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    Area of Science:

    • Quantum optics
    • Quantum information science
    • Quantum technology

    Background:

    • Squeezed states of the harmonic oscillator are crucial for quantum technology.
    • Nonlinear squeezing suppresses noise in non-Gaussian quantum states.
    • Non-Gaussian states are susceptible to decoherence from experimental imperfections.

    Purpose of the Study:

    • To analyze the stability of nonlinear squeezing under decoherence.
    • To investigate the impact of loss and dephasing on cubic nonlinear squeezed states.
    • To determine how initial parameters affect the robustness of nonlinear squeezing.

    Main Methods:

    • Analysis of quantum states with cubic nonlinear squeezing.
    • Simulation of decoherence effects including loss and dephasing.
    • Investigation of parameter dependence for optimizing robustness.

    Main Results:

    • Nonlinear squeezing exhibits vulnerability to decoherence.
    • Loss and dephasing significantly affect the properties of nonlinear squeezed states.
    • Initial state parameters can be tuned to enhance robustness against decoherence.

    Conclusions:

    • The stability of nonlinear squeezing is critical for quantum applications.
    • Optimizing initial parameters is essential for achieving robust nonlinear squeezed states.
    • Understanding decoherence effects is key to realizing practical quantum technologies leveraging nonlinear squeezing.