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- Kochen–Specker_theorem abstract "In quantum mechanics, the Kochen–Specker (KS) theorem, also known as the Bell-Kochen–Specker theorem, is a \"no go\" theorem proved by John S. Bell in 1966 and by Simon B. Kochen and Ernst Specker in 1967. It places certain constraints on the permissible types of hidden variable theories which try to explain the apparent randomness of quantum mechanics as a deterministic model featuring hidden states. The version of the theorem proved by Kochen and Specker also gave an explicit example for this constraint in terms of a finite number of state vectors. The theorem is a complement to Bell's theorem (to be distinguished from the (Bell-)Kochen–Specker theorem of this article).The theorem proves that there is a contradiction between two basic assumptions of the hidden variable theories intended to reproduce the results of quantum mechanics: that all hidden variables corresponding to quantum mechanical observables have definite values at any given time, and that the values of those variables are intrinsic and independent of the device used to measure them. The contradiction is caused by the fact that quantum mechanical observables need not be commutative. It turns out to be impossible to simultaneously embed all the commuting subalgebras of the algebra of these observables in one commutative algebra, assumed to represent the classical structure of the hidden variables theory, if the Hilbert space dimension is at least three.The Kochen–Specker proof demonstrates the impossibility that quantum mechanical observables represent \"elements of physical reality\". More specifically, the theorem excludes hidden variable theories that require elements of physical reality to be non-contextual (i.e. independent of the measurement arrangement). As succinctly worded by Isham and Butterfield, the Kochen–Specker theorem \"asserts the impossibility of assigning values to all physical quantities whilst, at the same time, preserving the functional relations between them.\"↑ ↑ ↑ ↑".
- Kochen–Specker_theorem wikiPageExternalLink kochen-specker.
- Kochen–Specker_theorem wikiPageExternalLink dfulltext.php?year=1968&volume=17&artid=17004.
- Kochen–Specker_theorem wikiPageExternalLink theme3.py?level=1&index1=-379340.
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- Kochen–Specker_theorem wikiPageRevisionID "700246289".
- Kochen–Specker_theorem wikiPageWikiLink Algebra.
- Kochen–Specker_theorem wikiPageWikiLink Asher_Peres.
- Kochen–Specker_theorem wikiPageWikiLink Bells_theorem.
- Kochen–Specker_theorem wikiPageWikiLink CHSH_inequality.
- Kochen–Specker_theorem wikiPageWikiLink Category:Hidden_variable_theory.
- Kochen–Specker_theorem wikiPageWikiLink Category:Quantum_mechanics.
- Kochen–Specker_theorem wikiPageWikiLink Category:Theorems_in_quantum_physics.
- Kochen–Specker_theorem wikiPageWikiLink Christopher_Isham.
- Kochen–Specker_theorem wikiPageWikiLink Commutative_property.
- Kochen–Specker_theorem wikiPageWikiLink Conditional_probability.
- Kochen–Specker_theorem wikiPageWikiLink Copenhagen_interpretation.
- Kochen–Specker_theorem wikiPageWikiLink David_Bohm.
- Kochen–Specker_theorem wikiPageWikiLink David_Mermin.
- Kochen–Specker_theorem wikiPageWikiLink De_Broglie–Bohm_theory.
- Kochen–Specker_theorem wikiPageWikiLink EPR_paradox.
- Kochen–Specker_theorem wikiPageWikiLink Ernst_Specker.
- Kochen–Specker_theorem wikiPageWikiLink Hidden_variable_theory.
- Kochen–Specker_theorem wikiPageWikiLink Homomorphism.
- Kochen–Specker_theorem wikiPageWikiLink Interpretations_of_quantum_mechanics.
- Kochen–Specker_theorem wikiPageWikiLink Jeremy_Butterfield.
- Kochen–Specker_theorem wikiPageWikiLink John_Stewart_Bell.
- Kochen–Specker_theorem wikiPageWikiLink John_von_Neumann.
- Kochen–Specker_theorem wikiPageWikiLink Joint_probability_distribution.
- Kochen–Specker_theorem wikiPageWikiLink Louis_de_Broglie.
- Kochen–Specker_theorem wikiPageWikiLink No-go_theorem.
- Kochen–Specker_theorem wikiPageWikiLink Quantum_mechanics.
- Kochen–Specker_theorem wikiPageWikiLink Simon_B._Kochen.
- Kochen–Specker_theorem wikiPageWikiLinkText "Kochen–Specker theorem".
- Kochen–Specker_theorem subject Category:Hidden_variable_theory.
- Kochen–Specker_theorem subject Category:Quantum_mechanics.
- Kochen–Specker_theorem subject Category:Theorems_in_quantum_physics.
- Kochen–Specker_theorem type Mechanic.
- Kochen–Specker_theorem type Physic.
- Kochen–Specker_theorem type Redirect.
- Kochen–Specker_theorem type Theorem.
- Kochen–Specker_theorem type Variable.
- Kochen–Specker_theorem comment "In quantum mechanics, the Kochen–Specker (KS) theorem, also known as the Bell-Kochen–Specker theorem, is a \"no go\" theorem proved by John S. Bell in 1966 and by Simon B. Kochen and Ernst Specker in 1967. It places certain constraints on the permissible types of hidden variable theories which try to explain the apparent randomness of quantum mechanics as a deterministic model featuring hidden states.".
- Kochen–Specker_theorem label "Kochen–Specker theorem".
- Kochen–Specker_theorem sameAs Q528955.
- Kochen–Specker_theorem sameAs Kochen-Specker-Theorem.
- Kochen–Specker_theorem sameAs m.0b05kz.
- Kochen–Specker_theorem sameAs Q528955.
- Kochen–Specker_theorem sameAs 科亨-施佩克尔定理.
- Kochen–Specker_theorem wasDerivedFrom Kochen–Specker_theorem?oldid=700246289.
- Kochen–Specker_theorem isPrimaryTopicOf Kochen–Specker_theorem.