Quantum-Limited Mirror-Motion Estimation
Kohjiro Iwasawa, Kenzo Makino, Hidehiro Yonezawa, Mankei Tsang,, Aleksandar Davidovic, Elanor Huntington, and Akira Furusawa

TL;DR
This paper demonstrates near-quantum-limited optomechanical measurements of mirror motion and force, showing quantum enhancements with squeezed states and achieving sensitivities close to fundamental quantum bounds.
Contribution
The study experimentally achieves quantum-limited motion and force estimation, demonstrating quantum enhancements with squeezed states and advanced measurement techniques.
Findings
Quantum-limited measurement near QCRBs with coherent states
Quantum enhancement with phase-squeezed states
Close to fundamental quantum bounds in estimation accuracy
Abstract
We experimentally demonstrate optomechanical motion and force measurements near the quantum precision limits set by the quantum Cram\'er-Rao bounds (QCRBs). Optical beams in coherent and phase-squeezed states are used to measure the motion of a mirror under an external stochastic force. Utilizing optical phase tracking and quantum smoothing techniques, we achieve position, momentum, and force estimation accuracies close to the QCRBs with the coherent state, while estimation using squeezed states shows clear quantum enhancements beyond the coherent-state bounds.
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