output
20092024
most citedCompetition between collective and individual dynamics

130 citations

Showing quant-phShow all

6 papers · 1 filter

quant-ph2019★ 8 cited

Quantum simulation of quantum relativistic diffusion via quantum walks

Pablo Arnault, Adrian Macquet, Andreu Anglés-Castillo +6

Two models are first presented, of one-dimensional discrete-time quantum walk (DTQW) with temporal noise on the internal degree of freedom (i.e., the coin): (i) a model with both a…

quant-ph2019★ 26 cited

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…

quant-ph2019★ 1 cited

An overview of Quantum Cellular Automata

Pablo Arrighi

Quantum cellular automata consist in arrays of identical finite-dimensional quantum systems, evolving in discrete-time steps by iterating a unitary operator G. Moreover the global…

quant-ph2018★ 14 cited

Discrete-time quantum walks as fermions of lattice gauge theory

Pablo Arnault, Armando Pérez, Pablo Arrighi +1

It is shown that discrete-time quantum walks can be used to digitize, i.e., to time discretize fermionic models of continuous-time lattice gauge theory. The resulting discrete-time…

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…

quant-ph2009★ 6 cited

Bounds on the Speedup in Quantum signalling

Pablo Arrighi, Vincent Nesme, Reinhard Werner

Given a discrete reversible dynamics, we can define a quantum dynamics, which acts on basis states like the classical one, but also allows for superpositions of them. It is a curio…