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arXiv 0910.5397quant-phmath.COmath.GR
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图的量子动力学控制

Control by quantum dynamics on graphs

Chris Godsil, Simone Severini

摘要:

研究了由图的邻接矩阵生成动力学李代数的封闭量子系统的能控性。我们刻画了一个大的图形,使系统可控的家庭。关键属性是一个新的图论特征,由一个特别无序的循环结构组成。忽略控制函数的效率,但选择稀疏图的子族,结果转化为连续时间量子行走的通用计算。

英文摘要:

We address the study of controllability of a closed quantum system whose dynamical Lie algebra is generated by adjacency matrices of graphs. We characterize a large family of graphs that renders a system controllable. The key property is a novel graph-theoretic feature consisting of a particularly disordered cycle structure. Disregarding efficiency of control functions, but choosing subfamilies of sparse graphs, the results translate into continuous-time quantum walks for universal computation.

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