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一维量子随机行走回归概率的计算

发表时间:2014-02-15  浏览量:2113  下载量:716
全部作者: 张晓琨,魏晨阳,徐新平
作者单位: 苏州大学物理科学与技术学院
摘 要: 研究一维直线上离散时间量子随机行走的回归概率。利用定相积分近似(stationary phase approximation, SPA)方法,首次推导了回归概率的近似解析表达式。计算结果表明:一维直线上离散时间量子随机行走的回归概率呈现出标度指数为-1的标度行为,其标度指数是对应经典随机行走标度指数的2倍,表明量子随机行走的回归概率具有更快的衰减行为。并且讨论了“硬币”参数和初态参数对回归概率标度行为的影响,发现标度指数与“硬币”参数和初态参数无关。
关 键 词: 理论物理学;统计物理与复杂系统;随机行走;量子随机行走;复杂网络
Title: Return probability of one-dimensional quantum random walk
Author: ZHANG Xiaokun, WEI Chenyang, XU Xinping
Organization: School of Physical Science and Technology, Soochow University
Abstract: In this paper, we investigate the return probability for discrete-time quantum random walk on the line. Using the stationary phase approximation (SPA), we derive approximate analytical expression of return probability for the first time. It is found that the return probability of one-dimensional quantum walk exhibits a power law behavior with exponent -1, where the exponent is twice the exponent of the corresponding classical random walk, indicating that the quantum walk displays a faster decay behavior. In addition, the effect of “coin” and initial state parameters on the return probability is discussed, and it is evident that the “coin” and initial state parameters of quantum walk has no influence on the scaling behavior of the return probablity.
Key words: theoretical physics; statistical physics and complex system; random walk; quantum random walk; complex network
发表期数: 2014年2月第3期
引用格式: 张晓琨,魏晨阳,徐新平. 一维量子随机行走回归概率的计算[J]. 中国科技论文在线精品论文,2014,7(3):273-276.
 
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