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    Multipartite entanglement generation via unsharp-measurement-feedback control

    Du Ran1,2, Ze-Long He1,2, Peng-Yu Su1,2, Sui-Hu Dang1,2, Ya-dong Li1,2, and Shuai Liu3,*

    • *Contact author: sliuforall@163.com

    Phys. Rev. A 114, 022616 – Published 19 August, 2026

    DOI: https://doi.org/10.1103/qj72-3m1r

    Abstract

    Inspired by the self-fulfilling prophecy (SFP) mechanism introduced by Uys et al. [H. Uys et al., Phys. Rev. A 97, 060102(R) (2018)], we develop an unsharp-measurement–feedback framework for multipartite entanglement generation and stabilization in open quantum systems. The method formulates a branchwise fixed-point construction for entangled target states, with the two-qubit Bell state serving as a minimal example and Greenberger-Horne-Zeilinger and W states as representative multipartite benchmarks. Intercycle decoherence is incorporated using Kraus-type and Lindblad-type dissipation models, which give consistent ensemble-averaged behavior. We further introduce an adjoint-channel-based adaptive correction that compensates noise-induced deviations and accelerates convergence. Numerical simulations quantify the effects of dissipation, measurement-feedback frequency, and measurement strength on the attainable fidelity and resource tradeoffs. The results extend SFP-style measurement-feedback control from state-preparation protocols to a dissipation-aware protocol-level framework for multipartite entanglement generation.

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