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benchmarking 1heat equation 1partial differential equations 1quantum algorithms 1quantum simulation 1

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quant-ph2026

Quantum PDE Solvers in Practice: Application-Driven Benchmarking of the Heat Equation

Mahmoud Elkarargy, Abdelaziz Rahwan, Abdelrahman Elsayed +1

The paper introduces a reproducible benchmark for solving the 1‑D Dirichlet heat equation on quantum computers, comparing eleven different quantum PDE solver kernels across various…