Quantum Nonlocality in Phase Space

Abstract

We propose an experiment demonstrating the nonlocality of a quantum singlet-like state generated from a single photon incident on a beam splitter. Each of the two spatially separated apparatuses in the setup performs a strongly unbalanced homodyning, employing a single photon counting detector. We show that the correlation functions violating the Bell inequalities in the proposed experiment are given by the joint two-mode Q-function and the Wigner function of the optical singlet-like state. This establishes a direct relationship between two intriguing aspects of quantum mechanics: the nonlocality of entangled states and the noncommutativity of quantum observables, which underlies the nonclassical structure of phase space quasidistribution functions.

4 pages, REVTeX

References in corpus (3)

• Quantum optics in the phase space - A tutorial on Gaussian states
• Nonlocality of Einstein-Podolsky-Rosen State in Wigner Representation
• EPR correlations and EPW distributions revisited

Cited by in corpus (214)

• Bell nonlocality
• Continuous-variable optical quantum state tomography
• Scalable photonic quantum computation through cavity-assisted interaction
• Negativity of the Wigner function as an indicator of nonclassicality
• Quantum state reconstruction of the single-photon Fock state
• Positive Wigner functions render classical simulation of quantum computation efficient
• Spatial correlations in parametric down-conversion
• A Schrodinger Cat Living in Two Boxes
• Non-Gaussian Quantum States and Where to Find Them
• One-way Einstein-Podolsky-Rosen Steering
• Proposed Test of Quantum Nonlocality for Continuous Variables
• Quantifying non-Gaussianity for quantum information
• Maximal Violation of Bell's Inequalities for Continuous Variable Systems
• Direct measurement of the Wigner function by photon counting
• Convex resource theory of non-Gaussianity
• Quantum nonlocality test for continuous-variable states with dichotomic observables
• Quantum versus Classical Domains for Teleportation with Continuous Variables
• The parity operator in quantum optical metrology
• Discrete Wigner functions and quantum computational speedup
• Trusted Noise in Continuous-Variable Quantum Key Distribution: a Threat and a Defense
• Homodyne tomography characterization and nonlocality of a dual-mode optical qubit
• GHZ-type and W-type entangled coherent states: generation and Bell-type inequality tests without photon counting
• Quantum receiver beyond the standard quantum limit of coherent optical communication
• Observing Dirac's classical phase space analog to the quantum state
• Bell inequalities for continuous-variable correlations
• Observation of micro-macro entanglement of light
• Dynamics of Nonlocality for A Two-Mode Squeezed State in Thermal Environment
• Non-Gaussianity as a signature of a quantum theory of gravity
• Classical analogue of displaced Fock states and quantum correlations in Glauber-Fock photonic lattices
• Deterministic protocol for mapping a qubit to coherent state superpositions in a cavity
• Non-classicality criteria from phase-space representations and information-theoretical constraints are maximally inequivalent
• Obstructions to Bell CMB Experiments
• Bound entanglement and continuous variables
• Equivalence between contextuality and negativity of the Wigner function for qudits
• Visualizing operators of coupled spin systems
• Strong Violations of Bell-type Inequalities for Path-Entangled Number States
• Quantum and classical correlations of intense beams of light via joint photodetection
• Greenberger-Horne-Zeilinger nonlocality in phase space
• Bell's Inequality Violation (BIQV) with Non-Negative Wigner Function
• Quantum Nonlocality for a Mixed Entangled Coherent State
• Demonstration of EPR steering using single-photon path entanglement and displacement-based detection
• Schemes for quantum entanglement concentration of two unknown partially entangled states with cross-Kerr nonlinearity
• Optomechanical Bell test
• Classical phase-space descriptions of continuous-variable teleportation
• Quantum teleportation in the spin-orbit variables of photon pairs
• Revealing Genuine Optical-Path Entanglement
• Bell Inequalities for Quantum Optical Fields
• Testing nonclassicality and non-Gaussianity in phase space
• Effect of noise and enhancement of nonlocality in on/off photodetection
• Violation of Bell-CHSH inequality using imperfect photodetectors with optical hybrid states
• Boson sampling with displaced single-photon Fock states versus single-photon-added coherent states---The quantum-classical divide and computational-complexity transitions in linear optics
• Setting up experimental Bell test with reinforcement learning
• Violation of multi-particle Bell inequalities for low and high flux parametric amplification using both vacuum and entangled input states
• More nonlocality with less entanglement in a tripartite atom-optomechanical system
• Tomographic test of Bell's inequality for a time-delocalized single photon
• Phase Space Correspondence between Classical Optics and Quantum Mechanics
• State-independent quantum contextuality for continuous variables
• Leggett-Garg Inequalities for Squeezed States
• Quantum superpositions and entanglement of thermal states at high temperatures and their applications to quantum information processing
• Heralded distribution of single-photon path entanglement
• The Bell Inequality and Entanglement
• Quantum teleportation with pair-coherent states
• Testing non-local realism with entangled coherent states
• Testing nonlocality of a single photon without a shared reference frame
• Testing Bell inequalities with photon-subtracted Gaussian states
• Bell's inequality violation for entangled generalized Bernoulli states in two spatially separate cavities
• Direct measurement of optical quasidistribution functions: multimode theory and homodyne tests of Bell's inequalities
• Optimization of Bell's Inequality Violation For Continuous Variable Systems
• Bipartite temporal Bell inequalities for two-mode squeezed states
• Faithful test of non-local realism with entangled coherent states
• Testing quantum nonlocality by generalized quasiprobability functions
• Nonlocal continuous variable correlations and violation of Bell's inequality for light beams with topological singularities
• Wigner function and Schroedinger equation in phase space representation
• Hybrid methods for witnessing entanglement in a microscopic-macroscopic system
• Experimental violation of a Bell-like inequality with optical vortex beams
• Stronger steerability criterion for more uncertain continuous variable systems
• Dynamics-Based Entanglement Witnesses for Non-Gaussian States of Harmonic Oscillators
• Stabilization of nonclassical states of one- and two-mode radiation fields by reservoir engineering
• Biased EPR entanglement and its application to teleportation
• Proposal for a Bell test in cavity optomagnonics
• Searching for extremal PPT entangled states
• Can single photon excitation of two spatially separated modes lead to a violation of Bell inequality via homodyne measurements?
• Violation of Bell's Inequality in Electromechanics
• Creating and detecting micro-macro photon-number entanglement by amplifying and de-amplifying a single-photon entangled state
• Non-Gaussian pure states and positive Wigner functions
• Comparing quantumness criteria
• Real-space Bell inequalities in de Sitter
• Quantum nonlocality and applications in quantum-information processing of hybrid entangled states
• Bell operator and Gaussian squeezed states in noncommutative quantum mechanics
• Robust nonlocality tests with displacement-based measurements
• Demonstrating nonclassicality and non-Gaussianity of single-mode fields: Bell-type tests using generalized phase-space distributions
• Loophole-free Bell test for continuous variables via wave and particle correlations
• Test of quantum nonlocality for cavity fields
• Testing genuine multipartite nonlocality in phase space
• Generating arbitrary photon-number entangled states for continuous-variable quantum informatics
• Hyper- and hybrid nonlocality
• Comparing different approaches for generating random numbers device-independently using a photon pair source
• Testing Bell's inequality and measuring the entanglement using superconducting nanocircuits
• When heterodyning beats homodyning: an assessment with quadrature moments
• Maximal violation of tight Bell inequalities for maximal high-dimensional entanglement
• Test of nonlocality for a continuos-variable state based on arbitrary number of measurement outcomes
• Effects of squeezing on quantum nonlocality of superpositions of coherent states
• Two proposals for testing quantum contextuality of continuous-variable states
• Quantum Nonlocality of N-qubit W states
• Violation of Bell's inequality for continuous variables
• A tomographic approach to quantum nonlocality
• Testing macroscopic local realism using cat-states and Bell inequalities in time
• Entanglement quantification from incomplete measurements: Applications using photon-number-resolving weak homodyne detectors
• Time evolution of coupled spin systems in a generalized Wigner representation
• On detecting violation of local realism with photon-number resolving weak-field homodyne measurements
• Violation of Bell inequalities in an analogue black hole
• Bell-type inequalities for cold heteronuclear molecules
• Testing the Clauser-Horne-Shimony-Holt inequality using observables with arbitrary spectrum
• Einstein-Podolsky-Rosen steering and Bell nonlocality of two macroscopic mechanical oscillators in optomechanical systems
• Violation of Bell inequalities in larger Hilbert spaces: robustness and challenges
• Proposal for a macroscopic test of local realism with phase-space measurements
• Linear optics schemes for entanglement distribution with realistic single-photon sources
• Signifying the Schrodinger cat in the context of testing macroscopic realism
• Transport of Correlations in a Harmonic Chain
• Automated design of quantum optical experiments for device-independent quantum key distribution
• Quantifying the mesoscopic nature of the Einstein-Podolsky-Rosen nonlocality
• Greenberger-Horne-Zeilinger nonlocality for continuous variable systems
• High intensity generation of entangled photons in a two-mode electromagnetic field
• Nonlocality of Two-Mode Squeezing with Internal Noise
• Quantum illumination with multiplexed photodetection
• Multi-Component Bell Inequality and its Violation for Continuous Variable Systems
• Bell inequalities with continuous angular variables
• Two-Mode Squeezed States and Their Superposition in the Motion of Two Trapped Ions
• Violation of Bell's inequalities with pre-amplified homodyne detection
• Comment on `Single particle nonlocality with completely independent reference states'
• Optimal interferometry for Bell$-$nonclassicality by a vacuum$-$one$-$photon qubit
• Single-photon quantum nonlocality: Violation of the Clauser-Horne-Shimony-Holt inequality using feasible measurement setups
• Proposal for distribution of multi-photon entanglement with optimal rate-distance scaling
• Multiphoton Bell-type inequality: a tool to unearth nonlocality of continuous variable quantum optical systems
• Entanglement in the dispersive interaction of trapped ions with a quantized field
• Continuous Multipartite Entangled State in Wigner Representation and the Violation of Zukowski-Brukner Inequality
• Verifying single-mode nonclassicality beyond negativity in phase space
• Degree of entanglement in a quantum measurement process
• Homodyne detection of non-Gaussian quantum steering
• Two Copies of the Einstein-Podolsky-Rosen State of Light Lead to Refutation of EPR Ideas
• Non-locality of Two Ultracold Trapped Atoms
• Cosmological Bell Tests with Decoherence Effects
• Homodyne Bell's inequalities for entangled mesoscopic superpositions
• Direct Measurement of Kirkwood-Rihaczek distribution for spatial properties of coherent light beam
• Evolution and entanglement of Gaussian states in the parametric amplifier
• Different operational meanings of continuous variable Gaussian entanglement criteria and Bell inequalities
• Bell violation for unknown continuous-variable states
• Creation of a Photonic Time-bin Qubit via Parametric Interaction of Photons in a Driven Resonant Medium
• Certification of non-Gaussian Einstein-Podolsky-Rosen Steering
• Testing Bell's inequality with two-level atoms via population spectroscopy
• Non-Gaussian state generation certified using the EPR-steering inequality
• Witnessing entanglement in phase space using inefficient detectors
• Genuine tripartite entanglement and nonlocality in Bose-Einstein condensates by collective atomic recoil
• Entangled coherent states and violations of Bell-CHSH inequalities
• Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems
• Quantum entanglement and Bell violation of two coupled cavity fields in dissipative environment
• Duality in entanglement of macroscopic states of light
• Quantum nonlocality for entanglement of quasiclassical states
• Single-particle entanglement gives rise to truly nonlocal effects like single-particle steering
• Practical scheme for the optimal measuremnet in quantum interferometric devices
• Single-particle steering and nonlocality: The consecutive Stern-Gerlach Experiments
• Creation of pure multi-mode entangled states in a ring cavity
• Proposal for a quantum random number generator using coherent light an a non-classical observable
• Violations of entropic Bell inequalities with coarse-grained quadrature measurements for continuous-variable states
• Quasiprobability distributions with weak measurements
• Nonclassical correlations of radiation in relation to Bell nonlocality
• Einstein-Podolsky-Rosen-like correlation on a coherent-state basis and inseparability of two-mode Gaussian states
• Entropic uncertainty relations for mutually unbiased periodic coarse-grained observables resemble their discrete counterparts
• Generation of spatially pure photon pairs in a multimode nonlinear waveguide using intermodal dispersion
• Molecular orientation entanglement and temporal Bell-type inequalities
• Detecting Nonclassicality and quantum non-Gaussianity of photon subtracted displaced Fock state
• High-dimensional Bell test for a continuous variable state in phase space and its robustness to detection inefficiency
• Nonlocality of a free atomic wave packet
• CHSH Bell Tests For Optical Hybrid Entanglement
• Weak versus deterministic macroscopic realism, and Einstein-Podolsky-Rosen's elements of reality
• Transmission losses in optical qubits for controlled teleportation
• Quantum and semiclassical polarization correlations
• Local Hidden Variables Underpinning of Entanglement and Teleportation
• Bitwise Bell inequality violations for an entangled state involving 2N ions
• "Nonlocality-of-a-single-photon" based Quantum Key Distribution and Random Number Generation schemes and their device-independent security analysis
• Probing Mermin's inequalities violations through pseudospin operators
• No-go for device independent protocols with Tan-Walls-Collett `nonlocality of a single photon'
• Entanglement, Squeezing and non-Locality in Filtered Two-Mode Squeezed Mixed States
• Quantumness and its hierarchies in PT-symmetric down-conversion models
• Quantum entanglement in phase space
• Hybrid Entanglement Swapping for Satellite-based Quantum Communications
• Quantum Collapse Bell Inequalities
• Nearly maximal violation of the Mermin-Klyshko inequality with multimode entangled coherent states
• Engineering continuous-variable entanglement in mechanical oscillators with optimal control
• Thermalization Dynamics of Entanglement and non-Locality of Filtered Two-Mode Squeezed States
• Periodic discretized continuous observables are neither continuous nor discrete
• Complexity of quantum tomography from genuine non-Gaussian entanglement
• Analysis of single-particle nonlocality through the prism of weak measurements
• Analyzing the free states of one quantum resource theory as resource states of another
• Noise-adaptive test of quantum correlations with quasiprobability functions
• A single photon produces general W state of N qubits and its application
• Sufficient Wigner Negativity Implies Genuine Multipartite Entanglement
• Semi-device-independent randomness certification on discretized continuous-variable platforms
• Constructing local models for general measurements on bosonic Gaussian states
• A Tractable Protocol for Detection-Loophole-Free Bell Tests over Long Distances
• On the connection between quantum nonlocality and phase sensitivity of two-mode entangled Fock state superpositions
• The role of degeneracy in the analogy between continuous variable and spin 1/2 systems
• Violations of the Leggett-Garg inequality for coherent and cat states
• Sharp Contradiction for Local-Hidden-State Model in Quantum Steering
• Joint measurement of complementary observables in moment tomography
• Arbitrarily large violations of non-contextuality in single mode photon states with positive Wigner function
• Entanglement discontinuity
• Deterministic Gaussian conversion protocols for non-Gaussian single-mode resources
• Higher-order properties and Bell-inequality violation for the three-mode enhanced squeezed state
• Binary Homodyne Detection for Observing Quadrature Squeezing in Satellite Links
• All non-locally Realized Continuous Variable Bipartite Gaussian States are Entangled
• Forward-backward stochastic simulations: Q-based model for measurement and Bell-nonlocality consistent with weak local realistic premises
• Maximal Bell's Inequality Violation for Non Maximal Entanglement
• Measuring Quantum State in Phase Space