David A. Meyer. Finite precision measurement nullifies the KochenSpecker theorem. http://xxx.lanl.gov/abs/quant-ph/9905080, 1999. Home/Search Document Details and Download
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Quantum Mechanics as Quantum Information (and only a little more) - Fuchs (Correct)
....case when one considers the full set of POVMs as one s potential measurements. The other important thing is that the theorem works for Hilbert spaces over the rational number field: one does not need to invoke the full power of the continuum. This contrasts with the surprising result of Meyer [54] that the standard Gleason theorem fails in such a setting. The present theorem hints at a kind of resiliency to the structure of quantum mechanics that falls through the mesh of the standard Gleason result: The probability rule for POVMs does not actually depend so much upon the detailed workings ....
D. A. Meyer, "Finite Precision Measurement Nullifies the Kochen-Specker Theorem," Phys. Rev. Lett. 83, 3751--3754 (1999); A. Kent, "Non-Contextual Hidden Variables and Physical Measurements," Phys. Rev. Lett. 83 3755--3757 (1999).
Quantum Foundations in the Light of Quantum Information - Fuchs (2000) (Correct)
....the case when one considers the full set of POVMs as one s potential measurements. The other important thing is that the theorem works for Hilbert spaces over the rational number field: one does not need to invoke the full power of the continuum. This contrasts with the surprising result of Meyer [36] that the standard Gleason theorem fails in such a setting. The present theorem hints at a kind of resiliency to the structure of quantum mechanics that falls through the mesh of the standard Gleason result: The probability rule for POVMs does not actually depend so much upon the detailed workings ....
D. A. Meyer, "Finite Precision Measurement Nullifies the Kochen-Specker Theorem," Phys. Rev. Lett. 83, 3751--3754 (
On Coloring the Rational Quantum Sphere - Havlicek, Krenn, Summhammer.. (2000) (Correct)
....Hauptstrae 8 10 136, A 1040 Vienna, Austria e mail: svozil tuwien.ac.at (to whom correspondence should be directed) http: tph.tuwien.ac. at esvozil publ coloring.fhtm,ps,texg Abstract We discuss types of colorings of the rational quantum sphere similar to the one suggested recently byMeyer [1], in particular the consequences for the Kochen Specker theorem and for the correlation functions of entangled subsystems. Recently, Godsil and Zaks [2] published a constructive coloring of the rational unit sphere with the property that for any orthogonal tripod formed by rays extending from the ....
....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 showed that any consistent coloring of the real sphere requires an additional color. Based on this very interesting result, Meyer [1] suggested that the physical impact of the Kochen Specker theorem [3]is nullified, since for all practical purposes it is impossible to operationalize the difference between any dense set of rays and the continuum of Hilbert space rays. We shall argue here that Meyer s result is itself ....
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David A. Meyer. Finite precision measurement nullifies the KochenSpecker theorem. Physical Review Letters, 83(19):3751--3754, 1999. http://xxx.lanl.gov/abs/quant-ph/9905080.
Book Review: - Quantum Logic In (2001) (Correct)
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David A. Meyer. Finite precision measurement nullifies the KochenSpecker theorem. http://xxx.lanl.gov/abs/quant-ph/9905080, 1999.
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