72 citations · 610 across the 64 of their papers we have counts for
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quant-ph2013★ 21 cited
Decoupled Quantum Walks, models of the Klein-Gordon and wave equations
Pablo Arrighi, Stefano Facchini
Decoupling a vectorial PDE consists in solving the system for each component, thereby obtaining scalar PDEs that prescribe the evolution of each component independently. We present…
quant-ph2013★ 72 cited
The Dirac equation as a quantum walk: higher dimensions, observational convergence
Pablo Arrighi, Marcelo Forets, Vincent Nesme
The Dirac equation can be modelled as a quantum walk, with the quantum walk being: discrete in time and space (i.e. a unitary evolution of the wave-function of a particle on a latt…