Visualizing nonclassical effects in phase space

Abstract

Nonclassicality filters provide a universal method to visualize the nonclassicality of arbitrary quantum states of light through negativities of a regularized Glauber-Sudarshan $P$ function, also denoted as nonclassicality quasiprobability. Such filters are introduced and analyzed for optimizing the experimental certification of nonclassical effects. An analytic filter is constructed which preserves the full information on the quantum state. For balanced homodyne detection, the number of data points is analyzed to get the negativities of the nonclassicality quasiprobability with high statistical significance. The method is applied to different scenarios, such as phase randomized squeezed vacuum states, single-photon-added thermal states, and heralded state engineering with array detectors. The generalization to visualize quantum correlations of multimode radiation fields is also considered.

11 pages, 8 figures

References in corpus (20)

• Quantum entanglement
• Entanglement by a beam splitter: nonclassicality as a prerequisite for entanglement
• Quantum state estimation
• Experimental nonclassicality of single-photon-added thermal light states
• The entangling power of passive optical elements
• A theorem for the beam splitter entangler
• Nonclassical Moments and their Measurement
• True photo-counting statistics of multiple on-off detectors
• Stable control of 10 dB two-mode squeezed vacuum states of light
• Experimental determination of a nonclassical Glauber-Sudarshan P function
• Quasiprobabilities for Multipartite Quantum Correlations of Light
• Nonclassical character of statistical mixtures of the single-photon and vacuum optical states
• Nonclassicality filters and quasiprobabilities
• Nonclassicality Quasiprobability of Single-Photon Added Thermal States
• Quantum state engineering by click counting
• Direct Sampling of Negative Quasiprobabilities of a Squeezed State
• Mixing nonclassical pure states in a linear-optical network almost always generates modal entanglement
• Experimental test of nonclassicality criteria
• Atomic nonclassicality quasiprobabilities
• Classical and quantum-mechanical phase space distributions

Cited by in corpus (16)

• Phase-space inequalities beyond negativities
• Quasiprobability distributions for quantum-optical coherence and beyond
• Quantum non-Gaussianity and quantification of nonclassicality
• Continuous sampling of the squeezed state nonclassicality
• Time-dependent nonlinear Jaynes-Cummings dynamics of a trapped ion
• Experimental certification of nonclassicality via phase-space inequalities
• Neural-network approach for identifying nonclassicality from click-counting data
• Quantum correlations in composite systems
• Unbalanced Homodyne Correlation Measurements
• Time-dependent quantum correlations in phase space
• Gaussian versus non-Gaussian filtering of phase-insensitive nonclassicality
• Nonclassical states of light with a smooth $P$ function
• Preparation of arbitrary quantum states with regular $P$~functions
• Quantum effects of operator time ordering in the nonlinear Jaynes-Cummings model
• Filter functions for the Glauber-Sudarshan $P$-function regularization
• Anomalous quantum correlations in the motion of a trapped ion