Nonclassicality of states and measurements by breaking classical bounds on statistics
arXiv:0809.3034 · doi:10.1103/PhysRevA.79.042105
Abstract
We derive exceedingly simple practical procedures revealing the quantum nature of states and measurements by the violation of classical upper bounds on the statistics of arbitrary measurements. Data analysis is minimum and definite conclusions are obtained without evaluation of moments, or any other more sophisticated procedures. These nonclassical tests are independent of other typical quantum signatures such as sub-Poissonian statistics, quadrature squeezing, or oscillatory statistics. This approach can be equally well applied to very diverse situations such as single- and two-mode fields, observables with continuous and discrete spectra, finite- and infinite-dimensional systems, and ideal and noisy measurements.
arXiv comment13 pages, 3 figure, minor changes, final version
References in corpus (13)
- Symplectic tomography as classical approach to quantum systems
- Measuring measurement
- Negativity and contextuality are equivalent notions of nonclassicality
- Experimental nonclassicality of single-photon-added thermal light states
- Maximum-likelihood estimation of quantum measurement
- Nonclassical Moments and their Measurement
- Experimental determination of a nonclassical Glauber-Sudarshan P function
- Classicality of spin states
- Nonclassical character of statistical mixtures of the single-photon and vacuum optical states
- A proposed testbed for detector tomography
- Detection of quantum light in the presence of noise
- Characterization of quantum angular-momentum fluctuations via principal components
- A simple test of quantumness for a single system
Cited by in corpus (26)
- Testing nonclassicality in multimode fields: a unified derivation of classical inequalities
- Nonclassicality Quasiprobability of Single-Photon Added Thermal States
- Direct Sampling of Negative Quasiprobabilities of a Squeezed State
- Phase-space inequalities beyond negativities
- Probing nonclassicality with matrices of phase-space distributions
- Classical Bound for Mach-Zehnder Super-Resolution
- Nonclassicality Phase-Space Functions: More Insight with Fewer Detectors
- Phase Control of the Quantum Statistics of Collective Emission
- Complete nonclassicality test with a photon-number resolving detector
- Classical and quantum-mechanical phase space distributions
- Nonclassical states from the joint statistics of simultaneous measurements
- Dual form of the phase-space classical simulation problem in quantum optics
- Quantum interference and non-locality of independent photons from disparate sources
- Coherence-based operational nonclassicality criteria
- Multicopy observables for the detection of optically nonclassical states
- Angular-momentum nonclassicality by breaking classical bounds on statistics
- Photon-number resolution with microwave Josephson photomultipliers
- Operational definition of quantum correlations of light
- Tight inequalities for nonclassicality of measurement statistics
- Nonclassical correlations of radiation in relation to Bell nonlocality
- Independent nonclassical tests for states and measurements in the same experiment
- Single-measurement Bell analysis
- Nonclassical photocounting statistics with a single on-off detector
- Characterization of Generalized Coherent States through Intensity-Field Correlations
- Latent optical nonclassicality of conditionally prepared states
- Nonclassical detectors and nonclassicality