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    Efficient and flexible preparation of photonic NOON states in a superconducting system

    Dong-Sheng Li1,2, Yi-Hao Kang3,*, Zhi-Cheng Shi1,2, Yang Xiao1,2, Ye-Hong Chen1,2,4,†, and Yan Xia1,2,‡

    • *Contact author: yihaokang@hznu.edu.cn
    • †Contact author: yehong.chen@fzu.edu.cn
    • ‡Contact author: xia-208@163.com

    Phys. Rev. A 113, 012619 – Published 21 January, 2026

    DOI: https://doi.org/10.1103/wfj8-tgjz

    Abstract

    The NOON states play a critical role as physical resources in quantum information processing and quantum metrology, yet their preparation efficiency and applicability are often constrained by complicated operational procedures or the requirement for nonlinear interactions. In this paper we propose an efficient protocol to generate the NOON states within two microwave cavities embedded in a superconducting system, assisted by an auxiliary five-level qudit. The state preparation is accomplished in three steps for an arbitrary photon number N by adjusting only external classical fields while keeping the qudit-cavity coupling strengths and the qudit level spacings fixed. Based on parameters accessible in superconducting systems, numerical simulations show that the protocol achieves relatively high fidelity for the NOON-state preparation even in the presence of parameter fluctuations and decoherence effects. Thus, this protocol may provide a practical approach for preparing the NOON states with current technology. Notably, since nonlinear interactions are not required, the protocol is flexible and has the potential to be applied across various physical systems.

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