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    Heralded generation of entangled states based on N-bundle emission in a waveguide magnonics system

    Chengsong Zhao1,*, Wenlin Li1, Biao Xiong2, Jia-Xin Peng3, Ling Zhou4, and Wei-jiang Gong1

    • *Contact author: zhaocs@mail.neu.edu.cn

    Phys. Rev. A 112, 013723 – Published 30 July, 2025

    DOI: https://doi.org/10.1103/nqkp-ykf7

    Abstract

    We propose a scheme for the heralded generation of entangled states, such as Bell states, between two magnetic spheres individually coupled to a common waveguide. By deriving the quantum trajectory equation, we describe the system's dynamics under continuous monitoring and reveal how the waveguide output influences its internal evolution. Based on this formalism, we analyze the two- and three-magnon resonance conditions and demonstrate the two- and three-photon bundles reflected from the waveguide when it is driven from one side. Under these conditions, the detection outcomes allow us to infer the internal magnon states, namely the detection of the first photon in a bundle heralds the successful generation of an entangled state. We further examine abnormal photon emission events and potential experimental imperfections, highlighting the crucial role of detector efficiency in achieving high-fidelity entanglement. Our work provides a robust method for entanglement generation in waveguide magnonics systems.

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