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    Preparing quantum non-Gaussian states for quantum information is difficult. This study identifies the minimum detector efficiency and squeezing quality needed for reliable experimental creation of these states.

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    Area of Science:

    • Quantum optics
    • Quantum information science

    Background:

    • Quantum non-Gaussian states are essential for advanced quantum information processing.
    • Experimentally generating these states, especially for individual photons, presents significant challenges.

    Purpose of the Study:

    • To determine the minimal experimental requirements for creating certifiable quantum non-Gaussian states.
    • To analyze the impact of detector efficiency and squeezing quality on state preparation.

    Main Methods:

    • Theoretical analysis of requirements for quantum non-Gaussian state generation.
    • Focus on experimental parameters: photon number resolving detector quantum efficiency and squeezing operation quality.
    • Consideration of states with three, four, and five photons.

    Main Results:

    • Quantification of the necessary quantum efficiency for photon number resolving detectors.
    • Determination of the required quality for the squeezing operation.
    • Identification of feasibility conditions for experimental realization.

    Conclusions:

    • Minimal requirements for quantum non-Gaussian state preparation are now defined.
    • This work provides a practical guideline for experimentalists.
    • Enables more reliable generation of crucial quantum states for information processing.