Comment on "All quantum observables in a hidden-variable model must commute simultaneously"

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Koji Nagata
National Institute of Information and Communications Technology, 4-2-1 Nukuikita, Koganei, Tokyo 184-8795, Japan

Received 24 November 2005; published 14 June 2006

Malleydiscussed [Phys. Rev. A 69, 022118 (2004)] that all quantumobservables in a hidden-variable model for quantum events must commutesimultaneously. In this comment, we discuss that Malley's theorem isindeed valid for the hidden-variable theoretical assumptions, which were introducedby Kochen and Specker. However, we give an example thatthe local hidden-variable (LHV) model for quantum events preserves noncommutativityof quantum observables. It turns out that Malley's theorem isnot related to the LHV model for quantum events, ingeneral.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.73.066101
DOI:	10.1103/PhysRevA.73.066101
PACS:	03.65.Ca; 03.65.Ud 03.65.Ca Formalism in quantum mechanics 03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) YEAR: 2006
KEYWORDS:	quantum theory

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Reply to "Comment on `All quantum observables in a hidden-variable model must commute simultaneously'" [Phys. Rev. A 73, 066101 (2006)]
J. D. Malley and A. Fine
Phys. Rev. A 73, 066102 (2006)
All quantum observables in a hidden-variable model must commute simultaneously
James D. Malley
Phys. Rev. A 69, 022118 (2004)