Tutorial: Optical quantum metrology
arXiv:2507.22680 · doi:10.1103/PRXQuantum.3.010202
Abstract
The purpose of quantum technologies is to explore how quantum effects can improve on existing solutions for the treatment of information. Quantum photonics sensing holds great promises for reaching a more efficient trade-off between invasivity and quality of the measurement, when compared with the potential of classical means. This tutorial is dedicated to presenting how this advantage is brought about by nonclassical light, examining the basic principles of parameter estimation and reviewing the state of the art.
Tutorial published in PRX Quantum as introductory material for newcomers to the discipline. Uploaded here to comply with open access policies, although the journal version is already open access
References in corpus (117)
- Quantum sensing
- Advances in Quantum Metrology
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- Quantum metrology with nonclassical states of atomic ensembles
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Detecting Single Infrared Photons with 93% System Efficiency
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Quantum metrology from a quantum information science perspective
- Beating the Standard Quantum Limit with Four Entangled Photons
- Advances in Photonic Quantum Sensing
- The elusive Heisenberg limit in quantum enhanced metrology
- Experimental realization of sub-shot-noise quantum imaging
- Entanglement-free Heisenberg-limited phase estimation
- Biological measurement beyond the quantum limit
- Experimental ten-photon entanglement
- Optimal Quantum Phase Estimation
- Observation of squeezed light with 10dB quantum noise reduction
- Quantum Theory of Superresolution for Two Incoherent Optical Point Sources
- 18-qubit entanglement with photon's three degrees of freedom
- Generalized Limits for Single-Parameter Quantum Estimation
- Quantum Metrology for Gravitational Wave Astronomy
- Quantum Enhanced Multiple Phase Estimation
- Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
- Photonic polarization gears for ultra-sensitive angular measurements
- Photon number resolution using a time-multiplexed single-photon detector
- An Entanglement-Enhanced Microscope
- Multi-parameter estimation in networked quantum sensors
- Compatibility in Multiparameter Quantum Metrology
- Multi-parameter Quantum Metrology
- Time-reversal and super-resolving phase measurements
- Experimental quantum-enhanced estimation of a lossy phase shift
- Entanglement-enhanced measurement of a completely unknown phase
- Interaction-based quantum metrology showing scaling beyond the Heisenberg limit
- Unconditional violation of the shot noise limit in photonic quantum metrology
- Squeezed-Light Optical Magnetometry
- A Geometric Perspective on Quantum Parameter Estimation
- Quantum Metrology: Dynamics vs. Entanglement
- A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
- Distributed Quantum Sensing Using Continuous-Variable Multipartite Entanglement
- Quantum-enhanced optical phase tracking
- Distributed Quantum Metrology and the Entangling Power of Linear Networks
- Optimal quantum estimation of loss in bosonic channels
- Two-photon interference: the Hong-Ou-Mandel effect
- Fundamental Quantum Limit to Waveform Estimation
- Scaling laws for precision in quantum interferometry and bifurcation landscape of optimal state
- Optimal measurements for simultaneous quantum estimation of multiple phases
- Efficient Bayesian Phase Estimation
- Optimal estimation of losses at the ultimate quantum limit with non-Gaussian states
- Beating Rayleigh's Curse by Imaging Using Phase Information
- Detection loss tolerant supersensitive phase measurement with an SU(1,1) interferometer
- Superconducting nanowire for single-photon detection: progress, challenges and opportunities
- Multiparameter Quantum Metrology of Incoherent Point Sources: Towards Realistic Superresolution
- Entanglement-enhanced probing of a delicate material system
- Optimal and Secure Measurement Protocols for Quantum Sensor Networks
- Sensitivity Bounds for Multiparameter Quantum Metrology
- Phase sensing beyond the standard quantum limit with a truncated SU(1,1) interferometer
- Measuring protein concentration with entangled photons
- Optimal estimation of joint parameters in phase space
- Quantum-Enhanced Plasmonic Sensing
- Quantum metrology with imperfect states and detectors
- Fundamental quantum interferometry bound for the squeezed-light-enhanced gravitational-wave detector GEO600
- Generation and characterization of multimode quantum frequency combs
- Ab-initio Quantum Enhanced Optical Phase Estimation Using Real-time Feedback Control
- Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements
- Evaluating the Holevo Cramér-Rao bound for multi-parameter quantum metrology
- Attaining the ultimate precision limit in quantum state estimation
- Quantum-limited metrology with product states
- Quantum interferometry with three-dimensional geometry
- Quantum local asymptotic normality based on a new quantum likelihood ratio
- Generation of Large Number-Path Entanglement Using Linear Optics and Feed-Forward
- High photon number path entanglement in the interference of spontaneously downconverted photon pairs with coherent laser light
- Beating the Rayleigh Limit Using Two-Photon Interference
- Resolving photon numbers using a superconducting tapered nanowire detector
- Practical Quantum Metrology
- Experimental estimation of one-parameter qubit gates in the presence of phase diffusion
- Subdiffraction incoherent optical imaging via spatial-mode demultiplexing
- Gaussian systems for quantum enhanced multiple phase estimation
- Quantum-limited time-frequency estimation through mode-selective photon measurement
- Heralding two- and four-photon path entanglement on chip
- Quantum state measurements using multi-pixel photon detectors
- Experimental multiphase estimation on a chip
- Experimental Phase Estimation Enhanced By Machine Learning
- Local asymptotic normality for qubit states
- High-bandwidth squeezed light at 1550 nm from a compact monolithic PPKTP cavity
- Quantum-limited estimation of the axial separation of two incoherent point sources
- Optical interferometry in the presence of large phase diffusion
- The quantum Bell-Ziv-Zakai bounds and Heisenberg limits for waveform estimation
- Towards superresolution surface metrology: Quantum estimation of angular and axial separations
- Experimental optical phase measurement approaching the exact Heisenberg limit
- Quantum interferometer combining squeezing and parametric amplification
- Sub-binomial light
- Explicit formula for the Holevo bound for two-parameter qubit estimation problem
- Noisy quantum metrology enhanced by continuous nondemolition measurement
- Quantum limited superresolution of an incoherent source pair in three dimensions
- Experimental estimation of entanglement at the quantum limit
- Quantum-enhanced interferometry with large heralded photon-number states
- Tomography of photon-number resolving continuous-output detectors
- Pulsed homodyne measurements of femtosecond squeezed pulses generated by single-pass parametric deamplification
- Wide-field SU(1,1) interferometer
- Achieving the ultimate quantum timing resolution
- Signal tracking beyond the time resolution of an atomic sensor by Kalman filtering
- Accurate detection of arbitrary photon statistics
- Ultimate precision of joint quadrature parameter estimation with a Gaussian probe
- Classification and characterization of quantum parametric models in quantum estimation theory
- General expressions for the quantum Fisher information matrix with applications to discrete quantum imaging
- Phase estimation via quantum interferometry for noisy detectors
- Non-asymptotic analysis of quantum metrology protocols beyond the Cramér-Rao bound
- Cryptographic quantum metrology
- Realistic sub-Rayleigh imaging with phase-sensitive measurements
- Quantum Optical Metrology of Correlated Phase and Loss
- Standard Quantum Limit and Heisenberg Limit in Function Estimation
- Minimum uncertainty measurements of angle and angular momentum
- Twin beam quantum-enhanced correlated interferometry for testing fundamental physics
- Nuisance parameter problem in quantum estimation theory: General formulation and qubit examples
- Optimal estimation of entanglement and discord in two-qubit states
- Arbitrarily High Super-Resolving Phase Measurements at Telecommunication Wavelengths
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- Experimental multiparameter quantum metrology in adaptive regime
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- Quantum metrology using time-frequency as quantum continuous variables: Resources, sub shot-noise precision and phase space representation
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- Heralded generation of entanglement with photons
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- Quantum speed limits in arbitrary phase spaces
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- A protocol for global multiphase estimation
- Multi-parameter quantum estimation of single- and two-mode pure Gaussian states
- Monitoring variations of refractive index via Hilbert-Schmidt speed and applying this phenomenon to improve quantum metrology
- Experimental Test of Nonlocality Limits from Relativistic Independence
- Optimizing quantum-enhanced Bayesian multiparameter estimation of phase and noise in practical sensors
- Quantum Target Ranging for LiDAR
- Orbital angular momentum-enhanced phase estimation using non-Gaussian state with photon loss
- Enhancing Quantum Metrology by Quantum Resonance Dynamics
- Multiparameter estimation of continuous-time Quantum Walk Hamiltonians through Machine Learning
- Estimation of high-dimensional unitary transformations saturating the Quantum Cramér-Rao bound
- Quantum super-resolution for imaging two pointlike entangled photon sources
- Adaptive Phase Estimation with Squeezed Vacuum Approaching the Quantum Limit
- Simultaneous quantum estimation of phase and indistinguishability in a two photon interferometer
- Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
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- Saturability of the Quantum Cramér-Rao Bound in Multiparameter Quantum Estimation at the Single-Copy Level
- Achieving quantum metrological performance and exact Heisenberg limit precision through superposition of -spin coherent states
- Quantum projectors implemented with optical directional couplers fabricated by Na/K ion-exchange in soda-lime glass
- Quantum multiphase estimation
- Weak convexity of Fisher information matrix and superresolved localization of blinking sources of light
- Quantum metrology through spectral measurements in quantum optics
- Information Processing in Quantum Thermodynamic Systems: an Autonomous Hamiltonian Approach
- Quantum Metrology under Coarse-Grained Measurement
- Heisenberg-scaling characterization of a two-channel optical network via two-port homodyne detection
- Impact of the Unruh effect on the estimation precision of Gaussian channel parameters
- Approaching the Multiparameter Quantum Cramér-Rao Bound via Classical Correlation and Entangling Measurements
- Active Quantum Distillation
- Dynamical Maps for Accelerating Detectors
- Multiparameter quantum estimation with Gaussian states: efficiently evaluating Holevo, RLD and SLD Cramér-Rao bounds
- Photonic quantum information with time-bins: Principles and applications