Mülken Oliver, Blumen Alexander
Theoretische Polymerphysik, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg i.Br., Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jan;71(1 Pt 2):016101. doi: 10.1103/PhysRevE.71.016101. Epub 2005 Jan 3.
Continuous time quantum walks (CTQWs) do not necessarily perform better than their classical counterparts, the continuous time random walks (CTRWs). For one special graph, where a recent analysis showed that in a particular direction of propagation the penetration of the graph is faster by CTQWs than by CTRWs, we demonstrate that in another direction of propagation the opposite is true. In this case a CTQW initially localized at one site displays a slow transport. We furthermore show that when the CTQW's initial condition is a totally symmetric superposition of states of equivalent sites, the transport gets to be much more rapid.
连续时间量子游走（CTQWs）并不一定比其经典对应物——连续时间随机游走（CTRWs）表现得更好。对于一个特殊的图，最近的分析表明，在特定的传播方向上，CTQWs对该图的渗透比CTRWs更快，而我们证明在另一个传播方向上情况则相反。在这种情况下，最初定域在一个位点的CTQW显示出缓慢的输运。我们还表明，当CTQW的初始条件是等效位点状态的完全对称叠加时，输运变得快得多。
