Maximal Violation of Bell Inequalities using Continuous Variables Measurements

Abstract

We propose a whole family of physical states that yield a violation of the Bell CHSH inequality arbitrarily close to its maximum value, when using quadrature phase homodyne detection. This result is based on a new binning process called root binning, that is used to transform the continuous variables measurements into binary results needed for the tests of quantum mechanics versus local realistic theories. A physical process in order to produce such states is also suggested. The use of high-efficiency spacelike separated homodyne detections with these states and this binning process would result in a conclusive loophole-free test of quantum mechanics.

7 pages, 5 figures, to appear in PRA in a slightly different version

References in corpus (8)

• Violation of Bell's inequality under strict Einstein locality conditions
• Encoding a qubit in an oscillator
• Quantum state reconstruction of the single-photon Fock state
• Entropic Bell Inequalities
• Contradiction of Quantum Mechanics with Local Hidden Variables for Continuous Variable Quadrature Phase Amplitude Measurements
• Optimal States for Bell inequality Violations using Quadrature Phase Homodyne Measurements
• Characterizing GHZ Correlations in Nondegenerate Parametric Oscillation via Phase Measurements
• Bell Inequalities in Phase Space and their Violation in Quantum Mechanics

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• Bell nonlocality
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• Enhancing quantum entanglement by photon addition and subtraction
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• Bell inequalities for continuous-variable correlations
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• Mesoscopic Superposition States Generated by Synthetic Spin-orbit Interaction in Fock-state Lattices
• A flying Schrödinger cat in multipartite entangled states
• Loophole-free test of quantum non-locality using high-efficiency homodyne detectors
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• Large violation of Bell inequalities using both particle and wave measurements
• Contextuality and Wigner negativity are equivalent for continuous-variable quantum measurements
• Characterizations and Quantifications of Macroscopic Quantumness and Its Implementations using Optical Fields
• Bell inequalities for Continuous-Variable Measurements
• Proposal for a loophole-free violation of Bell inequalities with a set of single photons and homodyne measurements
• Theory of entanglement and measurement in high harmonic generation
• Tomographic test of Bell's inequality for a time-delocalized single photon
• Entangled-state generation and Bell inequality violations in nanomechanical resonators
• Proposal for a cumulant-based Bell test for mesoscopic junctions
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• Tests of multimode quantum non-locality with homodyne measurements
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• Maximal violation of Bell inequalities by position measurements
• Conditional generation of arbitrary multimode entangled states of light with linear optics
• Towards macroscopic spin and mechanical superposition via Rydberg interaction
• Efficient noiseless linear amplification for light fields with larger amplitudes
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• Generating arbitrary photon-number entangled states for continuous-variable quantum informatics
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• A tomographic approach to quantum nonlocality
• Suitability of the approximate superposition of squeezed coherent states for various quantum protocols
• Testing the Clauser-Horne-Shimony-Holt inequality using observables with arbitrary spectrum
• Bell inequality tests using asymmetric entangled coherent states in asymmetric lossy environments
• Violation of Bell inequalities in an analogue black hole
• Limitations on the quantum non-Gaussian characteristic of Schrödinger kitten state generation
• Bell-type inequalities for cold heteronuclear molecules
• Proposal for a macroscopic test of local realism with phase-space measurements
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• Bell inequalities with continuous angular variables
• Witnessing negativity of Wigner function by estimating fidelities of cat-like states from homodyne measurements
• Effects of Postselected von Neumann Measurement on the Properties of Single-Mode Radiation Fields
• Bell violation for unknown continuous-variable states
• Efficient amplification of superpositions of coherent states using input states with different parities
• Continuous-variable supraquantum nonlocality
• Position-Momentum Bell-Nonlocality with Entangled Photon Pairs
• General superposition states associated to the rotational and inversion symmetries in the phase space
• Molecular orientation entanglement and temporal Bell-type inequalities
• Entropic uncertainty relations for mutually unbiased periodic coarse-grained observables resemble their discrete counterparts
• The stellar decomposition of Gaussian quantum states
• Elementary test for non-classicality based on measurements of position and momentum
• Periodic discretized continuous observables are neither continuous nor discrete
• Continuous Variable Quantum Advantages and Applications in Quantum Optics
• Uncertainty principle as post-quantum nonlocality witness for continuous variable multi-mode scenario
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• Reality, locality and all that: "experimental metaphysics" and the quantum foundations
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• Arbitrarily large violations of non-contextuality in single mode photon states with positive Wigner function
• Amplitude-squared squeezing of Schrödinger cat states via Postselected von Neumann Measurement