Continuous-time quantum walks on the threshold network model
Continuous-time quantum walks on the threshold network model
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DOI：
10.1017/s0960129510000381
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发表时间：
2010-02
影响因子：
0.5
通讯作者：
Yusuke Ide;N. Konno
中科院分区：
文献类型：
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作者：
Yusuke Ide;N. Konno
众所周知，许多真实的世界网络具有幂律度分布（无标度特性）。然而，在这种现实图上的连续时间量子行走还没有严格的结果。本文在具有无标度性质的阈值网络模型上分析了连续时间量子游动和随机游动的时空行为。我们表明，量子步行者在起点表现出本地化，虽然随机步行者往往均匀分布。
It is well known that many real world networks have a power-law degree distribution (the scale-free property). However, there are no rigorous results for continuous-time quantum walks on such realistic graphs. In this paper, we analyse the space–time behaviour of continuous-time quantum walks and random walks on the threshold network model, which is a reasonable candidate model having the scale-free property. We show that the quantum walker exhibits localisation at the starting point, although the random walker tends to spread uniformly.