Control by quantum dynamics on graphs

Details Control by quantum dynamics on graphs Control by quantum dynamics on graphs

2009-10-28

arxiv.org/abs/0910.5397v3

Phys. Rev. A 81, 052316 (2010)

Physics

Quantum Physics

5 pages, 1 figure

Scientific paper

10.1103/PhysRevA.81.052316

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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