The Random Walk in Generalized Quantum Theory

Details The Random Walk in Generalized Quantum Theory The Random Walk in Generalized Quantum Theory

2004-03-19

arxiv.org/abs/gr-qc/0403085v2

Phys.Rev. D71 (2005) 024029

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, no figures

Scientific paper

10.1103/PhysRevD.71.024029

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.

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