activity
19982022
most citedThe Dirac equation as a quantum walk over the honeycomb and triangular lattices

44 citations · 126 across the 8 of their papers we have counts for

collaborators

8 papers

quant-ph2022★ 1 cited

Quantum circuits for discrete-time quantum walks with position-dependent coin operator

Ugo Nzongani, Julien Zylberman, Carlo-Elia Doncecchi +3

The aim of this paper is to build quantum circuits that implement discrete-time quantum walks having an arbitrary position-dependent coin operator. The position of the walker is en…

quant-ph2018★ 20 cited

From curved spacetime to spacetime-dependent local unitaries over the honeycomb and triangular Quantum Walks

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

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

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-ph2016★ 21 cited

Fermion confinement via Quantum Walks in 2D+1 and 3D+1 spacetime

I. Marquez-Martin, G. Di Molfetta, A. Perez

We analyze the properties of a two and three dimensional quantum walk that are inspired by the idea of a brane-world model put forward by Rubakov and Shaposhnikov [1]. In that mode…

quant-ph2016

Mimicking spatial localization in dynamical random environment

Ivan Marquez-Martin, Giuseppe Di Molfetta, Armando Perez

We study the role played by noise on the QW introduced in [1], a 1D model that is inspired by a two particle interacting QW. The noise is introduced by a random change in the value…

quant-ph2015★ 17 cited

Asymptotic properties of the Dirac quantum cellular automaton

A. Pérez

We show that the Dirac quantum cellular automaton [Ann. Phys. 354 (2015) 244] shares many properties in common with the discrete-time quantum walk. These similarities can be exploi…

quant-ph2009★ 8 cited

Information of a qubit interacting with a multilevel environment

A. Perez

We consider the interaction of a small quantum system (a qubit) with a structured environment consisting on many levels. The qubit will experience a decoherence process, which impl…

hep-ph1998★ 15 cited

Screening effects in Relativistic Models of Dense Matter at Finite Temperature

Joaquin Diaz-Alonso, Armando Perez, Horacio D. Sivak

We investigate screening effects of the medium on the potential interaction between two static 'charges' for different models of dense plasmas in the one-boson exchange approximati…