7 papers
Growing Random Graphs with Quantum Rules
Hamza Jnane, Giuseppe Di Molfetta, Filippo M. Miatto
Random graphs are a central element of the study of complex dynamical networks such as the internet, the brain, or socioeconomic phenomena. New methods to generate random graphs ca…
Proceedings 9th International Conference on Quantum Simulation and Quantum Walks
Giuseppe Di Molfetta, Vivien Kendon, Yutaka Shikano
This volume contains a selection of papers presented at the 9th in a series of international conferences on Quantum Simulation and Quantum Walks (QSQW). During this event, we worke…
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…