72 citations · 610 across the 64 of their papers we have counts for
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quant-ph2016
Quantum walking in curved spacetime: dimensions, and beyond
Pablo Arrighi, Stefano Facchini
A discrete-time Quantum Walk (QW) is essentially an operator driving the evolution of a single particle on the lattice, through local unitaries. Some QWs admit a continuum limit, l…
cs.DM2016★ 27 cited
Quantum Causal Graph Dynamics
Pablo Arrighi, Simon Martiel
Consider a graph having quantum systems lying at each node. Suppose that the whole thing evolves in discrete time steps, according to a global, unitary causal operator. By causal w…
nlin.CG2016★ 1 cited
Free fall and cellular automata
Pablo Arrighi, Gilles Dowek
Three reasonable hypotheses lead to the thesis that physical phenomena can be described and simulated with cellular automata. In this work, we attempt to describe the motion of a p…