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The Random Walk in Generalized Quantum Theory

Xavier Martin·Denjoe O'Connor·R. D. Sorkin
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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.

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Xavier Martin, Denjoe O'Connor, R. D. Sorkin. 2004-06-17. The Random Walk in Generalized Quantum Theory. https://doi.org/10.1103/physrevd.71.024029

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