On-Demand Generation of Traveling Cat States Using a Parametric Oscillator

Abstract

We theoretically propose a method for on-demand generation of traveling Schrödinger cat states, namely, quantum superpositions of distinct coherent states of traveling fields. This method is based on deterministic generation of intracavity cat states using a Kerr-nonlinear parametric oscillator (KPO) via quantum adiabatic evolution. We show that the cat states generated inside a KPO can be released into an output mode by controlling the parametric pump amplitude dynamically. We further show that the quality of the traveling cat states can be improved by using a shortcut-to-adiabaticity technique.

9 pages, 4 figures

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• Dynamics of transient cat-states in degenerate parametric oscillation with and without nonlinear Kerr interactions
• Overcoming decoherence of cat-states formed in a cavity using squeezed-state inputs
• Chaos in coupled Kerr-nonlinear parametric oscillators
• Wigner negativity in the steady-state output of a Kerr parametric oscillator
• Numerical study of Wigner negativity in one-dimensional steady-state resonance fluorescence
• Correlated oscillations in Kerr parametric oscillators with tunable effective coupling
• Entangling Schrödinger's cat states by bridging discrete- and continuous-variable encoding
• Fast generation of Cat states in Kerr nonlinear resonators via optimal adiabatic control
• Non-Markovian environment induced Schrödinger cat state transfer in an optical Newton's cradle
• Fast elementary gates for universal quantum computation with Kerr parametric oscillator qubits
• Spectroscopic estimation of the photon number for superconducting Kerr parametric oscillators
• Spectroscopic observation of the crossover from a classical Duffing oscillator to a Kerr parametric oscillator
• Excited-State Adiabatic Quantum Computation Started with Vacuum States
• Environment-Assisted Generation of Non-Gaussian Wavepacket Quantum States
• Autonomous Quantum Error Correction in a Four-Photon Kerr Parametric Oscillator