Optimal control of linear Gaussian quantum systems via quantum learning control
arXiv:2406.05597 · doi:10.1103/PhysRevA.109.063508
Abstract
Efficiently controlling linear Gaussian quantum (LGQ) systems is a significant task in both the study of fundamental quantum theory and the development of modern quantum technology. Here, we propose a general quantum-learning-control method for optimally controlling LGQ systems based on the gradient-descent algorithm. Our approach flexibly designs the loss function for diverse tasks by utilizing first- and second-order moments that completely describe the quantum state of LGQ systems. We demonstrate both deep optomechanical cooling and large optomechanical entanglement using this approach. Our approach enables the fast and deep ground-state cooling of a mechanical resonator within a short time, surpassing the limitations of sideband cooling in the continuous-wave driven strong-coupling regime. Furthermore, optomechanical entanglement could be generated remarkably fast and surpass several times the corresponding steady-state entanglement, even when the thermal phonon occupation reaches one hundred. This work will not only broaden the application of quantum learning control, but also open an avenue for optimal control of LGQ systems.
14 pages, 7 figures
References in corpus (23)
- Sideband Cooling Micromechanical Motion to the Quantum Ground State
- Optomechanical entanglement between a movable mirror and a cavity field
- Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
- Theory of ground state cooling of a mechanical oscillator using dynamical back-action
- Observation of strong coupling between a micromechanical resonator and an optical cavity field
- Radiation-pressure cooling and optomechanical instability of a micro-mirror
- Self-cooling of a micro-mirror by radiation pressure
- Ground-state cooling of a micromechanical oscillator: generalized framework for cold damping and cavity-assisted cooling schemes
- State Transfer Between a Mechanical Oscillator and Microwave Fields in the Quantum Regime
- Quantum information with Gaussian states
- Robust entanglement of a micromechanical resonator with output optical fields
- Coherent quantum LQG control
- Multimode circuit optomechanics near the quantum limit
- Nonreciprocal ground-state cooling of multiple mechanical resonators
- Deterministic Dicke state preparation with continuous measurement and control
- Optimal Feedback Cooling of a Charged Levitated Nanoparticle with Adaptive Control
- High-Fidelity Single-Shot Toffoli Gate via Quantum Control
- Optimal state estimation for cavity optomechanical systems
- Optimal control of entanglement via quantum feedback
- Coherent versus measurement feedback: Linear systems theory for quantum information
- Radiation Pressure Cooling as a Quantum Dynamical Process
- Remark on laser linewidth hazard in opto-mechanical cooling
- Suppressing laser phase noise in an optomechanical system