Metrological Nonlinear Squeezing Parameter
arXiv:1811.12443 · doi:10.1103/PhysRevLett.122.090503
Abstract
The well known metrological linear squeezing parameters (such as quadrature or spin squeezing) efficiently quantify the sensitivity of Gaussian states. Yet, these parameters are insufficient to characterize the much wider class of highly sensitive non-Gaussian states. Here, we introduce a class of metrological nonlinear squeezing parameters obtained by analytical optimization of measurement observables among a given set of accessible (possibly nonlinear) operators. This allows for the metrological characterization of non-Gaussian quantum states of discrete and continuous variables. Our results lead to optimized and experimentally-feasible recipes for high-precision moment-based estimation of a phase parameter and can be used to systematically construct multipartite entanglement and non-classicality witnesses for complex quantum states.
arXiv comment6+2 pages, 1 figure
References in corpus (59)
- Advances in Quantum Metrology
- Quantum information with continuous variables
- Gaussian Quantum Information
- Quantum metrology with nonclassical states of atomic ensembles
- Atom Interferometers
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- 14-qubit entanglement: creation and coherence
- Multi-particle entanglement of hot trapped ions
- Many-particle entanglement with Bose--Einstein condensates
- Nonlinear atom interferometer surpasses classical precision limit
- Atom chip based generation of entanglement for quantum metrology
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- Quantum spin squeezing
- Quantum metrology from a quantum information science perspective
- Entanglement in continuous variable systems: Recent advances and current perspectives
- Experimental boson sampling in arbitrary integrated photonic circuits
- The Einstein-Podolsky-Rosen paradox: from concepts to applications
- On the impossibility of distilling Gaussian states with Gaussian operations
- Reconstruction of non-classical cavity field states with snapshots of their decoherence
- Fisher information and multiparticle entanglement
- Ultra-Large-Scale Continuous-Variable Cluster States Multiplexed in the Time Domain
- The characterization of Gaussian operations and Distillation of Gaussian States
- Multipartite entanglement and high precision metrology
- Quantum spin dynamics and entanglement generation with hundreds of trapped ions
- Implementation of Cavity Squeezing of a Collective Atomic Spin
- Wavelength-Multiplexed Quantum Networks with Ultrafast Frequency Combs
- Entanglement and Extreme Spin Squeezing
- Detecting genuine multipartite continuous-variable entanglement
- Hybrid quantum information processing
- Twin matter waves for interferometry beyond the classical limit
- Fisher Information and entanglement of non-Gaussian spin states
- Efficient Classical Simulation of Continuous Variable Quantum Information Processes
- Non-gaussian statistics from individual pulses of squeezed light
- Gaussian transformations and distillation of entangled Gaussian states
- Quantum information with Gaussian states
- Quantum Metrology for Gravitational Wave Astronomy
- Sub-Planck spots of Schroedinger cats and quantum decoherence
- Magnetic sensitivity beyond the projection noise limit by spin squeezing
- Spatial entanglement patterns and Einstein-Podolsky-Rosen steering in a Bose-Einstein condensate
- Deterministic Squeezed States with Joint Measurements and Feedback
- Spatially distributed multipartite entanglement enables Einstein-Podolsky-Rosen steering of atomic clouds
- Spin squeezing and entanglement
- Bell Correlations in a Bose-Einstein Condensate
- Atomic homodyne detection of continuous variable entangled twin-atom states
- Detecting non-locality in multipartite quantum systems with two-body correlation functions
- Optimal quantum-enhanced interferometry using a laser power source
- Gaussian states in continuous variable quantum information
- 0.75 atoms improve the clock signal of 10,000 atoms
- Motional Fock states for quantum-enhanced amplitude and phase measurements with trapped ions
- Precision quantum metrology and nonclassicality in linear and nonlinear detection schemes
- Satisfying the Einstein-Podolsky-Rosen criterion with massive particles
- Quantum-enhanced sensing using non-classical spin states of a highly magnetic atom
- Entanglement and Wigner function negativity of multimode non-Gaussian states
- Quantum metrology with one-dimensional superradiant photonic states
- Entanglement and Extreme Spin Squeezing for a Fluctuating Number of Indistinguishable Particles
- Tighter quantum uncertainty relations follow from a general probabilistic bound
- Fast and optimal generation of entanglement in bosonic Josephson junctions
- Entanglement and squeezing in continuous-variable systems
- Resolution-enhanced entanglement detection
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- Cubic nonlinear squeezing and its decoherence
- Spin-squeezed states for metrology
- Threshold for a discrete-variable sensor of quantum reservoirs
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- Collective randomized measurements in quantum information processing
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- Non-gaussian Entanglement Swapping between Three-Mode Spontaneous Parametric Down Conversion and Three Qubits
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- Encrypted quantum correlations: Delayed choice of quantum statistics and other applications
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