The Random Walk in Generalized Quantum Theory
General Relativity and Quantum Cosmology
2009-11-10 v2 High Energy Physics - Theory
Quantum Physics
Abstract
One can view quantum mechanics as a generalization of classical probability theory that provides for pairwise interference among alternatives. Adopting this perspective, we ``quantize'' the classical random walk by finding, subject to a certain condition of ``strong positivity'', the most general Markovian, translationally invariant ``decoherence functional'' with nearest neighbor transitions.
Cite
@article{arxiv.gr-qc/0403085,
title = {The Random Walk in Generalized Quantum Theory},
author = {Xavier Martin and Denjoe O'Connor and R. D. Sorkin},
journal= {arXiv preprint arXiv:gr-qc/0403085},
year = {2009}
}
Comments
25 pages, no figures