Quantum Motional State Tomography with Non-Quadratic Potentials and Neural Networks
arXiv:1906.08133 · doi:10.1103/PhysRevResearch.1.033157
Abstract
We propose to use the complex quantum dynamics of a massive particle in a non-quadratic potential to reconstruct an initial unknown motional quantum state. We theoretically show that the reconstruction can be efficiently done by measuring the mean value and the variance of the position quantum operator at different instances of time in a quartic potential. We train a neural network to successfully solve this hard regression problem. We discuss the experimental feasibility of the method by analyzing the impact of decoherence and uncertainties in the potential.
arXiv comment5 pages (3 figures) + appendix: 6 pages (5 figures)
References in corpus (38)
- Cavity Optomechanics
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Many-body quantum state tomography with neural networks
- Sub-Kelvin Parametric Feedback Cooling of a Laser-Trapped Nanoparticle
- Cavity optomechanics using an optically levitated nanosphere
- Millikelvin cooling of an optically trapped microsphere in vacuum
- Large Quantum Superpositions and Interference of Massive Nanometer-Sized Objects
- Toward Quantum Superposition of Living Organisms
- Direct Probing of Quantum Phase Space by Photon Counting
- Direct Measurement of Photon Recoil from a Levitated Nanoparticle
- Cavity cooling of an optically levitated nanoparticle
- Cavity cooling a single charged nanoparticle
- Quantum Superposition of Massive Objects and Collapse Models
- Optically Levitating Dielectrics in the Quantum Regime: Theory and Protocols
- Quantum state transfer between motion and light
- Cooling-by-measurement and mechanical state tomography via pulsed optomechanics
- Cavity cooling of a levitated nanosphere by coherent scattering
- Nonlinear dynamics and millikelvin cavity-cooling of levitated nanoparticles
- Sensing of Static Forces with Free-Falling Nanoparticles
- Cavity cooling of free silicon nanoparticles in high-vacuum
- Cavity-Based 3D Cooling of a Levitated Nanoparticle via Coherent Scattering
- Motion Tomography of a single trapped ion
- On-chip quantum interference of a superconducting microsphere
- Quantum Magnetomechanics with Levitating Superconducting Microspheres
- Normal modes of trapped ions in the presence of anharmonic trap potentials
- Optimal Position Detection of a Dipolar Scatterer in a Focused Field
- Cooling the Motion of a Silica Microsphere in a Magneto-Gravitational Trap in Ultra-High Vacuum
- Theory for Cavity Cooling of Levitated Nanoparticles via Coherent Scattering: Master Equation Approach
- Towards Optomechanical Quantum State Reconstruction of Mechanical Motion
- Direct loading of nanoparticles under high vacuum into a Paul trap for levitodynamical experiments
- Coherent Inflation for Large Quantum Superpositions of Microspheres
- Ultrasensitive Inertial and Force Sensors with Diamagnetically Levitated Magnets
- Near-field coupling of a levitated nanoparticle to a photonic crystal cavity
- Trapping and manipulation of individual nanoparticles in a planar Paul trap
- Ramsey interferences and spin echoes from electron spins inside a levitating macroscopic particle
- Statistical moments for classical and quantum dynamics: formalism and generalized uncertainty relations
- Classical and quantum behavior of the harmonic and the quartic oscillators
Cited by in corpus (14)
- Levitodynamics: Levitation and control of microscopic objects in vacuum
- Quantum State Tomography with Conditional Generative Adversarial Networks
- Wigner Analysis of Particle Dynamics and Decoherence in Wide Nonharmonic Potentials
- Theory of waveguide-QED with moving emitters
- Generation of classical non-Gaussian distributions by squeezing a thermal state into non-linear motion of levitated optomechanics
- tqix: A toolbox for Quantum in X: Quantum measurement, quantum tomography, quantum metrology, and others
- Optimal Phase-Insensitive Force Sensing with Non-Gaussian States
- Nonlinear Phase Gates as Airy Transforms of the Wigner Function
- Machine learning identification of symmetrized base states of Rydberg atoms
- Dynamical tunnelling of a Nano-mechanical Oscillator
- Bayesian optimization of non-classical optomechanical correlations
- Detecting quantum vacuum fluctuations of the electromagnetic field
- Dynamics within a tunable harmonic/quartic waveguide
- Condensation in hybrid superconducting cavity-microscopic spins systems with finite-bandwidth drive