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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
Trotter-based quantum algorithm for solving transport equations with exponentially fewer time-steps
Julien Zylberman, Thibault Fredon, Nuno F. Loureiro +1
The extent to which quantum computers can simulate physical phenomena and solve the partial differential equations (PDEs) that govern them remains a central open question. In this…