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    Resource-efficient linear-optical generation of GHZ-like states

    Suren A. Fldzhyan1,2,*, Stanislav S. Straupe1,2,3, and Mikhail Yu. Saygin2,3

    • *Contact author: fldzhyansa@my.msu.ru

    Phys. Rev. Applied 26, 024006 – Published 5 August, 2026

    DOI: https://doi.org/10.1103/85lv-9pr7

    Abstract

    Heralded multiphoton entanglement generation is a central bottleneck for photonic quantum computing, where resource costs typically skyrocket with target size. We explore efficient methods for generating photon states with tunable entanglement, providing a flexible tool for quantum state engineering. We introduce a theoretical framework that has been numerically validated, demonstrating the capacity to generate GHZ-like states incrementally from nonlogical intermediate states. We demonstrate that in certain scenarios—such as reducing the resource cost for building large maximally entangled GHZ states—these variable-entanglement states can outperform their fixed-entanglement counterparts. By adjusting intermediate states and optimizing interferometer schemes, we improve photon number cost efficiency of GHZ-like states generation. Our findings indicate that while not a universal solution, nonmaximally entangled states offer practical advantages for specific photonic quantum information tasks.

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