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∣a⟩|a\rangle

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for a system in state |ψ\psi⟩\rangle measured in a basis containing |a⟩\rangle . Every interpretation discussed here reproduces this rule for every experiment that has actually been performed. That includes Bell tests. John Bell showed in 1964 that any theory obeying two assumptions — that a measurement’s outcome depends only on a hidden variable carried by the particle and on the local setting of its own detector, not on the distant detector’s setting — predicts correlations between two separated measurements that are bounded above by a fixed value [ 1 ] . Quantum mechanics predicts correlations that exceed that bound for entangled pairs. This is a fact, not an interpretation: it was measured,…

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∣a⟩|a\rangle

Equation 3 · Physics

Comparing the Main Approaches to Quantum Foundations and Measurement

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for a system in state |ψ\psi⟩\rangle measured in a basis containing |a⟩\rangle . Every interpretation discussed here reproduces this rule for every experiment that has actually been performed. That includes Bell tests. John Bell showed in 1964 that any theory obeying two assumptions — that a measurement’s outcome depends only on a hidden variable carried by the particle and on the local setting of its own detector, not on the distant detector’s setting — predicts correlations between two separated measurements that are bounded above by a fixed value [ 1 ] . Quantum mechanics predicts correlations that exceed that bound for entangled pairs. This is a fact, not an interpretation: it was measured,…

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