The Random Walk in Generalized Quantum Theory
arXiv:gr-qc/0403085 · doi:10.1103/PhysRevD.71.024029
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.
25 pages, no figures