Continuous-time quantum walks on a cycle graph
Dmitry Solenov, Leonid Evgenevich Fedichkin · Physical Review A · 2006
We present an analytical treatment of quantum walks on a cycle graph. The investigation is based on a realistic physical model of the graph in which decoherence is induced by continuous monitoring of each graph vertex with a nearby quantum point contact. We derive an analytical expression of the probability distribution along the cycle. An upper-bound estimate to the mixing time is shown.