Large violation of Bell inequalities using both particle and wave measurements

Abstract

When separated measurements on entangled quantum systems are performed, the theory predicts correlations that cannot be explained by any classical mechanism: communication is excluded because the signal should travel faster than light; pre-established agreement is excluded because Bell inequalities are violated. All optical demonstrations of such violations have involved discrete degrees of freedom and are plagued by the detection-efficiency loophole. A promising alternative is to use continuous variables combined with highly efficient homodyne measurements. However, all the schemes proposed so far use states or measurements that are extremely difficult to achieve, or produce very weak violations. We present a simple method to generate large violations for feasible states using both photon counting and homodyne detections. The present scheme can also be used to obtain nonlocality from easy-to-prepare Gaussian states (e.g. two-mode squeezed state).

v2: 5pages, 3figs, same results

References in corpus (9)

• Device-independent security of quantum cryptography against collective attacks
• Research on Hidden Variable Theories: a review of recent progresses
• Entangling Independent Photons by Time Measurement
• Bell inequalities for continuous-variable correlations
• Violation of Bell's inequality using classical measurements and non-linear local operations
• Towards a loophole-free test of Bell's inequality with entangled pairs of neutral atoms
• Tests of multimode quantum non-locality with homodyne measurements
• Loophole-free Bell test for continuous variables via wave and particle correlations
• A note on "Loophole-free Bell test for continuous variables via wave and particle correlations (Phys. Rev. Lett. 105, 170404 (2010))"

Cited by in corpus (10)

• Loophole-free Bell test based on local precertification of photon's presence
• Bell tests for continuous variable systems using hybrid measurements and heralded amplifiers
• Mutual Unbiasedness in Coarse-grained Continuous Variables
• A two-particle, four-mode interferometer for atoms
• Robust nonlocality tests with displacement-based measurements
• Closing the detection loophole in multipartite Bell tests using GHZ states
• Single-photon quantum nonlocality: Violation of the Clauser-Horne-Shimony-Holt inequality using feasible measurement setups
• Detection Efficiency Bounds in (Semi-)Device-Independent Scenarios
• Loss-tolerant hybrid measurement test of CHSH inequality with weakly amplified N00N states
• Semi-device-independent randomness certification on discretized continuous-variable platforms