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The elusive Heisenberg limit in quantum-enhanced metrology
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Local Asymptotic Normality for Finite Dimensional Quantum Systems
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Completely positive linear maps on complex matrices
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Linear transformations which preserve trace and positive semidefiniteness of operators
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An analysis of completely-positive trace-preserving maps on M2
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Geometry of Quantum States: An Introduction to Quantum Entanglement
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Super-resolving phase measurements with a multiphoton entangled state
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Entanglement-free Heisenberg-limited phase estimation
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Interaction-based quantum metrology showing scaling beyond the Heisenberg limit
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Quantum states made to measure
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Experimental quantum-enhanced estimation of a lossy phase shift
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Advances in quantum metrology
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General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
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A gravitational wave observatory operating beyond the quantum shot-noise limit
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A quantum-enhanced prototype gravitational-wave detector
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The Principles of Quantum Mechanics
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Fundamentals of Statistical Signal Processing: Estimation Theory
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Robustness of Heisenberg-limited interferometry with balanced Fock states
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Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements
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A fibre bundle over manifolds of quantum channels and its application to quantum statistics
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Spin squeezing and reduced quantum noise in spectroscopy
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Optimal frequency measurements with maximally correlated states
inferredcites →https://doi.org/10.1103/physreva.55.3195openalex-snapshot
Optical coherence: A convenient fiction
inferredcites →https://doi.org/10.1103/physreva.57.4736openalex-snapshot
Correlated input-port, matter-wave interferometer: Quantum-noise limits to the atom-laser gyroscope
inferredcites →https://doi.org/10.1103/physreva.63.042304openalex-snapshot
Quantum channel identification problem
inferredcites →https://doi.org/10.1103/physreva.76.032111openalex-snapshot
Qubit metrology and decoherence
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Quantum phase estimation with lossy interferometers
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Phase estimation withouta prioriphase knowledge in the presence of loss
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Scaling laws for precision in quantum interferometry and the bifurcation landscape of the optimal state
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Quantum metrology with imperfect states and detectors
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Ultimate sensitivity of precision measurements with intense Gaussian quantum light: A multimodal approach
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Quantum interferometry with and without an external phase reference
inferredcites →https://doi.org/10.1103/physrevd.23.1693openalex-snapshot
Quantum-mechanical noise in an interferometer
inferredcites →https://doi.org/10.1103/physrevlett.100.073601openalex-snapshot
Mach-Zehnder Interferometry at the Heisenberg Limit with Coherent and Squeezed-Vacuum Light
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Optimal Quantum Phase Estimation
inferredcites →https://doi.org/10.1103/physrevlett.104.093602openalex-snapshot
Sub-Projection-Noise Sensitivity in Broadband Atomic Magnetometry
inferredcites →https://doi.org/10.1103/physrevlett.104.133601openalex-snapshot
Quantum Noise Limited and Entanglement-Assisted Magnetometry
inferredcites →https://doi.org/10.1103/physrevlett.105.180402openalex-snapshot
General Optimality of the Heisenberg Limit for Quantum Metrology
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Optical Phase Estimation in the Presence of Phase Diffusion
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Real-World Quantum Sensors: Evaluating Resources for Precision Measurement
inferredcites →https://doi.org/10.1103/physrevlett.72.3439openalex-snapshot
Statistical distance and the geometry of quantum states
inferredcites →https://doi.org/10.1103/physrevlett.79.3865openalex-snapshot
Improvement of Frequency Standards with Quantum Entanglement
inferredcites →https://doi.org/10.1103/physrevlett.85.5098openalex-snapshot
Optimal States and Almost Optimal Adaptive Measurements for Quantum Interferometry
inferredcites →https://doi.org/10.1103/physrevlett.86.5870openalex-snapshot
Experimental Demonstration of Entanglement-Enhanced Rotation Angle Estimation Using Trapped Ions
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Stability of Atomic Clocks Based on Entangled Atoms
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Multiphoton Path Entanglement by Nonlocal Bunching
inferredcites →https://doi.org/10.1103/physrevlett.98.090401openalex-snapshot
Generalized Limits for Single-Parameter Quantum Estimation
inferredcites →https://doi.org/10.1103/physrevlett.98.223601openalex-snapshot
Time-Reversal and Super-Resolving Phase Measurements
inferredcites →https://doi.org/10.1109/tit.2008.929940openalex-snapshot
Parameter Estimation of Quantum Channels
inferredcites →https://doi.org/10.1126/science.1097576openalex-snapshot
Toward Heisenberg-Limited Spectroscopy with Multiparticle Entangled States
inferredcites →https://doi.org/10.1126/science.1104149openalex-snapshot
Quantum-Enhanced Measurements: Beating the Standard Quantum Limit
inferredcites →https://doi.org/10.1126/science.1138007openalex-snapshot
Beating the Standard Quantum Limit with Four-Entangled Photons
inferredcites →https://doi.org/10.1134/s1054660x10090306openalex-snapshot
Multi-pass classical vs. quantum strategies in lossy phase estimation
inferredcites →https://doi.org/10.1142/s0219749909004839openalex-snapshot
QUANTUM ESTIMATION FOR QUANTUM TECHNOLOGY
inferredcites →https://doi.org/10.48550/arxiv.1006.0300openalex-snapshot
On metric of quantum channel spaces
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Distributed Phase Estimation at the Heisenberg Limit with Classical Light
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Experimental Joint Estimation of Phase and Phase Diffusion Via Deterministic Bell Measurements
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Improving the Precision of Multiparameter Estimation in the Teleportation of Qutrit under Amplitude Damping Noise
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Coherent Control of the Dynamics of Quantum Fisher Information and Geometric Phase in a 1D Photonic Crystal Waveguide
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Quantum Interference in Atomic Systems
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Three‐Photon High‐Order Orbital Angular Momentum NOON States for Sub‐Shot‐Noise Angular Measurement
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Bi‐Frequency Illumination: A Quantum‐Enhanced Protocol
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Optimal Scheme for Quantum Metrology
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Cooperation between Coherent Control and Noises in Quantum Metrology
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Classical Emulation of Bright Quantum States
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Quantum Metrology in the Noisy Intermediate‐Scale Quantum Era
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Quantum Parameter Estimation With Graph States In SU(N) Dynamics
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Quantum Metrology Assisted by Machine Learning
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Fully‐Optimized Quantum Metrology: Framework, Tools, and Applications
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Differential Frequency Comparison of Conditionally and Unconditionally Spin‐Squeezed States of an Optical Lattice Clock
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Trade‐Off Relation Between Integrated Metrological Gain and Local Dissipation in Magnetic‐Field Sensing by Quantum Spin Ensemble
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Visibility-Engineered Multiparameter Sensing in Dispersive Quantum Interferometry: Identifiability, Noise Robustness, and Hardware Emulation
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The Role of Monitoring Time and Detectors Efficiencies in Time-Continuous Quantum Magnetometry
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Surpassing the Quantum Limit
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The Quantum Noise Limit for a Specific Measurement
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An Analysis of the Stationary Operation of Atomic Clocks
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The precision of Mach–Zehnder interferometer in the presence of bit-phase flip
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The Effect of Vacuum Fluctuations on Quantum Metrology for a Uniformly Accelerated Atom
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The Precision of Parameter Estimation for Dephasing Model Under Squeezed Reservoir
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Quantum Speed Limit Under the Influence of Measurement-based Feedback Control
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Stronger Uncertainty Relations Based on Wigner-Yanase Skew Information with Refined Sequence
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Protection of quantum Fisher information in entangled states via classical driving
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Noisy metrology: a saturable lower bound on quantum Fisher information
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Two-mode Gaussian product states in a lossy interferometer
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Protection of quantum Fisher information for multiple phases in open quantum systems
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Characterization of classical static noise via qubit as probe
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Precision protection through multi-body indirect correlations and the reconstruction of stable probe qubit system
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Connection of coherence measure and unitary evolutions
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Achieving the Heisenberg limit under general Markovian noise using quantum error correction without ancilla
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Ancilla-assisted frequency estimation under phase covariant noises with Greenberger–Horne–Zeilinger states
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Geometric distinguishability measures limit quantum channel estimation and discrimination
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The effect of nonequilibrium entropy production on the quantum Fisher information and correlations
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Ameliorated phase sensitivity through intensity measurements in a Mach–Zehnder interferometer
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Quantum Fisher information and entanglement of a dissipative hybrid optomechanical system with multi-photon transition
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Adaptive error-mitigated quantum sensing with syndrome-conditioned Bayesian estimation
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Multi-channel quantum parameter estimation
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Quantum superreplication of states and gates
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Noise-resilient quantum metrology using entangled multi-qubit states: robustness analysis and measurement strategies
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Heisenberg scaling with weak measurement: a quantum state discrimination point of view
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Quantum lock-in measurement of weak alternating signals
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Quantum Limits in Optical Interferometry
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Quantum speed limit and topological quantum phase transition in an extended XY model
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Quantum speed limit for a three-qubit system in spin-chain environment with multisite interaction
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Indefinite causal order for quantum metrology with quantum thermal noise
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Indefinite causal order for parameter estimation of channel with depolarization noise
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Direct demonstration of spin-squeezing-induced metrological enhancement on state-of-the-art optical atomic clocks
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A Molecular Approach to Quantum Sensing
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Photon-Sparse, Poisson Light-Sheet Microscopy
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Quantum Sensing with Squeezed Light
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Realization of the first sub-shot-noise wide field microscope
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Mode engineering for realistic quantum-enhanced interferometry
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Optimal adaptive control for quantum metrology with time-dependent Hamiltonians
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Joint estimation of phase and phase diffusion for quantum metrology
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Robust quantum metrological schemes based on protection of quantum Fisher information
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Biological measurement beyond the quantum limit
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Heisenberg-scaling measurement of the single-photon Kerr non-linearity using mixed states
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Continuous-variable tomography of solitary electrons
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Tensor-network approach for quantum metrology in many-body quantum systems
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Quantum metrology with imperfect measurements
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Informationally complete distributed metrology without a shared reference frame
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Quantum parameter estimation with general dynamics
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Single-photon pulse induced giant response in N > 100 qubit system
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A variational toolbox for quantum multi-parameter estimation
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Experimental critical quantum metrology with the Heisenberg scaling
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Approaching Heisenberg-scalable thermometry with built-in robustness against noise
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Determination of the asymptotic limits of adaptive photon counting measurements for coherent-state optical phase estimation
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Preparation of metrological states in dipolar-interacting spin systems
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Approximate symmetries and quantum error correction
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Finding the optimal probe state for multiparameter quantum metrology using conic programming
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Virtual purification complements quantum error correction in quantum metrology
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Time-reversal-based quantum metrology with many-body entangled states
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Approaching optimal entangling collective measurements on quantum computing platforms
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Experimental super-Heisenberg quantum metrology with indefinite gate order
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Multi-ensemble metrology by programming local rotations with atom movements
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Cavity-mediated long-range interactions in levitated optomechanics
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The effects of symmetrical arrangement on quantum metrology
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Multimode quantum states with single photons carrying orbital angular momentum
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Protecting quantum Fisher information of N-qubit GHZ state by weak measurement with flips against dissipation
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Fundamental noisy multiparameter quantum bounds
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Hybrid quantum-classical approach to enhanced quantum metrology
inferred← citeshttps://doi.org/10.1038/s41598-025-31810-8openalex-snapshot
Optimizing precision in quantum metrology through engineered environments
inferred← citeshttps://doi.org/10.1038/s42005-023-01423-6openalex-snapshot
Quantum metrology with boundary time crystals
inferred← citeshttps://doi.org/10.1038/s42005-024-01758-8openalex-snapshot
Control-enhanced non-Markovian quantum metrology
inferred← citeshttps://doi.org/10.1038/s42005-025-02383-9openalex-snapshot
Error-mitigated quantum metrology via enhanced virtual purification
inferred← citeshttps://doi.org/10.1038/srep11509openalex-snapshot
Zeno dynamics in quantum open systems
inferred← citeshttps://doi.org/10.1038/srep17894openalex-snapshot
Quantum metrology with spin cat states under dissipation
inferred← citeshttps://doi.org/10.1038/srep33254openalex-snapshot
Magnetic field sensing subject to correlated noise with a ring spin chain
inferred← citeshttps://doi.org/10.1038/srep38149openalex-snapshot
Fundamental Speed Limits to the Generation of Quantumness
inferred← citeshttps://doi.org/10.1063/5.0028996openalex-snapshot
Novel hermetically sealed device to realize unconventional phonon blockade at near-micron dimensions and milliKelvin temperatures
inferred← citeshttps://doi.org/10.1063/5.0050235openalex-snapshot
Improving cold-atom sensors with quantum entanglement: Prospects and challenges
inferred← citeshttps://doi.org/10.1063/5.0060552openalex-snapshot
Prospects in x-ray science emerging from quantum optics and nanomaterials
inferred← citeshttps://doi.org/10.1063/5.0121372openalex-snapshot
Entanglement-enhanced optical atomic clocks
inferred← citeshttps://doi.org/10.1063/5.0174536openalex-snapshot
Quantum discord and Fisher information for two-qubit system in the presence of thermal fields
inferred← citeshttps://doi.org/10.1063/5.0220546openalex-snapshot
Classical and quantum frequency combs for satellite-based clock synchronization
inferred← citeshttps://doi.org/10.1063/5.0232183openalex-snapshot
Quantum photonics sensing in biosystems
inferred← citeshttps://doi.org/10.1073/pnas.1603346113openalex-snapshot
Witnessing entanglement without entanglement witness operators
inferred← citeshttps://doi.org/10.1073/pnas.2210037120openalex-snapshot
Video-rate Raman-based metabolic imaging by Airy light-sheet illumination and photon-sparse detection
inferred← citeshttps://doi.org/10.1073/pnas.2412261122openalex-snapshot
Near-zero photon bioimaging by fusing deep learning and ultralow-light microscopy
inferred← citeshttps://doi.org/10.1080/00107514.2016.1178472openalex-snapshot
Photonic quantum information processing
inferred← citeshttps://doi.org/10.1080/00107514.2023.2292380openalex-snapshot
Quantum light microscopy
inferred← citeshttps://doi.org/10.1080/00107514.2025.2469974openalex-snapshot
Quantum multiphase estimation
inferred← citeshttps://doi.org/10.1080/09500340.2021.1951385openalex-snapshot
Improving phase sensitivity of interferometers by inverse operations
inferred← citeshttps://doi.org/10.1080/23746149.2016.1230476openalex-snapshot
Multi-parameter quantum metrology
inferred← citeshttps://doi.org/10.1088/0253-6102/61/1/08openalex-snapshot
Quantum Fisher Information for Density Matrices with Arbitrary Ranks
inferred← citeshttps://doi.org/10.1088/0253-6102/65/2/225openalex-snapshot
Heisenberg Limit Phase Sensitivity in the Presence of Decoherence Channels
inferred← citeshttps://doi.org/10.1088/0253-6102/67/4/383openalex-snapshot
Prefect Protection of Quantum-Enhanced Metrology from Dephasing Noise*
inferred← citeshttps://doi.org/10.1088/0253-6102/71/1/37openalex-snapshot
Enhancement of Sensitivity by Initial Phase Matching in SU(1,1) Interferometers*
inferred← citeshttps://doi.org/10.1088/0953-4075/48/3/035502openalex-snapshot
Precision limit of atomic magnetometers in the presence of spin-destruction collisions
inferred← citeshttps://doi.org/10.1088/1361-6382/ac7b05openalex-snapshot
Detection of gravitational waves using parametric resonance in Bose–Einstein condensates
inferred← citeshttps://doi.org/10.1088/1361-6455/acf017openalex-snapshot
Monitoring variations of refractive index via Hilbert–Schmidt speed and applying this phenomenon to improve quantum metrology
inferred← citeshttps://doi.org/10.1088/1361-6528/ae6dcaopenalex-snapshot
Quantum sensing for precision agriculture and environmental monitoring: opportunities and challenges
inferred← citeshttps://doi.org/10.1088/1361-6633/ae00d8openalex-snapshot
Quantum metrology with a continuous-variable system
inferred← citeshttps://doi.org/10.1088/1361-6633/ae213dopenalex-snapshot
Bayesian frequency metrology with optimal Ramsey interferometry in optical atomic clocks
inferred← citeshttps://doi.org/10.1088/1367-2630/15/7/073005openalex-snapshot
Quantum metrology with open dynamical systems
inferred← citeshttps://doi.org/10.1088/1367-2630/15/7/073043openalex-snapshot
Efficient tools for quantum metrology with uncorrelated noise
inferred← citeshttps://doi.org/10.1088/1367-2630/16/1/015023openalex-snapshot
Dissipative quantum metrology in manybody systems of identical particles
inferred← citeshttps://doi.org/10.1088/1367-2630/16/10/103037openalex-snapshot
Quantum metrology with Dicke squeezed states
inferred← citeshttps://doi.org/10.1088/1367-2630/16/11/113002openalex-snapshot
Bayesian quantum frequency estimation in presence of collective dephasing
inferred← citeshttps://doi.org/10.1088/1367-2630/16/11/113074openalex-snapshot
Phase-noise protection in quantum-enhanced differential interferometry
inferred← citeshttps://doi.org/10.1088/1367-2630/16/7/073039openalex-snapshot
Quantum metrology subject to spatially correlated Markovian noise: restoring the Heisenberg limit
inferred← citeshttps://doi.org/10.1088/1367-2630/16/8/083010openalex-snapshot
Optimal quantum states for frequency estimation
inferred← citeshttps://doi.org/10.1088/1367-2630/17/1/013010openalex-snapshot
True precision limits in quantum metrology
inferred← citeshttps://doi.org/10.1088/1367-2630/17/11/113055openalex-snapshot
Quantum estimation via sequential measurements
inferred← citeshttps://doi.org/10.1088/1367-2630/17/7/073032openalex-snapshot
Quantum metrology for the Ising Hamiltonian with transverse magnetic field
inferred← citeshttps://doi.org/10.1088/1367-2630/17/8/083027openalex-snapshot
Detecting metrologically useful entanglement in the vicinity of Dicke states
inferred← citeshttps://doi.org/10.1088/1367-2630/18/10/103049openalex-snapshot
Probabilistic metrology or how some measurement outcomes render ultra-precise estimates
inferred← citeshttps://doi.org/10.1088/1367-2630/18/7/073034openalex-snapshot
Dynamical decoupling leads to improved scaling in noisy quantum metrology
inferred← citeshttps://doi.org/10.1088/1367-2630/18/8/083035openalex-snapshot
The quantum Allan variance
inferred← citeshttps://doi.org/10.1088/1367-2630/18/9/093009openalex-snapshot
Valid lower bound for all estimators in quantum parameter estimation
inferred← citeshttps://doi.org/10.1088/1367-2630/aa53d1openalex-snapshot
Improving the phase super-sensitivity of squeezing-assisted interferometers by squeeze factor unbalancing
inferred← citeshttps://doi.org/10.1088/1367-2630/aa7144openalex-snapshot
Flexible resources for quantum metrology
inferred← citeshttps://doi.org/10.1088/1367-2630/aa723dopenalex-snapshot
Maximal quantum Fisher information matrix
inferred← citeshttps://doi.org/10.1088/1367-2630/aa73b0openalex-snapshot
Optimal lossy quantum interferometry in phase space
inferred← citeshttps://doi.org/10.1088/1367-2630/aa7a7bopenalex-snapshot
Super-additivity in communication of classical information through quantum channels from a quantum parameter estimation perspective
inferred← citeshttps://doi.org/10.1088/1367-2630/aa8085openalex-snapshot
High-fidelity spin measurement on the nitrogen-vacancy center
inferred← citeshttps://doi.org/10.1088/1367-2630/aa874copenalex-snapshot
Fidelity and Fisher information on quantum channels
inferred← citeshttps://doi.org/10.1088/1367-2630/aa8b01openalex-snapshot
Quantum metrology in local dissipative environments
inferred← citeshttps://doi.org/10.1088/1367-2630/aa9840openalex-snapshot
Ultimate limits for quantum magnetometry via time-continuous measurements
inferred← citeshttps://doi.org/10.1088/1367-2630/aab67fopenalex-snapshot
Fundamental limits to frequency estimation: a comprehensive microscopic perspective
inferred← citeshttps://doi.org/10.1088/1367-2630/aac484openalex-snapshot
Maximal coherence and the resource theory of purity
inferred← citeshttps://doi.org/10.1088/1367-2630/aac5b6openalex-snapshot
Energy-efficient quantum frequency estimation
inferred← citeshttps://doi.org/10.1088/1367-2630/aad4e5openalex-snapshot
Noisy frequency estimation with noisy probes
inferred← citeshttps://doi.org/10.1088/1367-2630/ab099eopenalex-snapshot
Quantum speed limits under continuous quantum measurements
inferred← citeshttps://doi.org/10.1088/1367-2630/ab1fc2openalex-snapshot
Many-body effects in quantum metrology
inferred← citeshttps://doi.org/10.1088/1367-2630/ab3fbbopenalex-snapshot
Time-energy filtering of single electrons in ballistic waveguides
inferred← citeshttps://doi.org/10.1088/1367-2630/ab4099openalex-snapshot
Optimal quantum interferometry robust to detection noise using spin-1 atomic condensates
inferred← citeshttps://doi.org/10.1088/1367-2630/ab61d6openalex-snapshot
Quantum magnetometry using two-stroke thermal machines
inferred← citeshttps://doi.org/10.1088/1367-2630/ab81b8openalex-snapshot
Scale-invariant spin dynamics and the quantum limits of field sensing
inferred← citeshttps://doi.org/10.1088/1367-2630/ab965eopenalex-snapshot
Variational-state quantum metrology
inferred← citeshttps://doi.org/10.1088/1367-2630/abf533openalex-snapshot
Practical limits of error correction for quantum metrology
inferred← citeshttps://doi.org/10.1088/1367-2630/ac04caopenalex-snapshot
Incompatibility in quantum parameter estimation
inferred← citeshttps://doi.org/10.1088/1367-2630/ac1186openalex-snapshot
RLD Fisher information bound for multiparameter estimation of quantum channels
inferred← citeshttps://doi.org/10.1088/1367-2630/ac3571openalex-snapshot
Average number is an insufficient metric for interferometry
inferred← citeshttps://doi.org/10.1088/1367-2630/ac3b71openalex-snapshot
Noisy atomic magnetometry in real time
inferred← citeshttps://doi.org/10.1088/1367-2630/ac92a2openalex-snapshot
Frequency estimation under non-Markovian spatially correlated quantum noise
inferred← citeshttps://doi.org/10.1088/1367-2630/ad3be5openalex-snapshot
Photon number resolving detection with a single-photon detector and adaptive storage loop
inferred← citeshttps://doi.org/10.1088/1367-2630/ad5c95openalex-snapshot
Critical non-Hermitian topology induced quantum sensing
inferred← citeshttps://doi.org/10.1088/1367-2630/ad5eafopenalex-snapshot
Optimal multiple-phase estimation with multi-mode NOON states against photon loss
inferred← citeshttps://doi.org/10.1088/1367-2630/ad5eb0openalex-snapshot
Quantum-enhanced joint estimation of phase and phase diffusion
inferred← citeshttps://doi.org/10.1088/1367-2630/add8b0openalex-snapshot
Quantum sensing with topological-paired bound states
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