15 citations · 40 across the 6 of their papers we have counts for
6 papers
Dirac quantum walk on tetrahedra
Ugo Nzongani, Nathanaël Eon, Iván Márquez-Martín +3
Discrete-time Quantum Walks (QWs) are transportation models of single quantum particles over a lattice. Their evolution is driven through causal and local unitary operators. QWs ar…
A relativistic discrete spacetime formulation of 3+1 QED
Nathanaël Eon, Giuseppe Di Molfetta, Giuseppe Magnifico +1
This work provides a relativistic, digital quantum simulation scheme for both and dimensional quantum electrodynamics (QED), based on a discrete spacetime formulation o…
Gauge-invariance in cellular automata
Pablo Arrighi, Giuseppe Di Molfetta, Nathanaël Eon
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 t…
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…
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…
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…