Variational Quantum Framework for Nonlinear PDE Constrained Optimization Using Carleman Linearization

Abeynaya Gnanasekaran, Amit Surana, Hongyu Zhu · 2025 · DOI 10.2478/qic-2025-0014.url:

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quant-ph · 2026-07-09 · conditional · novelty 6.5

LCNU loading plus multigrid-warmed VQLS solves Carleman-linearized 1D Burgers on quantum hardware/simulators, with circuits scaling to 2^80 points.

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A Scalable Approach to Solve the Carleman Linearized Burgers' Equation on a Quantum Computer quant-ph · 2026-07-09 · conditional · none · ref 19
LCNU loading plus multigrid-warmed VQLS solves Carleman-linearized 1D Burgers on quantum hardware/simulators, with circuits scaling to 2^80 points.