Continuous-time Quantum Walks on a Cycle Graph

Details Continuous-time Quantum Walks on a Cycle Graph Continuous-time Quantum Walks on a Cycle Graph

2005-06-13

arxiv.org/abs/quant-ph/0506096v2

Phys. Rev. A 73, 012313 (2006)

Physics

Quantum Physics

Typos corrected

Scientific paper

10.1103/PhysRevA.73.012313

We present 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 nearby quantum point contact. We derive the analytical expression of the probability distribution along the cycle. Upper bound estimate to mixing time is shown.

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