Bell's theorem

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Summary

Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with local hidden-variable theories, given some basic assumptions about the nature of measurement.

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Concept refuted by Bell's theorem
Bell's theorem demonstrates that no physical theory of local hidden variables can reproduce all the predictions of quantum mechanics, effectively challenging the principle of local realism.
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Physical phenomenon implied by the theorem
The violation of Bell's inequalities necessitates the existence of quantum nonlocality, where distant particles exhibit correlations that cannot be explained by local signals.
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Definitive experimental verification
Alain Aspect's 1982 experiments provided the first rigorous empirical evidence violating Bell's inequalities, confirming the non-local nature of quantum entanglement.
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Precursor to Bell's theorem
The 1935 Einstein-Podolsky-Rosen paper argued that quantum mechanics was incomplete by proposing local hidden variables, which Bell's theorem later mathematically disproved.
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Physical state required for the theorem
Bell's theorem relies on the properties of entangled quantum states to demonstrate the incompatibility between quantum mechanics and local realism.
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Experimental application of the theorem
A Bell test is an experimental procedure designed to check whether the statistical correlations between quantum particles violate the inequalities derived in Bell's theorem.
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Author of the theorem
John Stewart Bell formulated the theorem in 1964 to address the debate between the completeness of quantum mechanics and local hidden-variable theories.
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Class of theories excluded by the theorem
Bell's theorem specifically targets these theories, which posit that quantum mechanics is an incomplete description of a more fundamental, deterministic underlying reality.
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Experimental generalization of Bell's theorem
The Clauser-Horne-Shimony-Holt inequality provides a practical, experimentally testable version of Bell's theorem that is widely used in laboratory settings.
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Specific entangled state used in tests
Bell states are the simplest examples of maximally entangled quantum states, frequently used as the basis for testing Bell's inequalities.
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Complementary no-go theorem
While Bell's theorem addresses locality, the Kochen-Specker theorem addresses the impossibility of assigning definite values to all observables simultaneously, further constraining hidden variable models.
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Related fundamental quantum property
Contextuality is a deeper feature of quantum mechanics related to Bell's theorem, showing that measurement outcomes depend on the context of the measurement apparatus.
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the theoretical foundation for the entanglement used in teleportation
Bell's theorem proved that quantum mechanics allows for correlations that cannot be explained by local hidden variables, which is the physical basis for the entanglement used in teleportation.
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