Loophole-free test of quantum non-locality using high-efficiency homodyne detectors
arXiv:quant-ph/0407181 · doi:10.1103/PhysRevA.71.022105
Abstract
We provide a detailed analysis of the recently proposed setup for a loophole-free test of Bell inequality using conditionally generated non-Gaussian states of light and balanced homodyning. In the proposed scheme, a two-mode squeezed vacuum state is de-gaussified by subtracting a single photon from each mode with the use of an unbalanced beam splitter and a standard low-efficiency single-photon detector. We thoroughly discuss the dependence of the achievable Bell violation on the various relevant experimental parameters such as the detector efficiencies, the electronic noise and the mixedness of the initial Gaussian state. We also consider several alternative schemes involving squeezed states, linear optical elements, conditional photon subtraction and homodyne detection.
13 pages, 14 figures, RevTeX 4
References in corpus (27)
- Violation of Bell's inequality under strict Einstein locality conditions
- Quantum key distribution using gaussian-modulated coherent states
- On the impossibility of distilling Gaussian states with Gaussian operations
- The characterization of Gaussian operations and Distillation of Gaussian States
- Non-gaussian statistics from individual pulses of squeezed light
- Continuous-variable teleportation improvement by photon subtraction via conditional measurement
- Gaussian transformations and distillation of entangled Gaussian states
- Efficient engineering of multi-atom entanglement through single-photon detections
- Nonlocality of Einstein-Podolsky-Rosen State in Wigner Representation
- Robust long-distance entanglement and a loophole-free Bell test with ions and photons
- Proposal for a loophole-free Bell test using homodyne detection
- Quantum teleportation of light beams
- Teleportation improvement by inconclusive photon subtraction
- Experimental demonstration of quantum correlations over more than 10 km
- Robust creation of entanglement between ions in spatially separate cavities
- Proposed Test of Quantum Nonlocality for Continuous Variables
- Maximal Violation of Bell's Inequalities for Continuous Variable Systems
- Driving non-Gaussian to Gaussian states with linear optics
- Maximal Violation of Bell Inequalities using Continuous Variables Measurements
- A local hidden variable model of quantum correlation exploiting the detection loophole
- Narrowband frequency tunable light source of continuous quadrature entanglement
- Contradiction of Quantum Mechanics with Local Hidden Variables for Continuous Variable Quadrature Phase Amplitude Measurements
- Distillation of continuous-variable entanglement with optical means
- A characterization of continuous variable entanglement
- Optimal States for Bell inequality Violations using Quadrature Phase Homodyne Measurements
- Continuous-variable Werner state: separability, nonlocality, squeezing and teleportation
- A Zoology of Bell inequalities resistant to detector inefficiency
Cited by in corpus (34)
- Bell nonlocality
- Entanglement evaluation of non-Gaussian states generated by photon subtraction from squeezed states
- Quantifying non-Gaussianity for quantum information
- Convex resource theory of non-Gaussianity
- Recent developments in photon-level operations on travelling light fields
- Enhancing quantum entanglement by photon addition and subtraction
- Inseparability inequalities for higher-order moments for bipartite systems
- Conditional generation of arbitrary single-mode quantum states of light by repeated photon subtractions
- Distillation of the two-mode squeezed state
- Non-Gaussianity as a signature of a quantum theory of gravity
- Entanglement criteria via the uncertainty relations in su(2) and su(1,1) algebra: detection of non-Gaussian entangled states
- Photon subtracted states and enhancement of nonlocality in the presence of noise
- Improving entanglement concentration of Gaussian states by local displacements
- Non-Gaussian entangled states and quantum teleportation of Schrödinger-cat states
- Entanglement condition via su(2) and su(1,1) algebra using Schr{ö}dinger-Robertson uncertainty relation
- Proposal for a cumulant-based Bell test for mesoscopic junctions
- Tests of multimode quantum non-locality with homodyne measurements
- Quantum Non-locality and Partial Transposition for Continuous-Variable Systems
- Device-Independent Quantum Cryptography for Continuous Variables
- Theory of genuine tripartite nonlocality of Gaussian states
- Multiphoton communication in lossy channels with photon-number entangled states
- Effective squeezing enhancement via measurement-induced non-Gaussian operation and its application to dense coding scheme
- Minimal disturbance measurement for coherent states is non-Gaussian
- Minimum Detection Efficiencies for a Loophole-Free Bell-type Test
- Operational Quantification of Continuous Variable Correlations
- Effects of squeezing on quantum nonlocality of superpositions of coherent states
- Robust transmission of non-Gaussian entanglement over optical fibers
- De-Gaussification by inconclusive photon subtraction
- Violating Bell inequalities with entangled optical frequency combs and multi-pixel homodyne detection
- Position-Momentum Bell-Nonlocality with Entangled Photon Pairs
- Genuine multipartite nonlocality of permutationally invariant Gaussian states
- Violations of entropic Bell inequalities with coarse-grained quadrature measurements for continuous-variable states
- Uncertainty principle as post-quantum nonlocality witness for continuous variable multi-mode scenario
- Analyzing the free states of one quantum resource theory as resource states of another