44 citations · 93 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
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…
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…