9 citations · 11 across the 5 of their papers we have counts for
4 papers · 1 filter
Non-Abelian Gauge-Invariant Cellular Automata
Pablo Arrighi, Giuseppe Di Molfetta, Nathanaël Eon
Gauge-invariance is a mathematical concept that has profound implications in Physics---as it provides the justification of the fundamental interactions. It was recently adapted to…
The Grover search as a naturally occurring phenomenon
Mathieu Roget, Stéphane Guillet, Pablo Arrighi +1
We provide first evidence that under certain conditions, 1/2-spin fermions may naturally behave like a Grover search, looking for topological defects in a material. The theoretical…
Multiple transitions between normal and hyperballistic diffusion in quantum walks with time-dependent jumps
Marcelo A. Pires, Giuseppe Di Molfetta, Sílvio M. Duarte Queirós
We extend to the gamut of functional forms of the probability distribution of the time-dependent step-length a previous model dubbed Elephant Quantum Walk, which considers a unifor…
Dynamical Triangulation Induced by Quantum Walk
Quentin Aristote, Nathanaël Eon, Giuseppe Di Molfetta
We present the single-particle sector of a quantum cellular automaton, namely a quantum walk, on a simple dynamical triangulated manifold. The triangulation is changed through…