Author

Jun-Peng Hu

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Preprint Aug 2026

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws

A quantum algorithm is constructed and an explicit gate-level implementation for solving scalar conservation laws is provided, demonstrating a quantum advantage for observable estimation in sufficiently high spatial dimensions, under standard assumptions on state preparation and oracle access.

Kezhen Wang, Jun-Peng Hu, Lei Zhang · 0 citations