92 citations · 397 across the 24 of their papers we have counts for
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quant-ph2013★ 92 cited
Quantum Walks in artificial electric and gravitational Fields
Giuseppe Di Molfetta, Marc Brachet, Fabrice Debbasch
The continuous limit of quantum walks (QWs) on the line is revisited through a recently developed method. In all cases but one, the limit coincides with the dynamics of a Dirac fer…
quant-ph2013
Propagation in quantum walks and relativistic diffusions
Fabrice Debbasch, Giuseppe Di Molfetta, David Espaze +1
Propagation in quantum walks is revisited by showing that very general 1D discrete-time quantum walks with time- and space-dependent coefficients can be described, at the continuou…