Continuous-time Quantum Walks on a Cycle Graph
Quantum Physics
2007-05-23 v2 Mesoscale and Nanoscale Physics
Abstract
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.
Cite
@article{arxiv.quant-ph/0506096,
title = {Continuous-time Quantum Walks on a Cycle Graph},
author = {Dmitry Solenov and Leonid Fedichkin},
journal= {arXiv preprint arXiv:quant-ph/0506096},
year = {2007}
}
Comments
Typos corrected