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山东大学学报(理学版) ›› 2016, Vol. 51 ›› Issue (5): 61-66.doi: 10.6040/j.issn.1671-9352.0.2015.237

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基于量子行走的局域与离域化控制及实验方案

任春年,高剑*   

  1. 青岛科技大学信息科学技术学院, 山东 青岛 266061
  • 收稿日期:2015-05-20 出版日期:2016-05-20 发布日期:2016-05-16
  • 通讯作者: 高剑(1978— ),男,博士,副教授,研究方向为计算数学与量子计算.E-mail:yquqing@163.com E-mail:scienceren@yeah.net
  • 作者简介:任春年(1976— ),男,博士,讲师,研究方向为量子信息学.E-mail:scienceren@yeah.net
  • 基金资助:
    国家自然科学基金资助项目(61303193);山东省教育厅基金项目(J15LN38)

A theory research and experiment scheme on enable-control Anderson localization and delocalization based on quantum walk

REN Chun-nian, GAO Jian*   

  1. College of Information Science and Technology, Qingdao University of Science and Technology, Qingdao 266061, Shandong, China
  • Received:2015-05-20 Online:2016-05-20 Published:2016-05-16

摘要: 在现有的量子行走实验基础上,进一步提出了在二维量子行走物理装置中的局域化和离域化控制的方案。通过对一维和二维局域化与离域化控制的实验方案的理论分析,引入参数可调的普适投币算符,导出了一般化的量子行走的计算结果,依据理论结果提出了基于集成光波导和光纤装置的可控的安德森效应实验方案。数值仿真实验结果表明量子行走受到电控偏振器控制而出现局域化和离域化现象,验证了所提出设计方案的合理性。

关键词: 量子行走, 普适投币算符, 量子仿真, 安德森局域化

Abstract: A controllable scheme of the Anderson localization and delocalization that is based on the existing experiment of quantum walk is proposed. By the introduction of the adjustable parameters general coin and calculation results, the theory of one and two dimensional control experimental schemes are analyzed. Based on the theoretical results, an integrated optical waveguide and optical fiber devices with controllable Anderson effect experiment scheme is designed. The numerical simulation results show that the localization and delocalization is controlled by electronic polarizer and the rationality of the proposed scheme.

Key words: quantum walk, Anderson localization, universal operator, quantum simulator

中图分类号: 

  • O431.2
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