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    Controlled preparation of partially coherent superpositions enhances signal separation resolution beyond classical limits. This quantum coherence enables superior precision and distinct information sorting for multiple parameters.

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    Area of Science:

    • Quantum information science
    • Quantum metrology
    • Signal processing

    Background:

    • Partially coherent superpositions limit signal separation resolution.
    • Quantum Fisher information quantifies precision in parameter estimation.
    • Detection probabilities normalize quantum measurements.

    Purpose of the Study:

    • To investigate the resolution limits of separating partially coherent signals.
    • To explore methods for enhancing precision beyond classical bounds.
    • To demonstrate the role of coherence in parameter information sorting.

    Main Methods:

    • Utilizing quantum Fisher information to define resolution.
    • Normalizing measurements with respect to detection probabilities.
    • Controlled preparation of partially coherent superpositions.

    Main Results:

    • Signal separation resolution is fundamentally limited by incoherent mixtures.
    • Controlled coherence preparation enhances precision by orders of magnitude.
    • Coherence enables sorting of separation and centroid position information into distinct channels.

    Conclusions:

    • Quantum coherence offers a pathway to surpass classical resolution limits in signal separation.
    • Controlled quantum states provide enhanced metrological precision.
    • Coherence-based information sorting is a powerful tool for multi-parameter estimation.