Maximal Violation of Bell's Inequalities for Continuous Variable Systems

Abstract

We generalize Bell's inequalities to biparty systems with continuous quantum variables. This is achieved by introducing the Bell operator in perfect analogy to the usual spin-1/2 systems. It is then demonstrated that two-mode squeezed vacuum states display quantum nonlocality by using the generalized Bell operator. In particular, the original Einstein-Podolsky-Rosen entangled states, which are the limiting case of the two-mode squeezed vacuum states, can maximally violate Bell's inequality due to Clauser, Horne, Shimony and Holt. The experimental aspect of our scheme and nonlocality of arbitrary biparticle entangled pure states of continuous variables are briefly considered.

RevTEX, 4 pages, no figure. An important note was added

References in corpus (1)

• Experimental quantum teleportation

Cited by in corpus (118)

• Quantum information with continuous variables
• Spatial correlations in parametric down-conversion
• Observation of genuine one-way Einstein-Podolsky-Rosen steering
• Proposed Test of Quantum Nonlocality for Continuous Variables
• Quantifying non-Gaussianity for quantum information
• Convex resource theory of non-Gaussianity
• Continuous-Variable Quantum Games
• Quantum nonlocality test for continuous-variable states with dichotomic observables
• Homodyne tomography characterization and nonlocality of a dual-mode optical qubit
• Bell inequalities for continuous-variable correlations
• Non-Gaussianity as a signature of a quantum theory of gravity
• Obstructions to Bell CMB Experiments
• Experimental Violation of Bell's Inequality in Spatial-Parity Space
• Failure of Local Realism Revealed by Extremely Coarse-Grained Measurements
• Bell's Inequality Violation (BIQV) with Non-Negative Wigner Function
• Quantum Nonlocality for a Mixed Entangled Coherent State
• Continuous-variable Werner state: separability, nonlocality, squeezing and teleportation
• Bell's Inequalities for Continuous-Variable Systems in Generic Squeezed States
• Loophole-free test of quantum non-locality using high-efficiency homodyne detectors
• Generation of entangled coherent states for distant Bose-Einstein condensates via electromagnetically induced transparency
• Photon subtracted states and enhancement of nonlocality in the presence of noise
• Determination of the Schmidt number
• Classical phase-space descriptions of continuous-variable teleportation
• Infinite violation of Bell inequalities in inflation
• Violation of Bell-CHSH inequality using imperfect photodetectors with optical hybrid states
• Investigating macroscopic quantum superpositions and the quantum-to-classical transition by optical parametric amplification
• State-independent quantum contextuality for continuous variables
• Nonlocality of two- and three-mode continuous variable systems
• Bell test for the free motion of material particles
• Leggett-Garg Inequalities for Squeezed States
• Testing non-local realism with entangled coherent states
• Quantum teleportation with pair-coherent states
• Synthesis and Analysis of Entangled Photonic Qubits in Spatial-Parity Space
• Bipartite temporal Bell inequalities for two-mode squeezed states
• Optimization of Bell's Inequality Violation For Continuous Variable Systems
• Direct measurement of optical quasidistribution functions: multimode theory and homodyne tests of Bell's inequalities
• Quantum to classical transition via fuzzy measurements on high gain spontaneous parametric down-conversion
• Faithful test of non-local realism with entangled coherent states
• Tests of multimode quantum non-locality with homodyne measurements
• Dynamics of entanglement between two trapped atoms
• Entanglement Classifier in Chemical Reactions
• Theory of genuine tripartite nonlocality of Gaussian states
• Continuous discretization of infinite dimensional Hilbert spaces
• Investigating Einstein-Podolsky-Rosen steering of continuous variable bipartite states by non-Gaussian pseudospin measurements
• Real-space Bell inequalities in de Sitter
• Quantum nonlocality and applications in quantum-information processing of hybrid entangled states
• Correspondence between continuous variable and discrete quantum systems of arbitrary dimensions
• Two-axis two-spin squeezed states
• Entanglement criteria for microscopic-macroscopic systems
• Entanglement quasiprobabilities of squeezed light
• Qubits from Number States and Bell Inequalities for Number Measurements
• Reliable experimental certification of one-way Einstein-Podolsky-Rosen steering
• D-outcome measurement for a nonlocality test
• Loophole-free Bell test for continuous variables via wave and particle correlations
• Quantification of Wigner Negativity Remotely Generated via Einstein-Podolsky-Rosen Steering
• Maximal violation of tight Bell inequalities for maximal high-dimensional entanglement
• Two proposals for testing quantum contextuality of continuous-variable states
• Test of nonlocality for a continuos-variable state based on arbitrary number of measurement outcomes
• Normalized Stokes operators for polarization correlations of entangled optical fields
• Violation of Bell's inequality for continuous variables
• A tomographic approach to quantum nonlocality
• Bell Inequalities for Position Measurements
• De-Gaussification by inconclusive photon subtraction
• Violation of Bell inequalities in an analogue black hole
• Testing the Clauser-Horne-Shimony-Holt inequality using observables with arbitrary spectrum
• Proposal for a macroscopic test of local realism with phase-space measurements
• Information Geometry of Quantum Entangled Gaussian Wave-Packets
• Greenberger-Horne-Zeilinger nonlocality for continuous variable systems
• Multi-Component Bell Inequality and its Violation for Continuous Variable Systems
• General conditions for maximal violation of non-contextuality in discrete and continuous variables
• Quantum entanglement of decohered two-mode squeezed states in absorbing and amplifying environment
• No-activation theorem for Gaussian nonclassical correlations by Gaussian operations
• Multiphoton Bell-type inequality: a tool to unearth nonlocality of continuous variable quantum optical systems
• Cosmological Bell Tests with Decoherence Effects
• Decoherence-Free Emergence of Macroscopic Local Realism for entangled photons in a cavity
• Bell violation for unknown continuous-variable states
• Introduction to Bell's inequality in Quantum Mechanics
• Positive phase space transformation incompatible with classical physics
• Non-classical correlations from dissociation time entanglement
• Dynamics-based quantumness certification of continuous variables using time-independent Hamiltonians with one degree of freedom
• Entangled coherent states and violations of Bell-CHSH inequalities
• Response in violation of Bell inequality to imperfect photon addition and subtraction in noisy squeezed states of light
• Some measures for fermionic entanglement in the cosmological de Sitter spacetime
• Position-Momentum Bell-Nonlocality with Entangled Photon Pairs
• Quantum entanglement and Bell violation of two coupled cavity fields in dissipative environment
• Bell's inequality violation by dynamical Casimir photons in a superconducting microwave circuit
• BRST invariant formulation of the Bell-CHSH inequality in gauge field theories
• Genuine multipartite nonlocality of permutationally invariant Gaussian states
• Quantum nonlocality for entanglement of quasiclassical states
• On the representations of Bell's operators in Quantum Mechanics
• Violations of entropic Bell inequalities with coarse-grained quadrature measurements for continuous-variable states
• Single-particle steering and nonlocality: The consecutive Stern-Gerlach Experiments
• Quantification of Quantum Correlations in Two-Beam Gaussian States Using Photon-Number Measurements
• Hybrid nonlocality via atom photon interactions with and without impurities
• Nonlocality of a free atomic wave packet
• Detecting Nonclassicality and quantum non-Gaussianity of photon subtracted displaced Fock state
• CHSH Bell Tests For Optical Hybrid Entanglement
• Violation of smooth observable macroscopic realism in a harmonic oscillator
• Local Hidden Variables Underpinning of Entanglement and Teleportation
• Nearly maximal violation of the Mermin-Klyshko inequality with multimode entangled coherent states
• Nonlocal nonreciprocal optomechanical circulator
• Probing Mermin's inequalities violations through pseudospin operators
• Bitwise Bell inequality violations for an entangled state involving 2N ions
• Analyzing the free states of one quantum resource theory as resource states of another
• Effects of entanglement on vortex dynamics in the hydrodynamic representation of quantum mechanics
• Testing quantum entanglement with local measurement
• Unitary realizations of the ideal phase measurement
• Detection Efficiency Bounds in (Semi-)Device-Independent Scenarios
• Random and free observables saturate the Tsirelson bound for CHSH inequality
• Solving the Jaynes-Cummings Model with Shift Operators Constructed by Means of the Matrix-Diagonalizing Technique
• All non-locally Realized Continuous Variable Bipartite Gaussian States are Entangled
• Nonlocality in Continuous-Variable Quantum Networks
• Maximal Bell's Inequality Violation for Non Maximal Entanglement
• An approach using geometric diagrams to generic Bell inequalities with multiple observables
• Arbitrarily large violations of non-contextuality in single mode photon states with positive Wigner function
• Reality, locality and all that: "experimental metaphysics" and the quantum foundations
• Sharp Contradiction for Local-Hidden-State Model in Quantum Steering
• Observer-independence in the presence of a horizon