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    Heralded deterministic Knill-Laflamme-Milburn entanglement generation for solid-state emitters via waveguide-assisted photon scattering

    Fang-Fang Du1,2,*, Xin-Shan Du1, Zhuo-Ya Bai3, and Qiu-Lin Tan1,2,†

    • 1State Key Laboratory of Extreme Environment Optoelectronic Dynamic Testing Technology and Instrument, North University of China, Tai Yuan 030051, China
    • 2Key Laboratory of Micro/nano Devices and Systems, Ministry of Education, North University of China, Tai Yuan 030051, China
    • 3Beijing National Research Center for Information Science and Technology, Department of Electronic Engineering, Tsinghua University, Beijing 100084, China

    • *Contact author: Duff@nuc.edu.cn
    • †Contact author: tanqiulin@nuc.edu.cn

    Phys. Rev. A 112, 052440 – Published 20 November, 2025

    DOI: https://doi.org/10.1103/371q-1s8h

    Abstract

    The realization of quantum networks that exploit multiqubit entanglement opens avenues for transformative applications in the realm of quantum communication. In the paper, we present a set of heralded deterministic protocols designed for the generation of two-qubit, three-qubit, and N-qubit Knill-Laflamme-Milburn (KLM) states by the photon scattering property in one-dimensional waveguide-emitter system. In each protocol, the auxiliary single photon functions as a universal interface to bridge all stationary qubits. Our proposed protocols allow for the conversion of irregular scattering incidents occasioned by nonideal coupling and frequency detuning into detectable events by triggering the detectors, which means that our protocols are effective for the generation of arbitrary KLM states with the predictive operational character and high fidelity. Owing to the significant breakthroughs in the integration of quantum emitters with nanophotonic waveguides, our protocols possess ideal features that position them as the promising candidates for deployment in long-range multiqubit quantum network systems.

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