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Can today's quantum computers actually solve physics equations?

Hyeongjin Kim, Revathi Jambunathan, Jan Balewski, Daan Camps

May 29, 2026

Three classic physics equations — advection, wave, and Poisson — were solved end-to-end on IBM quantum processors using a technique called quantum signal processing. The circuits handle frequency-domain dynamics and were tested against both simulators and real hardware, showing that the more sophisticated QSP approach holds up under realistic noise. The team also tackled non-uniform boundary conditions using inputs from plasma physics simulations, pushing the method toward practical problems.
Published as Quantum Signal Processing for Linear PDEs: Circuit Design and Experimental Validation arXiv:2606.00368
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