Entanglement generation of arbitrary squeezed Fock states

• URL: http://arxiv.org/abs/2603.28077v1
• Date: Mon, 30 Mar 2026 06:29:40 GMT
• Title: Entanglement generation of arbitrary squeezed Fock states
• Abstract summary: We propose a protocol for the generation of entanglement between a superconducting qubit and a squeezed cavity.<n>We analytically derive the resonance conditions and the effective Rabi frequency for the high-order three-photon process.<n>Our method provides a practical pathway for generating complex non-Gaussian entangled states.
• Score: 4.478064149008074
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose an efficient and robust protocol for the generation of entanglement between a superconducting qubit and a squeezed cavity. By applying a parametric drive to the cavity coupled to the qubit, the dynamical evolution of the system is precisely described by an anisotropic Rabi model within a squeezed reference frame. Utilizing high-order time-averaging methods, we analytically derive the resonance conditions and the effective Rabi frequency for the high-order three-photon process. By implementing an adiabatic passage, slowly tuning the cavity frequency across the resonance, the system is steered into a maximally entangled state, e.g., between the three-photon state $\ket{g,3}$ and the qubit excited state $\ket{e,0}$ in the squeezed picture. Numerical simulation results confirm the high fidelity and robustness of the proposed protocol. Our method provides a practical pathway for generating complex non-Gaussian entangled states, which are of significant value for fault-tolerant quantum computation and quantum metrology beyond the standard quantum limit.

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