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A discrete-time Quantum Walk (QW) is essentially an operator driving the evolution of a single particle on the lattice, through local unitaries.
Representations of Dirac equation in general relativity
CG De Oliveira and J Tiomno · 1962
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R. P. Feynman · 1982
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Lattice Boltzmann equation for quantum mechanics
Sauro Succi and Roberto Benzi · 1993
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Weyl, Dirac, and Maxwell equations on a lattice as unitary cellular automata
I. Bialynicki-Birula · 1994
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D. A. Meyer · 1996
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S. Lloyd · 2005
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Frederick W Strauch · 2006
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Sagemath worksheet, 2015
P. Arrighi, S. Facchini, and M. Forets · 2015
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