A discrete relativistic spacetime formalism for 1+ 1-QED with continuum limits

K Sellapillay, P Arrighi, G Di Molfetta - Scientific Reports, 2022 - nature.com
We build a quantum cellular automaton (QCA) which coincides with 1+ 1 QED on its known
continuum limits. It consists in a circuit of unitary gates driving the evolution of particles on a …

Gauge-invariance in cellular automata

P Arrighi, G Di Molfetta, N Eon - Natural Computing, 2023 - Springer
Gauge-invariance is a fundamental concept in Physics—known to provide mathematical
justification for the fundamental forces. In this paper, we provide discrete counterparts to the …

Universal gauge-invariant cellular automata

P Arrighi, M Costes, N Eon - arXiv preprint arXiv:2102.06912, 2021 - arxiv.org
Gauge symmetries play a fundamental role in Physics, as they provide a mathematical
justification for the fundamental forces. Usually, one starts from a non-interactive theory …