Multi-parameter estimation along quantum trajectories with Sequential Monte Carlo methods
arXiv:1707.04725 · doi:10.1103/PhysRevA.96.052306
Abstract
This paper proposes an efficient method for the simultaneous estimation of the state of a quantum system and the classical parameters that govern its evolution. This hybrid approach benefits from efficient numerical methods for the integration of stochastic master equations for the quantum system, and efficient parameter estimation methods from classical signal processing. The classical techniques use Sequential Monte Carlo (SMC) methods, which aim to optimize the selection of points within the parameter space, conditioned by the measurement data obtained. We illustrate these methods using a specific example, an SMC sampler applied to a nonlinear system, the Duffing oscillator, where the evolution of the quantum state of the oscillator and three Hamiltonian parameters are estimated simultaneously.
11 pages, 5 figures, accepted for publication in Phys Rev A
References in corpus (38)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Prescription for experimental determination of the dynamics of a quantum black box
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Observing single quantum trajectories of a superconducting qubit
- Measurement and control of a mechanical oscillator at its thermal decoherence rate
- Thermal nonlinearities in a nanomechanical oscillator
- Decoherence, Chaos, and the Correspondence Principle
- Mapping the optimal route between two quantum states
- Fundamental Quantum Limit to Waveform Estimation
- Feedback control of a solid-state qubit using high-fidelity projective measurement
- Optimal Unravellings for Feedback Control in Linear Quantum Systems
- Continuous Quantum Measurement and the Emergence of Classical Chaos
- Capture and release of a conditional state of a cavity QED system by quantum feedback
- Time-Symmetric Quantum Theory of Smoothing
- Robust quantum parameter estimation: coherent magnetometry with feedback
- State and dynamical parameter estimation for open quantum systems
- Observing quantum state diffusion by heterodyne detection of fluorescence
- Quantum state diffusion, localization and computation
- Quantum chaos in open systems: a quantum state diffusion analysis
- The quantum Bell-Ziv-Zakai bounds and Heisenberg limits for waveform estimation
- Efficient Quantum Filtering for Quantum Feedback Control
- Quantum nonlinear dynamics of continuously measured systems
- Appearance and disappearance of quantum correlations in measurement-based feedback control of a mechanical oscillator
- Continuous Quantum Measurement and the Quantum to Classical Transition
- Frequency Tracking and Parameter Estimation for Robust Quantum State-Estimation
- Bayesian feedback control of a two-atom spin-state in an atom-cavity system
- Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing. II. Applications to atomic magnetometry and Hardy's paradox
- Sensitivity optimization in quantum parameter estimation
- Scanning Quantum Cryogenic Atom Microscope
- Non-equilibrium steady state of a driven levitated particle with feedback cooling
- Rapid estimation of drifting parameters in continuously measured quantum systems
- From quantum trajectories to classical orbits
- Tuning quantum measurements to control chaos
- Persistent Entanglement in the Classical Limit
- Estimation of classical parameters via continuous probing of complementary quantum observables
- Process tomography via sequential measurements on a single quantum system
- Observing quantum chaos with noisy measurements and highly mixed states
- Coupling rotational and translational motion via a continuous measurement in an optomechanical sphere
Cited by in corpus (16)
- A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
- Restoring Heisenberg scaling in noisy quantum metrology by monitoring the environment
- Integrated tool-set for Control, Calibration and Characterization of quantum devices applied to superconducting qubits
- Noisy quantum metrology enhanced by continuous nondemolition measurement
- Magnetic-field-learning using a single electronic spin in diamond with one-photon-readout at room temperature
- Daemonic ergotropy in continuously-monitored open quantum batteries
- Adaptive measurement filter: efficient strategy for optimal estimation of quantum Markov chains
- Dynamical model selection near the quantum-classical boundary
- Experimental simulation of daemonic work extraction in open quantum batteries on a digital quantum computer
- Quantum state tomography with time-continuous measurements: reconstruction with resource limitations
- Quantum frequency estimation with conditional states of continuously monitored independent dephasing channels
- Chaos in the quantum Duffing oscillator in the semiclassical regime under parametrized dissipation
- Noise-assisted and monitoring-enhanced quantum bath tagging
- Online Parameter Estimation for Continuously Monitored Quantum Systems
- Estimating quantum Markov chains using coherent absorber post-processing and pattern counting estimator
- Completely positive trace-preserving maps for higher-order unraveling of Lindblad master equations