🔗 Quantum Entanglement

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State: |Φ⁺⟩
Measurements: 0
P(↑↑):
P(↑↓):
P(↓↑):
P(↓↓):
CHSH S = (classical ≤ 2)

🔗 Quantum Entanglement — Bell States & CHSH

Explore quantum entanglement: prepare four Bell states, measure Alice and Bob's qubits, observe perfect correlation, and run a CHSH inequality test that demonstrates quantum nonlocality.

🔬 What It Demonstrates

Two entangled qubits share correlations that cannot be explained by any local hidden-variable theory (Bell's theorem). The CHSH parameter S measures these correlations: S ≤ 2 classically, but quantum mechanics predicts S = 2√2 ≈ 2.828.

🎮 How to Use

Select a Bell state (Φ+, Φ−, Ψ+, Ψ−). Measure Alice's and Bob's qubits to see correlated outcomes. Run the CHSH test — accumulate statistics and watch S converge to 2√2, violating the classical bound.

💡 Did You Know?

John Bell proved in 1964 that no local hidden-variable theory can reproduce all quantum predictions. The 2022 Nobel Prize in Physics honoured Aspect, Clauser and Zeilinger for experiments confirming Bell inequality violations.