Precision quantum metrology and nonclassicality in linear and nonlinear detection schemes
arXiv:1002.3075 · doi:10.1103/PhysRevLett.105.010403
Abstract
We examine whether metrological resolution beyond coherent states is a nonclassical effect. We show that this is true for linear detection schemes but false for nonlinear schemes, and propose a very simple experimental setup to test it. We find a nonclassicality criterion derived from quantum Fisher information.
4 pages, 1 figure
References in corpus (23)
- Quantum metrology
- On the Improvement of Frequency Stardards with Quantum Entanglement
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- Super-resolving phase measurements with a multi-photon entangled state
- De Broglie Wavelength of a Nonlocal Four-Photon
- Generalized Limits for Single-Parameter Quantum Estimation
- Quantum Metrology: Dynamics vs. Entanglement
- Spin squeezing inequalities and entanglement of qubit states
- Exponentially Enhanced Quantum Metrology
- Quantum-limited metrology with product states
- Nonclassical interferometry with intelligent light
- A nonlinear Ramsey interferometer operating beyond the Heisenberg limit
- Nonlinear quantum metrology using coupled nanomechanical resonators
- Quantum-limited metrology and Bose-Einstein condensates
- Quantum limited measurements of atomic scattering properties
- Nonclassicality in Weak Measurements
- Nonclassical Properties of Coherent States
- Magnetometry via a double-pass continuous quantum measurement of atomic spin
- Optimal estimation of squeezing
- Classical Bound for Mach-Zehnder Super-Resolution
- Nonclassicality of Thermal Radiation
- Intrinsic metrological resolution as a distance measure and nonclassical light
- Joint estimation of real squeezing and displacement
Cited by in corpus (51)
- Advances in Quantum Metrology
- Quantum metrology with nonclassical states of atomic ensembles
- Quantum metrology with entangled coherent states
- Quantum enhanced measurements without entanglement
- Fisher information under decoherence in Bloch representation
- Quantum Metrology in Open Systems: Dissipative Cramér-Rao Bound
- Quantum metrology for a general Hamiltonian parameter
- Nonclassicality as a Quantifiable Resource for Quantum Metrology
- Quantum Fisher information as signature of superradiant quantum phase transition
- Entanglement and sensitivity in precision measurements with states of a fluctuating number of particles
- Motional Fock states for quantum-enhanced amplitude and phase measurements with trapped ions
- Quantum metrology for non-linear phase shifts with entangled coherent states
- Metrological Nonlinear Squeezing Parameter
- Flexible resources for quantum metrology
- Operational resource theory of continuous-variable nonclassicality
- Quantum Fisher information from randomized measurements
- Random bosonic states for robust quantum metrology
- Multiparameter squeezing for optimal quantum enhancements in sensor networks
- Nonclassical Light and Metrological Power: An Introductory Review
- Quantum multi-parameter estimation with generalized balanced multi-mode NOON-like states
- Heisenberg-scaling measurement of the single-photon Kerr non-linearity using mixed states
- Quantum Metrology: Extended Convexity of Quantum Fisher Information
- Quantum Fisher Information of Entangled Coherent States in a Lossy Mach-Zehnder Interferometer
- Operational Resource Theory of Nonclassicality via Quantum Metrology
- Optimal estimation with quantum optomechanical systems in the nonlinear regime
- Unbounded quantum Fisher information in two-path interferometry with finite photon number
- Sub-Quantum Fisher Information
- Robust estimation of the Quantum Fisher Information on a quantum processor
- Sub-Heisenberg-limited nonlinear phase estimation: Parity measurement approaches the quantum Cramér-Rao bound
- Continuity of the quantum Fisher information
- Quantum Fisher information matrix in Heisenberg XY model
- Entangled and sequential quantum protocols with dephasing
- Does relativistic motion always degrade quantum Fisher information?
- Enhanced estimation of loss in the presence of Kerr nonlinearity
- Phase estimation by photon counting measurements in the output of a linear Mach Zehnder (MZI) interferometer
- Characterizing Multipartite Non-Gaussian Entanglement for Three-Mode Spontaneous Parametric Down-Conversion Process
- Supersensitivity of Kerr phase estimation with two-mode squeezed vacuum states
- Estimation of a parameter encoded in the modal structure of a light beam: a quantum theory
- Quantum Fisher information and spin squeezing in one-axis twisting model
- Quantum metrology with a continuous-variable system
- Krylov shadow tomography: Efficient estimation of quantum Fisher information
- Generating nonlinearities from conditional linear operations, squeezing and measurement for quantum computation and super-Heisenberg sensing
- Nonlinear Michelson interferometer for improved quantum metrology
- Nonlinear fiber gyroscope for quantum metrology
- Remote Phase Sensing by Coherent Single Photon Addition
- Estimation of covariance matrix of macroscopic quantum states
- Achieving quantum metrological performance and exact Heisenberg limit precision through superposition of -spin coherent states
- Michelson interferometer for measuring temperature
- Many-body quantum metrology with scalar bosons in a single potential well
- Nonclassical radiation from a nonlinear oscillator driven solely by classical noise
- Nonclassical states of light in a nonlinear Michelson interferometer