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    This study presents a new system for measuring tiny angular velocities using weak-value amplification. The technique achieves high precision, with uncertainties limited by the Cramér-Rao bound and minimal postselection probability.

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    Area of Science:

    • Optics and Photonics
    • Quantum Measurement
    • Precision Metrology

    Background:

    • Weak-value amplification (WVA) is crucial for measuring minute physical effects.
    • Accurate measurement of angular velocity is vital in various scientific and technological fields.

    Purpose of the Study:

    • To introduce a novel polarization-dependent angular velocity measurement system.
    • To demonstrate the system's precision and explore its uncertainty limits.

    Main Methods:

    • Utilized a system with two Glan prisms and a true zero-order half-wave plate.
    • Employed a non-Fourier-limited Gaussian pulse as the measurement probe.
    • Investigated the impact of detected photon numbers and postselection probability on measurement uncertainty.

    Main Results:

    • Angular velocity measurements closely matched theoretical predictions.
    • Measurement uncertainties were found to be bounded by the Cramér-Rao bound.
    • Achieved a minimal reliable postselection probability as low as 3.42*10^-6.

    Conclusions:

    • The developed system offers a precise method for angular velocity measurement.
    • Weak-value amplification provides a robust framework for high-precision sensing.
    • The findings contribute to advancements in sensitive optical measurement techniques.