Bell Inequality Violation

Quantum entanglement vs. local hidden variables — CHSH inequality test

Detector angle A: 0°

Detector angle B: 45°

Detector angle C: 90°

Detector angle D: 135°

CHSH |S| (quantum):

—

CHSH |S| (classical):

—

Bell limit:

≤ 2

Quantum max:

2√2 ≈ 2.828

E(A,B) quantum:

—

E(A,D) quantum:

—

E(C,B) quantum:

—

E(C,D) quantum:

—

Trials:

—

Violations:

—

Violation rate:

—

CHSH: S = E(A,B) − E(A,D) + E(C,B) + E(C,D); Classical: |S| ≤ 2; Quantum singlet: E(θ₁,θ₂) = −cos(θ₁−θ₂)