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Related Experiment Video

Updated: Jun 12, 2026

Picometer-Precision Atomic Position Tracking through Electron Microscopy

Picometer-Precision Atomic Position Tracking through Electron Microscopy

Published on: July 3, 2021

Quantum metrology under coarse-grained measurement.

Byeong-Yoon Go, Geunhee Gwak, Young-Do Yoon

|June 11, 2026

Summary

This summary is machine-generated.

Quantum metrology achieves precision beyond classical limits, even with coarse-grained measurements. This study shows that even two-bin measurements can surpass the standard quantum limit, offering a practical path to quantum enhancement.

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Last Updated: Jun 12, 2026

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Area of Science:

Quantum Metrology
Quantum Information Science
Experimental Physics

Background:

Quantum metrology offers precision beyond classical limits but is sensitive to experimental imperfections.
Previous research primarily addressed imperfections in quantum states and operations.
The impact of coarse-grained quantum measurement on metrology performance remained largely unexplored.

Purpose of the Study:

To investigate the effect of coarse-grained quantum measurement on phase estimation precision.
To theoretically analyze and experimentally demonstrate quantum-enhanced phase estimation under measurement imperfections.
To determine optimal estimation strategies that saturate the Cramér-Rao bound even with limited measurement information.

Main Methods:

Theoretical analysis of Fisher information under coarse-grained homodyne detection using an interferometer with squeezed vacuum and laser input.
Experimental demonstration of quantum-enhanced phase estimation with coarse-grained homodyne detection.
Application of the method of moments for determining optimal estimation strategies and calibration procedures.

Main Results:

Coarse-grained measurement, even with only two bins, enables phase estimation beyond the standard quantum limit.
Achieved precision follows Heisenberg scaling, demonstrating significant quantum enhancement.
Experimental results showed a 1.2 dB quantum enhancement with two bins, improving to 3.0 dB with more bins compared to classical methods.

Conclusions:

Coarse-grained quantum measurement does not fundamentally limit quantum-enhanced metrology.
Optimal estimation strategies can recover quantum advantage even under severe measurement imperfections.
This work presents a practical approach for realizing quantum enhancement in real-world experimental settings.