We introduce a state-based feedback law that stabilizes quantum states or subspaces associated with extremal values of a continuously monitored observable - a problem motivated by quantum cooling tasks. We then propose an output-based approximation that uses simple filtering of the measurement record to emulate the required feedback signal, thereby avoiding full real-time quantum state estimation, a key bottleneck for implementing and scaling filtering-based feedback control. The performance of the resulting strategy is demonstrated numerically on two test-bed models for feedback cooling.
@article{arxiv.2603.06370,
title = {Quantum Feedback Cooling without State Filtering},
author = {Lorenzo Franceschetti and Francesco Ticozzi},
journal= {arXiv preprint arXiv:2603.06370},
year = {2026}
}