Abstract
Quantum random walks, whose amplitude evolutions are given by generalizations of discrete versions of Schrödinger and Dirac equations, are constructed. The results are given in three dimensions and it is shown that they cannot be reduced to stochastically independent one-dimensional motions. Properties of these quantum random walks are analyzed and expressions for their characteristic functions and free propagators are derived.
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References
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Gudder, S. Schrödinger and Dirac quantum random walks. Int J Theor Phys 31, 1973–1991 (1992). https://doi.org/10.1007/BF00671967
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DOI: https://doi.org/10.1007/BF00671967