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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-ph2025★ 2 cited
A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics
Efstratios Koukoutsis, George Vahala, Min Soe +3
Simulating nonlinear classical dynamics on a quantum computer is an inherently challenging task due to the linear operator formulation of quantum mechanics. In this work, we provid…
quant-ph2024★ 2 cited
Quantum implementation of non-unitary operations with biorthogonal representations
Efstratios Koukoutsis, Panagiotis Papagiannis, Kyriakos Hizanidis +5
Motivated by the contemporary advances in quantum implementation of non-unitary operations, we propose a new dilation method based on the biorthogonal representation of the non-uni…