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    Alternative upper bound for accessible information and wave-particle duality

    Weizhe Gao1 and Sixia Yu1,2,*

    • *Contact author: yusixia@ustc.edu.cn

    Phys. Rev. A 114, 012466 – Published 29 July, 2026

    DOI: https://doi.org/10.1103/ks9d-73dp

    Abstract

    Accessible information of an ensemble, together with its Holevo bound, plays an essential role in quantum information science. Here, we report an alternative upper bound for accessible information based on a relation between accessible information and entanglement. Our bound can tighten the Holevo bound and even coincides with the accurate values of accessible information in some special cases. Since accessible path information provides a natural measure for particle character, our bound leads to a wave-particle duality relation that strengthens previous results. The alternative upper bound of accessible information of an ensemble and the method of deriving our bound may have applications in other areas of quantum information science and quantum foundational theory beyond wave-particle duality.

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