A proposal to solve finite-horizon LQG control with block-encoded quantum linear algebra, claiming O(T polylog(n)) runtime under strong assumptions about data access, conditioning, and ignoring output readout.
Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics,
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Quantum Solution Framework for Finite-Horizon LQG Control via Block Encodings and QSVT
A proposal to solve finite-horizon LQG control with block-encoded quantum linear algebra, claiming O(T polylog(n)) runtime under strong assumptions about data access, conditioning, and ignoring output readout.