104 Davey Laboratory, Pennsylvania State University, University Park, PA 16802, USA;
3 College of Mathematical and Physical Sciences, Anshun University, Anshun 561000, China;
4 Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing Normal University, Nanjing 210023, China

收稿日期:2018-08-18 修回日期:2018-10-09 出版日期:2018-12-05 发布日期:2018-12-05
通讯作者: Ming Zhong, Pei-Qing Tong E-mail:mzhong@njnu.edu.cn;pqtong@njnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11575087 and 11175087).

The entanglement of deterministic aperiodic quantum walks

Ting-Ting Liu(刘婷婷)¹, Ya-Yun Hu(胡亚运)², Jing Zhao(赵静)³, Ming Zhong(钟鸣)¹, Pei-Qing Tong(童培庆)^1,4

1 Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing 210023, China;
2 Physics Department, 104 Davey Laboratory, Pennsylvania State University, University Park, PA 16802, USA;
3 College of Mathematical and Physical Sciences, Anshun University, Anshun 561000, China;
4 Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing Normal University, Nanjing 210023, China

Received:2018-08-18 Revised:2018-10-09 Online:2018-12-05 Published:2018-12-05
Contact: Ming Zhong, Pei-Qing Tong E-mail:mzhong@njnu.edu.cn;pqtong@njnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11575087 and 11175087).

摘要/Abstract

摘要：

We study the entanglement between the internal (coin) and the external (position) degrees of freedom in the dynamic and the static deterministic aperiodic quantum walks (QWs). For the dynamic (static) aperiodic QWs, the coin depends on the time (position) and takes two coins C(α) and C(β) arranged in the two classes of generalized Fibonacci (GF) and the Thue-Morse (TM) sequences. We found that for the dynamic QWs, the entanglement of three kinds of the aperiodic QWs are close to the maximal value, which are all much larger than that of the homogeneous QWs. Further, the first class of GF (1st GF) QWs can achieve the maximum entangled state, which is similar to that of the dynamic disordered QWs. And the entanglement of 1st GF QWs is greater than that of the TM QWs, being followed closely by the entanglement of the second class of GF (2nd GF) QWs. For the static QWs, the entanglement of three kinds of the aperiodic QWs are also close to the maximal value and 1st GF QWs can achieve the maximum entangled state. The entanglement of the TM QWs is between 1st GF QWs and 2nd GF QWs. However, the entanglement of the static disordered QWs is less than that of three kinds of the aperiodic QWs. This is different from those of the dynamic QWs. From these results, we can conclude that the dynamic and static 1st GF QWs can also be considered as maximal entanglement generators.

关键词: quantum walks, quantum entanglement, aperiodic, entanglement production

Abstract:

Key words: quantum walks, quantum entanglement, aperiodic, entanglement production

中图分类号: (Entanglement production and manipulation)

03.67.Bg

03.65.Ud (Entanglement and quantum nonlocality) 61.44.Br (Quasicrystals) 05.40.Fb (Random walks and Levy flights)

刘婷婷, 胡亚运, 赵静, 钟鸣, 童培庆. The entanglement of deterministic aperiodic quantum walks[J]. 中国物理B, 2018, 27(12): 120305-120305.

Ting-Ting Liu(刘婷婷), Ya-Yun Hu(胡亚运), Jing Zhao(赵静), Ming Zhong(钟鸣), Pei-Qing Tong(童培庆). The entanglement of deterministic aperiodic quantum walks[J]. Chin. Phys. B, 2018, 27(12): 120305-120305.

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The entanglement of deterministic aperiodic quantum walks

The entanglement of deterministic aperiodic quantum walks

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