Detector-Agnostic Phase-Space Distributions
arXiv:1904.10893 · doi:10.1103/PhysRevLett.124.013605
Abstract
The representation of quantum states via phase-space functions constitutes an intuitive technique to characterize light. However, the reconstruction of such distributions is challenging as it demands specific types of detectors and detailed models thereof to account for their particular properties and imperfections. To overcome these obstacles, we derive and implement a measurement scheme that enables a reconstruction of phase-space distributions for arbitrary states whose functionality does not depend on the knowledge of the detectors, thus defining the notion of detector-agnostic phase-space distributions. Our theory presents a generalization of well-known phase-space quasiprobability distributions, such as the Wigner function. We implement our measurement protocol, using state-of-the-art transition-edge sensors without performing a detector characterization. Based on our approach, we reveal the characteristic features of heralded single- and two-photon states in phase space and certify their nonclassicality with high statistical significance.
References in corpus (39)
- Photonic quantum technologies
- Continuous-variable optical quantum state tomography
- Quantum state reconstruction of the single-photon Fock state
- Quantum state estimation
- Iterative maximum-likelihood reconstruction in quantum homodyne tomography
- Quantum inseparability as local pseudomixture
- A bright, pulsed two-mode squeezer
- Entanglement with Negative Wigner Function of Three Thousand Atoms Heralded by One Photon
- Maximum-likelihood estimation of quantum measurement
- Measuring Measurement: Theory and Practice
- Experimental determination of a nonclassical Glauber-Sudarshan P function
- Probing the negative Wigner function of a pulsed single photon point by point
- Sub-binomial light
- Nonclassicality filters and quasiprobabilities
- Direct observation of sub-binomial light
- Tomography of photon-number resolving continuous-output detectors
- Quantum state engineering by click counting
- Counting Near Infrared Photons with Microwave Kinetic Inductance Detectors
- Quasiprobability representation of quantum coherence
- Nonlinearity in Single Photon Detection: Modeling and Quantum Tomography
- Representation of entanglement by negative quasi-probabilities
- Absolute efficiency estimation of photon-number-resolving detectors using twin beams
- Absolute detector calibration using twin beams
- Revealing nonclassicality beyond Gaussian states via a single marginal distribution
- A proposed testbed for detector tomography
- Incomplete Detection of Nonclassical Phase-Space Distributions
- Universal Model for the Turn-on Dynamics of Superconducting Nanowire Single-Photon Detectors
- Quantitative tomography for continuous variable quantum systems
- Detector-Independent Verification of Quantum Light
- Nonclassicality Phase-Space Functions: More Insight with Fewer Detectors
- Local sampling of the Wigner function at telecom wavelength with loss-tolerant detection of photon statistics
- Direct calibration of click-counting detectors
- Negative Wigner function at telecommunication wavelength from homodyne detection
- Numerical reconstruction of photon-number statistics from photocounting statistics: Regularization of an ill-posed problem
- Identification of nonclassical properties of light with multiplexing layouts
- Balanced homodyne detection with on-off detector systems: Observable nonclassicality criteria
- Husimi's function and quantum interference in phase space
- Sub-Poisson-Binomial Light
- Experimental Reconstruction of Entanglement Quasiprobabilities
Cited by in corpus (8)
- Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
- Tuning between photon-number and quadrature measurements with weak-field homodyne detection
- Quasiprobability distributions for quantum-optical coherence and beyond
- Probing nonclassicality with matrices of phase-space distributions
- Nonclassicality detection from few Fock-state probabilities
- Experimental certification of nonclassicality via phase-space inequalities
- Statistical Benchmarking of Scalable Photonic Quantum Systems
- Experimental retrieval of photon statistics from click detection