Bayesian quantum frequency estimation in presence of collective dephasing

Abstract

We advocate a Bayesian approach to optimal quantum frequency estimation - an important issue for future quantum enhanced atomic clock operation. The approach provides a clear insight into the interplay between decoherence and the extent of the prior knowledge in determining the optimal interrogation times and optimal estimation strategies. We propose a general framework capable of describing local oscillator noise as well as additional collective atomic dephasing effects. For a Gaussian noise the average Bayesian cost can be expressed using the quantum Fisher information and thus we establish a direct link between the two, often competing, approaches to quantum estimation theory

15 pages, 3 figures

References in corpus (7)

• 14-qubit entanglement: creation and coherence
• Nonlinear atom interferometer surpasses classical precision limit
• Optimal Quantum Phase Estimation
• 'Designer atoms' for quantum metrology
• Entangled Fock states for Robust Quantum Optical Metrology, Imaging, and Sensing
• Qubit metrology and decoherence
• Phase estimation without a priori knowledge in the presence of loss

Cited by in corpus (79)

• Quantum Fisher information matrix and multiparameter estimation
• Quantum limits in optical interferometry
• Quantum enhanced measurements without entanglement
• Using entanglement against noise in quantum metrology
• A Geometric Perspective on Quantum Parameter Estimation
• Optimal metrology with programmable quantum sensors
• Multi-parameter estimation beyond Quantum Fisher Information
• True precision limits in quantum metrology
• Multi-qubit gates and Schrödinger cat states in an optical clock
• Quantum Variational Optimization of Ramsey Interferometry and Atomic Clocks
• Flexible resources for quantum metrology
• Improved Quantum Magnetometry beyond the Standard Quantum Limit
• $\pi$-Corrected Heisenberg Limit
• Bayesian multi-parameter quantum metrology with limited data
• Fundamental limits to frequency estimation: A comprehensive microscopic perspective
• Quantum metrology in the presence of limited data
• Universal quantum operations and ancilla-based readout for tweezer clocks
• Entanglement-based dc magnetometry with separated ions
• Precision Limits in Quantum Metrology with Open Quantum Systems
• Dissipative Quantum Metrology with Spin Cat States
• QuanEstimation: An open-source toolkit for quantum parameter estimation
• Multi-ensemble metrology by programming local rotations with atom movements
• Bayesian estimation for quantum sensing in the absence of single-shot detection
• Optimal and Variational Multi-Parameter Quantum Metrology and Vector Field Sensing
• Tensor-Network Approach for Quantum Metrology in Many-Body Quantum Systems
• Designing quantum experiments with a genetic algorithm
• Activating hidden metrological usefulness
• Optimal Quantum Metrology of Distant Black Bodies
• Quantum Weiss-Weinstein bounds for quantum metrology
• The quantum Allan variance
• Fisher-information-based estimation of optomechanical coupling strengths
• Quantum scale estimation
• Many-body effects in quantum metrology
• Optimal protocols for quantum metrology with noisy measurements
• Fundamental quantum limits of multi-carrier optomechanical sensors
• Bound entangled singlet-like states for quantum metrology
• Designing optimal protocols in Bayesian quantum parameter estimation with higher-order operations
• Improved sensing with a single qubit
• Thermodynamic principle for quantum metrology
• Super-additivity in communication of classical information through quantum channels from a quantum parameter estimation perspective
• Strict hierarchy of optimal strategies for global estimations: Linking global estimations with local ones
• Noisy distributed sensing in the Bayesian regime
• Frequency estimation under non-Markovian spatially correlated quantum noise: Restoring superclassical precision scaling
• Stochastic waveform estimation at the fundamental quantum limit
• Quantum precision limits of displacement noise free interferometers
• Discrete-to-continuous transition in quantum phase estimation
• Laser noise imposed limitations of ensemble quantum metrology
• First-principles construction of symmetry-informed quantum metrologies
• Time-energy uncertainty relation for noisy quantum metrology
• Determination of the asymptotic limits of adaptive photon counting measurements for coherent-state optical phase estimation
• Operational meanings of a generalized conditional expectation in quantum metrology
• Optimizing one-axis twists for variational Bayesian quantum metrology
• Optimal Ramsey interferometry with echo protocols based on one-axis twisting
• TNQMetro: Tensor-network based package for efficient quantum metrology computations
• Optimal lossy quantum interferometry in phase space
• Quantum asymmetry and noisy multi-mode interferometry
• Enhancing Dynamic Range of Sub-Quantum-Limit Measurements via Quantum Deamplification
• Average number is an insufficient metric for interferometry
• Heisenberg-limited Bayesian phase estimation with low-depth digital quantum circuits
• Goldilocks Probes for Noisy Interferometry via Quantum Annealing to Criticality
• Retrieving maximum information of symmetric states from their corrupted copies
• Bayesian quantum phase estimation with fixed photon states
• Efficient tensor networks for control-enhanced quantum metrology
• Time-adaptive phase estimation
• Simultaneous optical phase and loss estimation revisited: measurement and probe incompatibility
• Iterative optimization in quantum metrology and entanglement theory using semidefinite programming
• Bosonic Entanglement and Quantum Sensing from Energy Transfer in two-tone Floquet Systems
• Usefulness of Quantum Entanglement for Enhancing Precision in Frequency Estimation
• Adaptive, symmetry-informed Bayesian metrology for precise quantum technology measurements
• Lindblad estimation with fast and precise quantum control
• Bound entanglement-assisted prepare-and-measure scenarios based on four-dimensional quantum messages
• Sharp transitions in low-number quantum dots Bayesian magnetometry
• Bayesian Frequency Metrology with Optimal Ramsey Interferometry in Optical Atomic Clocks
• Generalized conditional expectations for quantum retrodiction and smoothing
• Adaptive Bayesian algorithm for achieving desired quantum transition
• QMetro++ -- Python optimization package for large scale quantum metrology with customized strategy structures
• Improved Quantum Sensing by Spectral Design
• Extending the dynamic range in quantum frequency estimation with sequential weak measurements
• Knowledge-dependent optimal Gaussian strategies for phase estimation