Abstract On this paper, we present a Kerr enhanced continuous variable quantum teleportation scheme based on a driven dissipative nondegenerate optical resonator that combines two mode parametric squeezing with intrinsic third-order Kerr nonlinearity. Right here by linearizing the quantum Langevin dynamics around the self consistent steady state intracavity fields and solving the associated continuous Lyapunov equation, we obtain the steady state covariance matrix and systematically characterize the resulting quantum correlations through logarithmic negativity, EPR variance, teleportation fidelity, and dynamical stability. With the assist of Kerr nonlinearity, parametric coupling, detuning, pump amplitude, and stability our results demonstrate that the quantum teleportation. our finding analysis the optimized stable regime supports teleportation fidelity above the classical benchmark, $F_{\mathrm{tel}}>0.5$ , establishing a direct connection between engineered Kerr mediated quantum correlations and operationally useful continuous variable state transfer. These results establish a promising compact platform for tunable entanglement generation and integrated quantum communication.Abstract On this paper, we present a Kerr enhanced continuous variable quantum teleportation scheme based on a driven dissipative nondegenerate optical resonator that combines two mode parametric squeezing with intrinsic third-order Kerr nonlinearity. Right here by linearizing the quantum Langevin dynamics around the self consistent steady state intracavity fields and solving the associated continuous Lyapunov equation, we obtain the steady state covariance matrix and systematically characterize the resulting quantum correlations through logarithmic negativity, EPR variance, teleportation fidelity, and dynamical stability. With the assist of Kerr nonlinearity, parametric coupling, detuning, pump amplitude, and stability our results demonstrate that the quantum teleportation. our finding analysis the optimized stable regime supports teleportation fidelity above the classical benchmark, $F_{\mathrm{tel}}>0.5$, establishing a direct connection between engineered Kerr mediated quantum correlations and operationally useful continuous variable state transfer. These results establish a promising compact platform for tunable entanglement generation and integrated quantum communication.

Optical and Quantum ElectronicsOct 21, 20260 citations

Phase-Reference Control of Steady-State Entanglement in Open Quantum Systems

Areeda Ayoub, Alfonso Castillo-Gonzalez, Eric R Bittner

We show that steady-state entanglement in open quantum systems is controlled by the phase reference of a phase-sensitive reservoir. Using a covariance-matrix approach for Gaussian-preserving dynamics, we demonstrate that purely local, phase-sensitive dissipation can generate entanglement when combined with coherent coupling. The steady state exhibits a finite entangled region with an optimal squeezing strength that maximizes both the magnitude and thermal robustness of entanglement. We find that coherent coupling does not enhance entanglement monotonically, but instead regulates the conversion of local squeezing into nonlocal correlations. Importantly, the coupling dependence is controlled by the phase reference of the squeezed reservoir: phase-locked (rotating-frame) and laboratory-frame implementations yield qualitatively distinct steady states and entanglement structure. These results establish phase-sensitive reservoir engineering as a controllable route to steady-state entanglement in continuous-variable systems. Steady-state entanglement in phase-sensitive open systems depends explicitly on the reservoir phase reference and is not invariant under changes of that reference.}We show that steady-state entanglement in open quantum systems is controlled by the phase reference of a phase-sensitive reservoir. Using a covariance-matrix approach for Gaussian-preserving dynamics, we demonstrate that purely local, phase-sensitive dissipation can generate entanglement when combined with coherent coupling. The steady state exhibits a finite entangled region with an optimal squeezing strength that maximizes both the magnitude and thermal robustness of entanglement. We find that coherent coupling does not enhance entanglement monotonically, but instead regulates the conversion of local squeezing into nonlocal correlations. Importantly, the coupling dependence is controlled by the phase reference of the squeezed reservoir: phase-locked (rotating-frame) and laboratory-frame implementations yield qualitatively distinct steady states and entanglement structure. These results establish phase-sensitive reservoir engineering as a controllable route to steady-state entanglement in continuous-variable systems. Steady-state entanglement in phase-sensitive open systems depends explicitly on the reservoir phase reference and is not invariant under changes of that reference.}

quant-pharXiv:2605.03978May 6, 20260 citations

New Frontiers in Continuous-Variable Quantum Systems

Victor V. Albert

Nov 26, 20250 citations

Finite-time stabilization control of quantum systems

Sen Kuang, Xiaoke Guan, Daoyi Dong

arXiv:1910.00208AutomaticaNov 12, 202035 citations

Quantum cooling and squeezing of a levitating nanosphere via time-continuous measurements

Marco G. Genoni, Jinglei Zhang, James Millen +2 more

With the purpose of controlling the steady state of a dielectric nanosphere levitated within an optical cavity, we study its conditional dynamics under simultaneous sideband cooling and additional time-continuous measurement of either the output cavity mode or the nanosphere's position. We find that the average phonon number, purity and quantum squeezing of the steady-states can all be made more non-classical through the addition of time-continuous measurement. We predict that the continuous monitoring of the system, together with Markovian feedback, allows one to stabilize the dynamics for any value of the laser frequency driving the cavity. By considering state of the art values of the experimental parameters, we prove that one can in principle obtain a non-classical (squeezed) steady-state with an average phonon number .With the purpose of controlling the steady state of a dielectric nanosphere levitated within an optical cavity, we study its conditional dynamics under simultaneous sideband cooling and additional time-continuous measurement of either the output cavity mode or the nanosphere's position. We find that the average phonon number, purity and quantum squeezing of the steady-states can all be made more non-classical through the addition of time-continuous measurement. We predict that the continuous monitoring of the system, together with Markovian feedback, allows one to stabilize the dynamics for any value of the laser frequency driving the cavity. By considering state of the art values of the experimental parameters, we prove that one can in principle obtain a non-classical (squeezed) steady-state with an average phonon number .

arXiv:1503.05603New Journal of PhysicsJul 14, 201544 citations

F_{\mathrm{tel}}>0.5

, establishing a direct connection between engineered Kerr mediated quantum correlations and operationally useful continuous variable state transfer. These results establish a promising compact platform for tunable entanglement generation and integrated quantum communication.