output
20182022
most citedThe Dirac equation as a quantum walk over the honeycomb and triangular lattices

44 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

7 papers

quant-ph2022★ 3 cited

Quantum spatial search with electric potential : long-time dynamics and robustness to noise

Thibault Fredon, Julien Zylberman, Pablo Arnault +1

We present various results on the scheme introduced , which is a quantum spatial-search algorithm on a two-dimensional (2D) square spatial grid, realized with a 2D Dirac discrete-t…

quant-ph2022★ 18 cited

Strong Simulation of Linear Optical Processes

Nicolas Heurtel, Shane Mansfield, Jean Senellart +1

In this paper, we provide an algorithm and general framework for the simulation of photons passing through linear optical interferometers. Given photons at the input of an -…

quant-ph2021★ 2 cited

Quantum networks theory

Pablo Arrighi, Amélia Durbec, Matt Wilson

The formalism of quantum theory over discrete systems is extended in two significant ways. First, quantum evolutions are generalized to act over entire network configurations, so t…

quant-ph2021★ 3 cited

Clifford algebra from quantum automata and unitary Wilson fermions

Pablo Arnault

We introduce a spacetime discretization of the Dirac equation that has the form of a quantum automaton and that is invariant upon changing the representation of the Clifford algebr…

cs.FL2020★ 2 cited

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…

quant-ph2019★ 44 cited

A quantum cellular automaton for one-dimensional QED

Pablo Arrighi, Cédric Bény, Terry Farrelly

We propose a discrete spacetime formulation of quantum electrodynamics in one-dimension (a.k.a the Schwinger model) in terms of quantum cellular automata, i.e. translationally inva…

quant-ph2018★ 44 cited

The Dirac equation as a quantum walk over the honeycomb and triangular lattices

Pablo Arrighi, Giuseppe Di Molfetta, Iván Márquez-Martín +1

A discrete-time Quantum Walk (QW) is essentially an operator driving the evolution of a single particle on the lattice, through local unitaries. Some QWs admit a continuum limit, l…