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104
A KochenSpecker Theorem for Unsharp
"... I construct spin observables which are unsharp due to the fact that a residual uncertainty about the actual orientation of the measurement device remains. If the uncertainty is below a certain level, a KochenSpecker theorem can be proven for the unsharp spin observables: There are finite sets of di ..."
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I construct spin observables which are unsharp due to the fact that a residual uncertainty about the actual orientation of the measurement device remains. If the uncertainty is below a certain level, a KochenSpecker theorem can be proven for the unsharp spin observables: There are finite sets
The BellKochenSpecker Theorem
"... Meyer, Kent and Clifton (MKC) claim to have nullified the BellKochenSpecker (BellKS) theorem. It is true that they invalidate KS’s account of the theorem’s physical implications. However, they do not invalidate Bell’s point, that quantum mechanics is inconsistent with the classical assumption, th ..."
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Cited by 13 (0 self)
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Meyer, Kent and Clifton (MKC) claim to have nullified the BellKochenSpecker (BellKS) theorem. It is true that they invalidate KS’s account of the theorem’s physical implications. However, they do not invalidate Bell’s point, that quantum mechanics is inconsistent with the classical assumption
A priori Knowledge and the KochenSpecker Theorem
, 2008
"... We introduce and formalize a notion of “a priori knowledge ” about a quantum system, and show some properties about this form of knowledge. Finally, we show that the KochenSpecker theorem follows directly from this study. 1 ..."
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Cited by 9 (7 self)
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We introduce and formalize a notion of “a priori knowledge ” about a quantum system, and show some properties about this form of knowledge. Finally, we show that the KochenSpecker theorem follows directly from this study. 1
KochenSpecker theorem for von Neumann algebras
 Int. J. Theor. Phys
, 2005
"... The KochenSpecker theorem has been discussed intensely ever since its original proof in 1967. It is one of the central nogo theorems of quantum theory, showing the nonexistence of a certain kind of hidden states models. In this paper, we first offer a new, noncombinatorial proof for quantum syst ..."
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Cited by 31 (11 self)
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The KochenSpecker theorem has been discussed intensely ever since its original proof in 1967. It is one of the central nogo theorems of quantum theory, showing the nonexistence of a certain kind of hidden states models. In this paper, we first offer a new, noncombinatorial proof for quantum
Finite precision measurement nullifies the KochenSpecker theorem
, 1999
"... Only finite precision measurements are experimentally reasonable, and they cannot distinguish a dense subset from its closure. We show that the rational vectors, which are dense in S 2, can be colored so that the contradiction with hidden variable theories provided by KochenSpecker constructions do ..."
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Cited by 38 (1 self)
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does not obtain. Thus, in contrast to violation of the Bell inequalities, no quantumoverclassical advantage for information processing can be derived from the KochenSpecker theorem alone.
Coloring the Rational Quantum Sphere and the KochenSpecker Theorem
"... We review and extend recent ndings of Godsil and Zaks [1], who published a constructive coloring of the rational unit sphere with the property that for any orthogonal tripod formed by rays extending from the origin of the points of the sphere, exactly one ray is red, white and black. They also ..."
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Cited by 4 (0 self)
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showed that any consistent coloring of the real sphere requires an additional color. We discuss some of the consequences for the KochenSpecker theorem [2].
An obstruction based approach to the KochenSpecker theorem
, 1999
"... In [1] it was shown that the Kochen Specker theorem can be written in terms of the nonexistence of global elements of a certain varying set over the category W of boolean subalgebras of projection operators on some Hilbert space H. In this paper, we show how obstructions to the construction of such ..."
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Cited by 2 (0 self)
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In [1] it was shown that the Kochen Specker theorem can be written in terms of the nonexistence of global elements of a certain varying set over the category W of boolean subalgebras of projection operators on some Hilbert space H. In this paper, we show how obstructions to the construction
Proposed experimental tests of the BellKochenSpecker theorem
 Phys. Rev. Lett
, 1998
"... For a twoparticle twostate system, sets of compatible propositions exist for which quantum mechanics and noncontextual hiddenvariable theories make conflicting predictions for every individual system whatever its quantum state. This permits a simple allornothing stateindependent experimental ve ..."
Ontological Models for Quantum Mechanics and the KochenSpecker theorem
, 2006
"... Certain concrete “ontological models ” for quantum mechanics (models in which measurement outcomes are deterministic and quantum states are equivalent to classical probability distributions over some space of ‘hidden variables’) are examined. The models are generalizations of Kochen and Specker’s su ..."
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Cited by 8 (1 self)
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probability distributions over the complex projective space they do reproduce pretty much everything else in quantum mechanics. The KochenSpecker theorem is examined in the light of these models, and the rather mild nature of the manifested contextuality is discussed. PACS numbers: I.
Colouring the rational quantum sphere and the KochenSpecker Theorem
, 2001
"... We review and extend recent findings of Godsil and Zaks, who published a constructive colouring of the rational unit sphere with the property that for any orthogonal tripod formed by rays extending from the origin of the points of the sphere, exactly one ray is red, one white and one black. They als ..."
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. They also showed that any consistent colouring of the real sphere requires an additional colour. We discuss some of the consequences for the KochenSpecker theorem. PACS numbers: 0365B, 0210B, 0210G 1. Colourings In what follows we shall consider `rational rays'. A `rational ray' is the linear
Results 1  10
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104