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quant-ph2026
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…
quant-ph2020★ 1 cited
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…
quant-ph2014★ 2 cited
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…