3 papers
cs.FL2019
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…
quant-ph2019
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…
cs.FL2018
A gauge-invariant reversible cellular automaton
Pablo Arrighi, Giuseppe Di Molfetta, Nathanaël Eon
Gauge-invariance is a fundamental concept in physics---known to provide the mathematical justification for all four fundamental forces. In this paper, we provide discrete counterpa…