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Control by quantum dynamics on graphs

Godsil, C; Severini, S; (2010) Control by quantum dynamics on graphs. PHYS REV A , 81 (5) , Article 052316. 10.1103/PhysRevA.81.052316.

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Abstract

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 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.

Type: Article
Title: Control by quantum dynamics on graphs
DOI: 10.1103/PhysRevA.81.052316
Keywords: ALGORITHMS, UNIVERSAL, WALKS
UCL classification: UCL > School of BEAMS > Faculty of Engineering Science > Computer Science
URI: http://discovery.ucl.ac.uk/id/eprint/139245
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