Correlation effects in a discrete quantum random walk
Quantum Physics
2009-07-10 v1
Abstract
We introduce history-dependent discrete-time quantum random walk models by adding uncorrelated memory terms and also by modifying Hamiltonian of the walker to include couplings with memory-keeping agents. We next numerically study the correlation effects in these models. We also propose a correlation exponent as a relevant and promising tool for investigation of correlation or memory (hence non-Markovian) effects. Our analysis can easily be applied to more realistic models in which different regimes may emerge because of competition between different underlying physical mechanisms.
Cite
@article{arxiv.0809.0940,
title = {Correlation effects in a discrete quantum random walk},
author = {J. B. Stang and A. T. Rezakhani and B. C. Sanders},
journal= {arXiv preprint arXiv:0809.0940},
year = {2009}
}
Comments
6 pages, 7 figures