Optical phase estimation via coherent state and displaced photon counting
Shuro Izumi, Masahiro Takeoka, Kentaro Wakui, Mikio Fujiwara, Kazuhiro, Ema, and Masahide Sasaki

TL;DR
This paper introduces a novel displaced-photon counting detection scheme for optical phase estimation that surpasses traditional homodyne and heterodyne methods, achieving near-quantum limit precision with practical implementation.
Contribution
The paper proposes and experimentally demonstrates a new displaced-photon counting method that improves phase sensing performance beyond standard measurements.
Findings
Displaced-photon counting outperforms homodyne and heterodyne detection in phase estimation.
The scheme achieves near-quantum limit precision in practical conditions.
Experimental results confirm the scheme's robustness against imperfections.
Abstract
We consider the phase sensing via weak optical coherent state at quantum limit precision. A new detection scheme for the phase estimation is proposed which is inspired by the suboptimal quantum measurement in coherent optical communication. We theoretically analyze a performance of our detection scheme, which we call the displaced-photon counting, for phase sensing in terms of the Fisher information and show that the displaced-photon counting outperforms the static homodyne and heterodyne detections in wide range of the target phase. The proof-of-principle experiment is performed with linear optics and a superconducting nanowire single photon detector. The result shows that our scheme overcomes the limit of the ideal homodyne measurement even under practical imperfections.
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