Bell Inequality — CHSH Experiment Simulation

Two entangled photons are measured at detectors A and B with angles α, β. The CHSH inequality says |S| ≤ 2 for any local hidden-variable theory. Quantum mechanics predicts |S| = 2√2 ≈ 2.828. No classical correlation can exceed 2 — this is experimentally confirmed (Aspect 1982, Hensen 2015).

Angle α (det. A): 0°

Angle β (det. B): 45°

α' (det. A'): 90°

β' (det. B'): 135°

Shots: 2000

E(α,β) quantum

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E(α,β') quantum

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E(α',β) quantum

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E(α',β') quantum

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|S| quantum

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Classical bound

≤ 2.000

|S| classical sim

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CHSH parameter S = E(α,β) − E(α,β') + E(α',β) + E(α',β'). Quantum max |S| = 2√2 ≈ 2.828 at optimal angles {0°,45°,90°,135°}.