Preprint
Sep 2026
Near-Optimal Quantum Algorithm and Complexity Analysis for Riccati Problems
We develop quantum algorithms that construct block-encodings of solution matrices for continuous- and discrete-time algebraic Riccati equations (CAREs and DAREs), differential Riccati equations (DREs), and finite Riccati recursions. The Quantum Weighted Riesz Method, unifying four kinds of Riccati problems, constructs...
Jing-Yao Wang, Yan-Qiao Wang, Bo-Wen Li et al.
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