Testing for Multipartite Quantum Nonlocality Using Functional Bell Inequalities
arXiv:0911.2532 · doi:10.1103/PhysRevLett.103.180402
Abstract
We show that arbitrary functions of continuous variables, e.g. position and momentum, can be used to generate tests that distinguish quantum theory from local hidden variable theories. By optimising these functions, we obtain more robust violations of local causality than obtained previously. We analytically calculate the optimal function and include the effect of nonideal detectors and noise, revealing that optimized functional inequalities are resistant to standard forms of decoherence. These inequalities could allow a loophole-free Bell test with efficient homodyne detection.
References in corpus (6)
- Experimental entanglement of six photons in graph states
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Bell inequalities for continuous-variable correlations
- Minimum detection efficiency for a loophole-free atom-photon Bell experiment
- Necessary and sufficient detection efficiency for the Mermin inequalities
- Tests of multimode quantum non-locality with homodyne measurements
Cited by in corpus (14)
- Bell nonlocality
- Enhancing quantum entanglement for continuous variables by a coherent superposition of photon subtraction and addition
- Unified criteria for multipartite quantum nonlocality
- Entanglement, EPR steering, and Bell-nonlocality criteria for multipartite higher-spin systems
- Bell inequalities for Continuous-Variable Measurements
- Entanglement and nonlocality in multi-particle systems
- Robust nonlocality tests with displacement-based measurements
- Loophole-free Bell test for continuous variables via wave and particle correlations
- Bell correlations at finite temperature
- Bell-CHSH function approach to quantum phase transitions in matrix product systems
- Violations of entropic Bell inequalities with coarse-grained quadrature measurements for continuous-variable states
- Optimisation of Bell inequalities with invariant Tsirelson bound
- Two-setting multi-site Bell inequalities for loophole-free tests with up to 50% loss
- Testing quantum entanglement with local measurement