量子行走到经典行走的连续调控

doi:10.3969/j.issn.1007-5461.2023.06.011

量子电子学报 ›› 2023, Vol. 40 ›› Issue (6): 917-923.doi: 10.3969/j.issn.1007-5461.2023.06.011

量子行走到经典行走的连续调控

陈斌 1#, 陈天豪 2#, 张融 1*

( 1 南京邮电大学电子与光学工程学院, 江苏南京 210023; 2 南京邮电大学贝尔英才学院, 江苏南京 210023 )

收稿日期:2022-01-22 修回日期:2022-04-19 出版日期:2023-11-28 发布日期:2023-11-28
通讯作者: zhangr_nj@163.com E-mail:zhangr_nj@163.com
作者简介:陈斌 ( 1996 - ), 江苏泰州人, 研究生, 主要从事量子通信和量子计算方面的研究。E-mail: chenb15321101@163.com; 陈天豪 ( 2000 - ), 江苏南京人, 研究生, 主要从事量子信息方面的研究。E-mail: q19010310@njupt.edu.cn
基金资助:
国家自然科学青年科学基金 (11705096)

Continuous regulation from quantum walk to classical walk

CHEN Bin1# , CHEN Tianhao2# , ZHANG Rong 1*

( 1 College of Electronic and Optical Engineering, Nanjing University of Posts and Telecommunication, Nanjing 210023, China; 2 Bell Honors School, Nanjing University of Posts and Telecommunications, Nanjing 210023, China )

Received:2022-01-22 Revised:2022-04-19 Published:2023-11-28 Online:2023-11-28

摘要/Abstract

摘要： 为深入认识微观粒子的波粒二象性, 探索波态和粒子态之间的转变并制备多路径波态和粒子态的共存状态, 提出了通过引入量子控制实现量子行走中波态和粒子态之间的连续调控的理论方案, 并分别计算了量子行走的位置分布及方差随着辅助比特系数的变化情况。计算结果表明量子调控使得行走者不仅可以处于粒子和波的混合态, 还能处于相干叠加态。波态和粒子态之间的连续调控通过相干和混合方式的位置方差展示，, 并且给出了混合态和相干态两种调控方式的差异。量子行走为深入研究微观粒子的波粒二象性提供了一个实用的平台。

关键词: 量子光学, 量子行走, 量子调控, 相干叠加

Abstract: In order to deeply understand the wave particle duality of microscopic particles, explore the transitions between wave state and particle state, and prepare the coexistence states of multi-path wave state and particle state, a theoretical scheme to realize the continuous transition from wave- to particlestate in quantum walks by introducing quantum control is proposed. The variation of the position distribution and variance of quantum walks with auxiliary bit coefficients is calculated respectively. It is shown that quantum control can make the walker not only in the mixed state of wave and particle, but also in the coherent superposition state. The continuous morphing from wave state to particle state is displayed by the position variance in both the coherent way and the mixed way, and the difference between the mixed state control and the coherent state control is also demonstrated. Quantum walks provide a useful platform for in-depth study on the wave-particle duality of microscopic particles.

Key words: quantum optics, quantum walks, quantum control, coherent superposition

中图分类号:

O431.2

陈斌 #, 陈天豪 #, 张融 . 量子行走到经典行走的连续调控[J]. 量子电子学报, 2023, 40(6): 917-923.

CHEN Bin# , CHEN Tianhao# , ZHANG Rong . Continuous regulation from quantum walk to classical walk[J]. Chinese Journal of Quantum Electronics, 2023, 40(6): 917-923.

参考文献

[1]Motwani R, Raghavan P.Randomized algorithms [M]. Cambridge university press, 1995.
[2]Aharonov Y, Davidovich L, Zagury N.Quantum random walks[J].Physical Review A, 1993, 48(2):1687-1690
[3]Guillotin-Plantard N, Schott R.Dynamic random walks: Theory and applications [M]. Elsevier, 2006.
[4]Childs A M.Universal computation by quantum walk[J].Physical Review Letters, 2009, 102(18):180501-
[5]Venegas-Andraca S E .Quantum walks: a comprehensive review[J].Quantum Information Processing, 2012, 11(5):1015-1106
[6]Ambainis A.Quantum walks and their algorithmic applications[J].International Journal of Quantum Information, 2003, 1(04):507-518
[7]Childs A M, Cleve R, Deotto E, et al.Exponential algorithmic speedup by a quantum walk [C] //Proceedings of the thirty-fifth annual ACM symposium on Theory of computing. 2003: 59-68.
[8]Shenvi N, Kempe J, Whaley K B.Quantum random-walk search algorithm[J].Physical Review A, 2003, 67(5):052307-
[9]Shantanav, Chakraborty, Leonardo, et al..Spatial search by quantum walk is optimal for almost all graphs[J].Physical review letters, 2016, 116(10):100501-
[10]Karski M, F?rster L, Choi J M, et al.Quantum walk in position space with single optically trapped atoms[J].Science, 2009, 325(5937):174-177
[11]Schmitz H, Matjeschk R, Schneider C, et al.Quantum walk of a trapped ion in phase space[J].Physical review letters, 2009, 103(9):090504-
[12]Sansoni L, Sciarrino F, Vallone G, et al.Two-particle bosonic-fermionic quantum walk via integrated photonics[J].Physical review letters, 2012, 108(1):010502-
[13]Ionicioiu R, Terno D R.Proposal for a quantum delayed-choice experiment[J].Physical Review Letters, 2011, 107(23):230406-
[14]Peruzzo A, Shadbolt P, Brunner N, et al.A quantum delayed-choice experiment[J].Science, 2012, 338(6107):634-637
[15]Tang J S, Li Y L, Xu X Y, et al.Realization of quantum Wheeler's delayed-choice experiment[J].Nature Photonics, 2012, 6(9):600-604
[16]Xue P, Sanders B C.Controlling and reversing the transition from classical diffusive to quantum ballistic transport in a quantum walk by driving the coin[J].Physical Review A, 2013, 87(2):022334-
[17]Brun T A, Carteret H A, Ambainis A.Quantum to classical transition for random walks[J].Physical review letters, 2003, 91(13):130602-
[18]Kendon V, Sanders B C.Complementarity and quantum walks[J].Physical Review A, 2005, 71(2):022307-
[19]Schreiber A, Cassemiro K N, Poto?ek V, et al.Decoherence and disorder in quantum walks: from ballistic spread to localization[J].Physical review letters, 2011, 106(18):180403-
[20]Arapat Ablimit, YANG Fan, Dildar Hitjan, Aynisa Yasin, BAI Huiting, Aziza Abdukerim, Ahmad Abliz.Quantum coherence evolution of Heisenberg XXZ spin chain within non-Markovian environment[J].Chinese Journal of Quantum Electronics, 2021, 38(3):341-345
[21]阿拉帕提·阿不力米提, 杨帆, 迪丽达尔·海依提江, 阿依尼沙·牙生, 白慧婷, 艾则孜姑丽·阿不都克热木, 艾合买提·阿不力孜.非马尔科夫环境中海森堡自旋链的量子相干演化特性[J].量子电子学报, 2021, 38(3):341-345
[22]GAO Deying, LI Ning.Dynamics and conservation of quantum coherence in a two-body system[J].Chinese Journal of Quantum Electronics, 2021, 38(4):444-453
[23]高德营, 李宁.两体系统量子相干性的动力学和守恒[J].量子电子学报, 2021, 38(4):444-453

量子行走到经典行走的连续调控

Continuous regulation from quantum walk to classical walk

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	格日乐萨楚尔夫格根图雅宫艳丽. 玻色爱因斯坦凝聚与光场作用的保真度[J]. 量子电子学报, 2024, 41(1): 95-102.
[2]	刘学铭陈永聪敖平. 热噪声环境下的量子调控优化[J]. 量子电子学报, 2024, 41(1): 103-112.
[3]	曾妙娜, 杨名, . 基于量子行走的确定性远程光子态交换[J]. 量子电子学报, 2023, 40(6): 924-932.
[4]	朱孟正 , 苏梦远 , 公丕锋 , 张金锋 . 空间纠缠协助下对低纠缠 GHZ 态的确定性纠缠纯化[J]. 量子电子学报, 2023, 40(6): 943-951.
[5]	张宝林, 马子晓, 黄垚, 管桦, 高克林 . 锁定参数与光钟稳定度关系的研究[J]. 量子电子学报, 2023, 40(5): 694-699.
[6]	车浩, 李安, 覃方君, 黄春福. 冷原子干涉动态重力测量中的噪声与系统效应分析[J]. 量子电子学报, 2023, 40(5): 700-711.
[7]	陈骊颖, 黄堃, 王琪, 闫仕农 . 基于金刚石NV色心集成振动检测模块的设计[J]. 量子电子学报, 2023, 40(4): 500-509.
[8]	摆海龙, 白金海, 胡栋, 王宇. 用于原子干涉重力仪的小型频率合成器设计与实现[J]. 量子电子学报, 2023, 40(4): 510-518.
[9]	李嵩松. 玻色-爱因斯坦凝聚体中三体和四体相互作用对自旋压缩和量子纠缠的影响研究[J]. 量子电子学报, 2023, 40(4): 519-527.
[10]	李艳, . 一维强相互作用的玻色-费米混合气体关联特性研究[J]. 量子电子学报, 2023, 40(4): 528-540.
[11]	王晟, 方晓明, 林昱, 张天兵, 冯宝, 余杨, 王乐 . 四强度诱骗态相位匹配量子密钥分发协议[J]. 量子电子学报, 2023, 40(4): 541-545.
[12]	孙一石, 孙弋 . 基于BP 神经网络的经典-量子信号共纤同传系统参数预测[J]. 量子电子学报, 2023, 40(4): 546-559.
[13]	戚志明, 梁文耀 . 光束偏振对全息干涉制作复式光子晶体的影响研究[J]. 量子电子学报, 2023, 40(4): 447-457.
[14]	何业锋, 李丽娜∗, 白倩, 陈思昊, 强雨薇 . 标记单光子源下探测器死时间的量子密钥分配[J]. 量子电子学报, 2023, 40(1): 112-119.
[15]	谈志杰杨海瑞喻虹韩申生. X光强度关联衍射成像技术研究进展[J]. 量子电子学报, 2022, 39(6): 851-862.