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    Transport Measurements of Majorization Order for Wave Coherence

    Cheng Guo*, David A. B. Miller, and Shanhui Fan†

    • Ginzton Laboratory and Department of Electrical Engineering, Stanford University, Stanford, California 94305, USA

    • *Contact author: guocheng@stanford.edu
    • †Contact author: shanhui@stanford.edu

    Phys. Rev. Lett. 135, 053801 – Published 30 July, 2025

    DOI: https://doi.org/10.1103/snx3-bbx1

    Abstract

    We investigate the majorization order for comparing wave coherence and reveal its fundamental consequences in transport measurements, including power distribution, absorption, transmission, and reflection. We prove that all these measurements preserve the majorization order under unitary control, enabling direct experimental characterization of the majorization order. Specifically, waves with lower coherence in the majorization order exhibit more restricted ranges of achievable measurement values. Our results deepen the understanding of coherence in transport phenomena.

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