Multi-parameter Quantum Metrology

Abstract

The simultaneous quantum estimation of multiple parameters can provide a better precision than estimating them individually. This is an effect that is impossible classically. We review the rich background of multi-parameter quantum metrology, some of the main results in the field and its recent advances. We close by highlighting future challenges and open questions.

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Cited by in corpus (171)

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• A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
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• Multi-parameter estimation beyond Quantum Fisher Information
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• Single-Mode Displacement Sensor
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• Multiqubit Spectroscopy of Gaussian Quantum Noise
• Discontinuities of the quantum Fisher information and the Bures metric
• Evaluating the Holevo Cramér-Rao bound for multi-parameter quantum metrology
• Tutorial: Optical quantum metrology
• Attaining the ultimate precision limit in quantum state estimation
• Control-enhanced multiparameter quantum estimation
• Estimation of Gaussian quantum states
• Gaussian systems for quantum enhanced multiple phase estimation
• Entanglement-enhanced quantum metrology: from standard quantum limit to Heisenberg limit
• Deterministic realization of collective measurements via photonic quantum walks
• Operational resource theory of continuous-variable nonclassicality
• Experimental Phase Estimation Enhanced By Machine Learning
• Spin squeezing with short-range spin-exchange interactions
• Optimal measurements for quantum multiparameter estimation with general states
• Quantum Semiparametric Estimation
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Towards superresolution surface metrology: Quantum estimation of angular and axial separations
• Bayesian multi-parameter quantum metrology with limited data
• Quantum metrology for non-Markovian processes
• Quantum metrology in the presence of limited data
• Ultimate precision of multi-parameter quantum magnetometry under the parallel scheme
• Quantum limited superresolution of an incoherent source pair in three dimensions
• Multiphoton interference in quantum Fourier transform circuits and applications to quantum metrology
• Precision Limits in Quantum Metrology with Open Quantum Systems
• Achieving the ultimate quantum timing resolution
• Optimal measurements for quantum spatial superresolution
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• Probe incompatibility in multiparameter noisy quantum metrology
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• Using adaptiveness and causal superpositions against noise in quantum metrology
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• Quantum-limited Euler angle measurements using anticoherent states
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• Classification and characterization of quantum parametric models in quantum estimation theory
• Incompatibility in Quantum Parameter Estimation
• Precision bounds for gradient magnetometry with atomic ensembles
• Intrinsic Sensitivity Limits for Multiparameter Quantum Metrology
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• Reaching for the quantum limits in the simultaneous estimation of phase and phase diffusion
• The Holevo Cramér-Rao bound is at most thrice the Helstrom version
• Toward Incompatible Quantum Limits on Multiparameter Estimation
• Quantum sensors for dynamical tracking of chemical processes
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• On the properties of the asymptotic incompatibility measure in multiparameter quantum estimation
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• Finite-error metrological bounds on the multi-parameter Hamiltonian estimation
• Information geometry under hierarchical quantum measurement
• Quantum correlation entropy
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• Heisenberg scaling precision in the estimation of functions of parameters
• How much entanglement can be created in a closed system?
• Sensing rotations with multiplane light conversion
• Networked quantum sensing
• Optimizing illumination for precise multi-parameter estimations in coherent diffractive imaging
• Optical estimation of unitary Gaussian processes without phase reference using Fock states
• Multiparameter estimation via an ensemble of spinor atoms
• Quantum Zeno effect in correlated qubits
• Natural parameterized quantum circuit
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• Generalized-mean Cramér-Rao Bounds for Multiparameter Quantum Metrology
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• Simultaneous estimation of multiple phases in generalised Mach-Zehnder interferometer
• Quantum-enhanced joint estimation of phase and phase diffusion
• Non-Gaussian generalized two-mode squeezing: applications to two-ensemble spin squeezing and beyond
• Multiparameter estimation with two qubit probes in noisy channels
• Simultaneous quantum estimation of phase and indistinguishability in a two photon interferometer
• Spectral and temporal metrology with bandlimited functions and finite-time measurements
• Saturability of the Quantum Cramér-Rao Bound in Multiparameter Quantum Estimation at the Single-Copy Level
• Optimizing measurement tradeoffs in multiparameter spatial superresolution
• Quantum-Limited Estimation of Phase Gradient
• Joint Estimation of a Two-Phase Spin Rotation beyond Classical Limit
• Randomized measurements for multi-parameter quantum metrology
• Persistent quantum advantage with definite photon-number states in lossy multiple-phase estimation
• Saturation of Quantum Cramer-Rao Bounds for Distributed Sensing via Error Sensitivity in SU(1,1)-SU(m) Interferometry
• Robust quantum metrology with random Majorana constellations
• Efficient Experimental Qudit State Estimation via Point Tomography
• Non-asymptotic quantum metrology
• Open-loop quantum control of small-size networks for high-order cumulants and cross-correlations sensing
• Multiparameter quantum metrology using strongly interacting spin systems
• Optimal circular dichroism sensing with quantum light: Multi-parameter estimation approach
• Quantum multiphase estimation
• Scalable Generation of Multi-mode NOON States for Quantum Multiple-phase Estimation
• Improving quantum walk metrology with split-step quantum walk
• Non-locality of conjugation symmetry: characterization and examples in quantum network sensing
• Holevo Cramér-Rao bound: How close can we get without entangling measurements?
• Optimal quantum metrology under energy constraints
• Multiparameter quantum metrology at Heisenberg scaling for an arbitrary two-channel linear interferometer with squeezed light
• Ultimate Precision of Direct Tomography of Wave Functions
• Cascaded Multiparameter Quantum Metrology
• Joint estimation of noise and nonlinearity in Kerr systems
• Heisenberg-scaling characterization of a two-channel optical network via two-port homodyne detection
• Universal Operational Privacy in Distributed Quantum Sensing
• Multiparameter quantum metrology with postselection measurements
• Randomness-free Detection of Non-projective Measurements: Qubits & beyond
• Gill and Massar type bound for estimation of $SU(2)$ channel
• Minimal Trade-off and Optimal Measurement for Multiparameter Quantum Estimation
• Quantum-enhanced passive remote sensing