Noisy quantum metrology enhanced by continuous nondemolition measurement
arXiv:2006.08974 · doi:10.1103/PhysRevLett.125.200505
Abstract
We show that continuous quantum nondemolition (QND) measurement of an atomic ensemble is able to improve the precision of frequency estimation even in the presence of independent dephasing acting on each atom. We numerically simulate the dynamics of an ensemble with up to N = 150 atoms initially prepared in a (classical) spin coherent state, and we show that, thanks to the spin squeezing dynamically generated by the measurement, the information obtainable from the continuous photocurrent scales superclassically with respect to the number of atoms N. We provide evidence that such superclassical scaling holds for different values of dephasing and monitoring efficiency. We moreover calculate the extra information obtainable via a final strong measurement on the conditional states generated during the dynamics and show that the corresponding ultimate limit is nearly achieved via a projective measurement of the spin-squeezed collective spin operator. We also briefly discuss the difference between our protocol and standard estimation schemes, where the state preparation time is neglected.
arXiv comment6+7 pages (including Supplemental Material), accepted version
References in corpus (86)
- Quantum sensing
- Advances in Quantum Metrology
- 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
- Optical Magnetometry
- Quantum metrology with nonclassical states of atomic ensembles
- Quantum interface between light and atomic ensembles
- On the Improvement of Frequency Stardards with Quantum Entanglement
- Many-particle entanglement with Bose--Einstein condensates
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Quantum spin squeezing
- The elusive Heisenberg limit in quantum enhanced metrology
- Quantum Metrology in Non-Markovian Environments
- A Straightforward Introduction to Continuous Quantum Measurement
- Quantum limits in optical interferometry
- Quantum enhanced measurements without entanglement
- Quantum noise limited and entanglement-assisted magnetometry
- Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit
- Observing single quantum trajectories of a superconducting qubit
- States of an Ensemble of Two-Level Atoms with Reduced Quantum Uncertainty
- Magnetic sensitivity beyond the projection noise limit by spin squeezing
- To catch and reverse a quantum jump mid-flight
- A simple model of quantum trajectories
- Achieving the Heisenberg limit in quantum metrology using quantum error correction
- Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
- Fundamental Quantum Limit to Waveform Estimation
- Fisher information in quantum statistics
- Noisy metrology beyond the standard quantum limit
- The ultimate precision limits for noisy frequency estimation
- Entanglement-assisted atomic clock beyond the projection noise limit
- Reduced back-action for phase sensitivity 10 times beyond the standard quantum limit
- Measurements with prediction and retrodiction on the collective spin of 10^{11} atoms beat the standard quantum limit
- Spin squeezing via quantum feedback
- Quantum Kalman Filtering and the Heisenberg Limit in Atomic Magnetometry
- High Bandwidth Atomic Magnetometery with Continuous Quantum Non-demolition Measurements
- The Fisher information and the quantum Cramer-Rao sensitivity limit of continuous measurements
- Adaptive quantum metrology under general Markovian noise
- Generation of a squeezed state of an oscillator by stroboscopic back-action-evading measurement
- Heisenberg-limited atom clocks based on entangled qubits
- Quantum metrology with full and fast quantum control
- Spin squeezing and precision probing with light and samples of atoms in the gaussian approximation
- Quantum metrology with open dynamical systems
- Quantum control and measurement of atomic spins in polarization spectroscopy
- Robust quantum parameter estimation: coherent magnetometry with feedback
- Dynamical phase transitions as a resource for quantum enhanced metrology
- Bayesian parameter inference from continuously monitored quantum systems
- State and dynamical parameter estimation for open quantum systems
- Qubit models of weak continuous measurements
- Optimal state estimation for cavity optomechanical systems
- Continuous quantum nondemolition feedback and unconditional atomic spin squeezing
- Collision models in quantum optics
- Observing and Verifying the Quantum Trajectory of a Mechanical Resonator
- Restoring Heisenberg scaling in noisy quantum metrology by monitoring the environment
- Improved Quantum Magnetometry beyond the Standard Quantum Limit
- Quantum frequency estimation with trapped ions and atoms
- Collective processes of an ensemble of spin-1/2 particles
- Efficient Quantum Filtering for Quantum Feedback Control
- Generation of macroscopic singlet states in a cold atomic ensemble
- Bayesian parameter estimation by continuous homodyne detection
- Dynamics of a qubit while simultaneously monitoring its relaxation and dephasing
- Ultimate limits for quantum magnetometry via time-continuous measurements
- Estimation of a classical parameter with gaussian probes: magnetometry with collective atomic spins
- Bell's inequality for conditional probabilities as a test for quantum-like behaviour of mind
- A Machine-Designed Sensor to Make Optimal Use of Entanglement-Generating Dynamics for Quantum Sensing
- Quantum probing beyond pure dephasing
- Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing. II. Applications to atomic magnetometry and Hardy's paradox
- Optimal quantum states for frequency estimation
- Sensing in the Presence of Observed Environments
- Optimal estimation of qubit states with continuous time measurements
- Rapid estimation of drifting parameters in continuously measured quantum systems
- Magnetometry via a double-pass continuous quantum measurement of atomic spin
- Atomic spin squeezing in an optical cavity
- Continuous real-time tracking of a quantum phase below the standard quantum limit
- Cramér-Rao bound for time-continuous measurements in linear Gaussian quantum systems
- Universal quantum magnetometry with spin states at equilibrium
- Singular perturbation of quantum stochastic differential equations with coupling through an oscillator mode
- Information geometry and local asymptotic normality for multi-parameter estimation of quantum Markov dynamics
- Multi-parameter estimation along quantum trajectories with Sequential Monte Carlo methods
- Quantum metrology including state preparation and readout times
- Noise-assisted quantum transport and computation
- Enhanced estimation of loss in the presence of Kerr nonlinearity
- Single Shot Quantum State Estimation via a Continuous Measurement in the Strong Backaction Regime
- Heisenberg versus standard scaling in quantum metrology with Markov generated states and monitored environment
- Scattering of polarized laser light by an atomic gas in free space: a QSDE approach
- Parameter estimation with efficient photodetectors
- Quantum frequency estimation with conditional states of continuously monitored independent dephasing channels
Cited by in corpus (49)
- Criticality-Enhanced Quantum Sensing via Continuous Measurement
- Tutorial: Optical quantum metrology
- Entanglement-enhanced quantum metrology: from standard quantum limit to Heisenberg limit
- Optimal Scheme for Quantum Metrology
- Review: Quantum Metrology and Sensing with Many-Body Systems
- Continuous sensing and parameter estimation with the boundary time-crystal
- Quantum metrology with boundary time crystals
- Learning feedback control strategies for quantum metrology
- Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point
- Efficient Information Retrieval for Sensing via Continuous Measurement
- Floquet Engineering to Overcome No-Go Theorem of Noisy Quantum Metrology
- Noisy atomic magnetometry in real time
- Sequential measurements for quantum-enhanced magnetometry in spin chain probes
- Stark localization as a resource for weak-field sensing with super-Heisenberg precision
- Criticality-enhanced Electric Field Gradient Sensor with Single Trapped Ions
- A pedagogical introduction to continuously monitored quantum systems and measurement-based feedback
- Noisy propagation of Gaussian states in optical media with finite bandwidth
- Quantum metrology in the noisy intermediate-scale quantum era
- Application of Pontryagin's Maximum Principle to Quantum Metrology in Dissipative Systems
- Effects of DM and KSEA interactions on entanglement, Fisher and Wigner-Yanase information correlations of two XYZ-Heisenberg-qubit states under a magnetic field
- Feedback-assisted quantum search by continuous-time quantum walks
- Heisenberg-limited spin squeezing in coupled spin systems
- Long-range interacting Stark many-body probes with Super-Heisenberg precision
- Experimental simulation of daemonic work extraction in open quantum batteries on a digital quantum computer
- Exponentially-enhanced quantum sensing with many-body phase transitions
- Interplay between time and energy in bosonic noisy quantum metrology
- Analysis of spin-squeezing generation in cavity-coupled atomic ensembles with continuous measurements
- Noisy atomic magnetometry with Kalman filtering and measurement-based feedback
- Fisher information rates in sequentially measured quantum systems
- Complete physical characterization of QND measurements via tomography
- Spin Squeezing with Arbitrary Quadratic Collective-Spin Interaction
- Cavity-enhanced magnetometer with a spinor Bose-Einstein condensate
- Designing open quantum systems for enabling quantum enhanced sensing through classical measurements
- Fisher information susceptibility for multiparameter quantum estimation
- Exploiting nonequilibrium phase transitions and strong symmetries for continuous measurement of collective observables
- Coherence of an Electronic Two-Level System under Continuous Charge Sensing by a Quantum Dot Detector
- Universal time scalings of sensitivity in Markovian quantum metrology
- Noise-assisted and monitoring-enhanced quantum bath tagging
- Quantum Simulation of Bound-State-Enhanced Quantum Metrology
- Current-based metrology with two-terminal mesoscopic conductors
- Daemonic ergotropy of Gaussian quantum states and the role of measurement-induced purification via general-dyne detection
- Optimal limits of continuously monitored thermometers and their Hamiltonian structure
- Estimating quantum Markov chains using coherent absorber post-processing and pattern counting estimator
- Response kinetic uncertainty relation for Markovian open quantum systems
- Extending the dynamic range in quantum frequency estimation with sequential weak measurements
- Parameter estimation with one- and two-time measurements on the emission field of the boundary time crystal
- Bounding fidelity in quantum feedback control: theory and applications to Dicke state preparation
- Multiclass classification of dephasing channels
- Boosting Work Extraction in Quantum Batteries via Continuous Environment Monitoring