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quant-ph2025
Quantum Homotopy Algorithm for Solving Nonlinear PDEs and Flow Problems
Sachin S. Bharadwaj, Balasubramanya Nadiga, Stephan Eidenbenz +1
Quantum algorithms to integrate nonlinear PDEs governing flow problems are challenging to discover but critical to enhancing the practical usefulness of quantum computing. We prese…
quant-ph2024
Limitations for Quantum Algorithms to Solve Turbulent and Chaotic Systems
Dylan Lewis, Stephan Eidenbenz, Balasubramanya Nadiga +1
We investigate the limitations of quantum computers for solving nonlinear dynamical systems. In particular, we tighten the worst-case bounds of the quantum Carleman linearisation (…