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quant-ph2026
Model-Free Quantum Stabilization via Finite-Difference Lyapunov Control
Robert Vrabel
We develop a model-free framework for stabilizing quantum states using only empirical finite-difference evaluations of a measurement-derived Lyapunov observable. The controller req…
math.OC2026
Determinant Dynamics under Low-Rank Perturbations: A Unified Framework for Singular Systems
Robert Vrabel
This paper develops a unified analytical framework for determinant identities under finite-rank perturbations of square matrices that remains valid without invertibility assumption…