Multipartite entanglement serves as a foundational resource for scalable quantum information processing. We propose a tunable scheme for generating multipartite entanglement in non-Hermitian quantum systems by incorporating driven ancillary qubits with adjustable control fields. This non-Hermitian network allows precise regulation of effective coupling strengths among multiple non-Hermitian microwave cavities, enabling the scalable preparation of maximally entangled states on an accelerated timescale. To demonstrate the capability of our approach, we perform numerical simulations based on a system of multiple microwave cavities interfaced through superconducting qubits. The results reveal that non-Hermitian cavities achieve multipartite entanglement generation significantly faster than conventional Hermitian systems. This temporal advantage becomes increasingly substantial as the system approaches an exceptional point (EP) of order $2^n$ at $J=0$ under reduced perturbation. Notably, our scheme maintains strong robustness against systematic errors of the control parameters, intersystem crosstalk, and environmental noise. These features establish the proposed method as a viable and scalable approach for achieving high-fidelity multipartite entanglement near higher-order exceptional points in non-Hermitian quantum networks.

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• Open quantum systems & decoherence
• PT-symmetric quantum mechanics
• Quantum control
• Quantum information theory