Clauser–Horne–Shimony–Holt inequality

E463604
Bell inequality mathematical inequality physical law

The Clauser–Horne–Shimony–Holt inequality is a key formulation of Bell's inequality used in quantum mechanics to test the incompatibility of local hidden variable theories with the predictions of quantum entanglement.

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Observed surface forms (2)

Surface form Occurrences
Bell inequalities 2
CHSH-type Bell inequality 1

Statements (47)

Predicate Object
instanceOf Bell inequality ⓘ
mathematical inequality ⓘ
physical law ⓘ
alsoKnownAs CHSH inequality NERFINISHED ⓘ
appliesTo bipartite systems ⓘ
two spatially separated observers ⓘ
two-qubit systems ⓘ
assumes locality ⓘ
measurement independence ⓘ
realism ⓘ
describes constraints on correlations in local hidden variable theories ⓘ
field philosophy of physics ⓘ
quantum foundations ⓘ
quantum information theory ⓘ
quantum mechanics ⓘ
generalizationOf Bell inequality for two settings and two outcomes ⓘ
hasComponent CHSH operator ⓘ
hasConsequence demonstration of incompatibility between local realism and quantum mechanics ⓘ
hasDomain correlation functions of measurement outcomes ⓘ
hasForm |S| ≤ 2 for local hidden variable theories ⓘ
implies no local hidden variable model can reproduce all quantum predictions ⓘ
inspired numerous experimental tests of Bell inequalities ⓘ
mathematicalStructure linear inequality in expectation values ⓘ
measurementScenario two parties with two dichotomic observables each ⓘ
namedAfter Abner Shimony NERFINISHED ⓘ
John F. Clauser NERFINISHED ⓘ
Michael A. Horne NERFINISHED ⓘ
Richard A. Holt NERFINISHED ⓘ
partOf foundations of quantum theory ⓘ
publicationYear 1969 ⓘ
quantumMechanicalBound 2√2 ⓘ
relatedTo Bell theorem NERFINISHED ⓘ
Clauser–Horne inequality NERFINISHED ⓘ
EPR paradox NERFINISHED ⓘ
Tsirelson bound NERFINISHED ⓘ
local realism ⓘ
quantum nonlocality ⓘ
usedFor experimental tests of quantum entanglement ⓘ
ruling out local hidden variable theories ⓘ
testing Bell nonlocality ⓘ
testing local realism ⓘ
usedIn device-independent quantum cryptography ⓘ
loophole-free Bell tests ⓘ
randomness certification ⓘ
violatedBy entangled quantum states ⓘ
maximally entangled two-qubit states ⓘ
singlet state of two spin-1/2 particles ⓘ

Referenced by (4)

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

John F. Clauser → notableWork → Clauser–Horne–Shimony–Holt inequality ⓘ
Einstein–Podolsky–Rosen paradox → relatedTo → Clauser–Horne–Shimony–Holt inequality ⓘ
this entity surface form: Bell inequalities
Aspect experiment on Bell inequality tests (1982) → testsTheory → Clauser–Horne–Shimony–Holt inequality ⓘ
this entity surface form: Bell inequalities
Aspect experiment on Bell inequality tests (1982) → testsInequality → Clauser–Horne–Shimony–Holt inequality ⓘ
this entity surface form: CHSH-type Bell inequality