2 citations · 3 across the 4 of their papers we have counts for
4 papers
Quantum algorithm for anisotropic diffusion and convection equations with vector norm scaling
Julien Zylberman, Thibault Fredon, Nuno F. Loureiro +1
In this work, we tackle the resolution of partial differential equations (PDEs) on digital quantum computers. Two fundamental PDEs are addressed: the anisotropic diffusion equation…
Space-Time from quantum Physics
Fabrice Debbasch
A construction of the real 4D Minkowski space-time starting from quantum harmonic oscillators is proposed. First, a 2D spinor space and its dual are derived from the standard commu…
Simulating Non Commutative Geometry with Quantum Walks
Fabrice Debbasch
Non Commutative Geometry (NCG) is considered in the context of a charged particle moving in a uniform magnetic field. The classical and quantum mechanical treatments are revisited…
Discrete-time Quantum Walks in random artificial Gauge Fields
G. Di Molfetta, F. Debbasch
Discrete-time quantum walks (DTQWs) in random artificial electric and gravitational fields are studied analytically and numerically. The analytical computations are carried by a ne…