Optimal Scheme for Quantum Metrology

Abstract

Quantum metrology can achieve far better precision than classical metrology, and is one of the most important applications of quantum technologies in the real world. To attain the highest precision promised by quantum metrology, all steps of the schemes need to be optimized, which include the state preparation, parametrization, and measurement. Here the recent progresses on the optimization of these steps, which are essential for the identification and achievement of the ultimate precision limit in quantum metrology, are reviewed. It is hoped this provides a useful reference for the researchers in quantum metrology and related fields.

21 pages, 7 figures

References in corpus (40)

• Quantum metrology from a quantum information science perspective
• Entanglement-free Heisenberg-limited phase estimation
• Optimal Quantum Phase Estimation
• Imaging with a small number of photons
• Experimental realisation of quantum illumination
• Quantum Metrology for Gravitational Wave Astronomy
• Using entanglement against noise in quantum metrology
• 'Designer atoms' for quantum metrology
• Individual quantum probes for optimal thermometry
• Squeezed-Light Optical Magnetometry
• Multi-parameter estimation beyond Quantum Fisher Information
• Optimal phase measurements with pure Gaussian states
• Time-Symmetric Quantum Theory of Smoothing
• Bayesian parameter inference from continuously monitored quantum systems
• Control-enhanced multiparameter quantum estimation
• Optimal Quantum-Enhanced Interferometry
• Robust quantum metrological schemes based on protection of quantum Fisher information
• Comparison between the Cramer-Rao and the mini-max approaches in quantum channel estimation
• Noisy quantum metrology enhanced by continuous nondemolition measurement
• Quantum metrology for non-Markovian processes
• Fundamental precision limit of a Mach-Zehnder interferometric sensor when one of the inputs is the vacuum
• Ultimate limits for quantum magnetometry via time-continuous measurements
• Quantum ranging with Gaussian entanglement
• Bayesian estimation in homodyne interferometry
• Enhancing parameter precision of optimal quantum estimation by direct quantum feedback
• Neural-Network Heuristics for Adaptive Bayesian Quantum Estimation
• Non-Markovian Sensing of a Quantum Reservoir
• Probe optimization for quantum metrology via closed-loop learning control
• Quantum-limited estimation of range and velocity
• Generalizable control for multiparameter quantum metrology
• Hybrid quantum-classical approach to enhanced quantum metrology
• Mitigating mode-matching loss in nonclassical laser interferometry
• Optimally controlled quantum discrimination and estimation
• Robust strategies for lossy quantum interferometry
• Valid lower bound for all estimators in quantum parameter estimation
• Fourier Analytic Approach to Phase Estimation
• Feedback Ansatz for Adaptive-Feedback Quantum Metrology Training with Machine Learning
• Security against jamming and noise exclusion in imaging
• Generation and storage of spin squeezing via learning-assisted optimal control
• Quantum metrology with precision reaching beyond-$1/N$ scaling through $N$-probe entanglement generating interactions

Cited by in corpus (13)

• QuanEstimation: An open-source toolkit for quantum parameter estimation
• Efficient Generation of Spin Cat States
• Incompatibility measures in multi-parameter quantum estimation under hierarchical quantum measurements
• Control-enhanced quantum metrology under Markovian noise
• Quantum Magnetometer with Dual-Coupling Optomechanics
• All-optical generation of deterministic squeezed Schrödinger-cat states
• Quantum Polarimetry
• Monitoring variations of refractive index via Hilbert-Schmidt speed and applying this phenomenon to improve quantum metrology
• Optimal control for Hamiltonian parameter estimation in non-commuting and bipartite quantum dynamics
• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Multiparameter transmission estimation at the quantum Cramér-Rao limit on a cloud quantum computer
• Relativistic quantum thermometry through a moving sensor
• Iterative Adaptive Spectroscopy of Short Signals