Quantum walks on cycles
Quantum walks on cycles
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DOI：
10.1016/j.physleta.2003.08.023
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发表时间：
2003-10-13
影响因子：
2.6
通讯作者：
Wójcik, A
中科院分区：
文献类型：
--
作者：
Bednarska, M;Grudka, A;Wójcik, A
我们考虑了循环上Hadamard游动的渐近性态。对于步行开始的状态，其中所有的概率都集中在一个节点上，我们找到了明确的公式的极限分布，并讨论其渐近行为时，周期的长度趋于无穷大。我们还证明，对于一个精心选择的初始状态，量子行走周期的极限分布可以进一步远离均匀分布比它的初始状态。(C)2003 Elsevier B.V.保留所有权利。
We consider asymptotic behaviour of a Hadamard walk on a cycle. For the walk which starts with a state in which all the probability is concentrated on one node, we find the explicit formula for the limiting distribution and discuss its asymptotic behaviour when the length of the cycle tends to infinity. We also demonstrate that for a carefully chosen initial state, the limiting distribution of a quantum walk on cycle can lie further away from the uniform distribution than its initial state. (C) 2003 Elsevier B.V. All rights reserved.