Bell’s theorem

E1044639

no-go theorem theorem in quantum mechanics

Bell’s theorem is a fundamental result in quantum mechanics showing that no theory based on local hidden variables can reproduce all the predictions of quantum mechanics, thereby demonstrating the nonlocal nature of quantum correlations.

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Observed surface forms (3)

Surface form	Occurrences
Bell's theorem	51
Bell inequalities	1
Bell inequality	1

Statements (48)

Predicate	Object
instanceOf	no-go theorem ⓘ theorem in quantum mechanics ⓘ
appliesTo	bipartite entangled systems ⓘ multipartite entangled systems ⓘ
assumes	locality ⓘ measurement independence ⓘ realism ⓘ
challenges	classical intuitions about separability ⓘ local hidden-variable theories ⓘ
conclusion	at least one of locality, realism, or measurement independence must be abandoned ⓘ
field	philosophy of physics ⓘ quantum foundations ⓘ quantum mechanics ⓘ
hasConsequence	Bell inequality violations in quantum experiments ⓘ impossibility of reproducing quantum predictions with local hidden variables ⓘ
hasInterpretationIssue	nature of quantum nonlocality ⓘ status of realism in quantum theory ⓘ
hasVariant	CHSH Bell inequality NERFINISHED ⓘ Clauser-Horne inequality NERFINISHED ⓘ GHZ argument ⓘ
implies	existence of nonlocal quantum correlations ⓘ
influenced	development of experimental tests of quantum nonlocality ⓘ device-independent quantum cryptography ⓘ quantum information theory ⓘ
mainClaim	no local hidden-variable theory can reproduce all predictions of quantum mechanics ⓘ
mathematicalForm	Bell inequalities on correlation functions ⓘ
namedAfter	John Stewart Bell NERFINISHED ⓘ
originalPaperTitle	On the Einstein Podolsky Rosen Paradox NERFINISHED ⓘ
publishedIn	Physics journal ⓘ
relatedTo	Bell test experiments NERFINISHED ⓘ CHSH inequality NERFINISHED ⓘ EPR paradox NERFINISHED ⓘ detection loophole ⓘ freedom-of-choice loophole ⓘ locality loophole ⓘ quantum entanglement ⓘ
supports	nonlocal interpretations of quantum mechanics ⓘ
testedBy	Aspect experiments NERFINISHED ⓘ ion-trap Bell experiments NERFINISHED ⓘ loophole-free Bell tests ⓘ photonic Bell experiments ⓘ solid-state Bell experiments ⓘ
usesConcept	Bell inequalities NERFINISHED ⓘ hidden variables ⓘ local realism ⓘ spacelike separation ⓘ statistical correlations ⓘ
yearProposed	1964 ⓘ

Referenced by (6)

Full triples — surface form annotated when it differs from this entity's canonical label.

wavefunction collapse → discussedInContextOf → Bell’s theorem ⓘ

John Bell → knownFor → Bell’s theorem ⓘ

this entity surface form: Bell's theorem

John Bell → knownFor → Bell’s theorem ⓘ

this entity surface form: Bell inequalities

John Bell → hasConceptNamedAfter → Bell’s theorem ⓘ

this entity surface form: Bell's theorem

John Bell → hasConceptNamedAfter → Bell’s theorem ⓘ

this entity surface form: Bell inequality

Einstein–Podolsky–Rosen paradox → relatedTo → Bell’s theorem ⓘ

this entity surface form: Bell's theorem