Non-Unitary Quantum Walks on Hyper-Cycles
Quantum Physics
2007-05-23 v2
Abstract
We present analytical treatment of quantum walks on multidimensional hyper-cycle graphs. We derive the analytical expression of the probability distribution for strong and weak decoherence regimes. Upper bound to mixing time is obtained.
Cite
@article{arxiv.quant-ph/0509078,
title = {Non-Unitary Quantum Walks on Hyper-Cycles},
author = {Dmitry Solenov and Leonid Fedichkin},
journal= {arXiv preprint arXiv:quant-ph/0509078},
year = {2007}
}
Comments
10 pages, 2 figures; upper-bound to mixing time has been improved