Develops quantum algorithms for Riccati equations with near-optimal query complexity. Unifies four problem types via Quantum Weighted Riesz Method; establishes matching upper/lower bounds and proves BQP-hardness for solution encodings.

Develops quantum algorithms for Riccati equations with near-optimal query complexity. Unifies four problem types via Quantum Weighted Riesz Method; establishes matching upper/lower bounds and proves BQP-hardness for solution encodings.