Violation of Bell’s inequality using classical measurements and nonlinear local operations

2007/02/28 by Magdalena Stobińska, Hyunseok Jeong, Timothy C. Ralph · 6 citations
Computer Science · Physics and Astronomy · #Mechanical and Optical Resonators #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.75.052105

published as Phys. Rev. A 75, 052105 (2007) · 6 pages, 5 figures, to be published in Phys. Rev. A

arxiv created 2007/03/25 · openalex publication_date 2007/05/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We find that Bell's inequality can be significantly violated (up to Tsirelson's bound) with two-mode entangled coherent states using only homodyne measurements. This requires Kerr nonlinear interactions for local operations on the entangled coherent states. Our example is a demonstration of Bell-inequality violations using classical measurements. We conclude that entangled coherent states with coherent amplitudes as small as 0.842 are sufficient to produce such violations.

Citations

• Ordered Expansions in Boson Amplitude Operators
• Die gegenw�rtige Situation in der Quantenmechanik
• On the Einstein Podolsky Rosen paradox

Cited by

• Large violation of Bell inequalities using both particle andwave measurements
• Hybrid methods for witnessing entanglement in a microscopic-macroscopic system
• Using macroscopic entanglement to close the detection loophole in Bell-inequality tests
• Bell nonlocality
• Failure of Local Realism Revealed by Extremely-Coarse-Grained Measurements
• Generation of distributed entangled coherent states over a lossy environment with inefficient detectors