Phys. Rev. A 69, 022118 (2004) [3 pages]All quantum observables in a hidden-variable model must commute simultaneouslyReceived 1 September 2003; published 27 February 2004 Under a standard set of assumptions for a hidden-variable model for quantum events we show that all observables must commute simultaneously. This seems to be an ultimate statement about the inapplicability of the usual hidden-variable model for quantum events. And, despite Bell’s complaint that a key condition of von Neumann’s was quite unrealistic, we show that these conditions, under which von Neumann produced the first no-go proof, are entirely equivalent to those introduced by Bell and Kochen and Specker. As these conditions are also equivalent to those under which the Bell-Clauster-Horne inequalities are derived, we see that the experimental violations of the inequalities demonstrate only that quantum observables do not commute. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.022118
DOI:
10.1103/PhysRevA.69.022118
PACS:
03.65.Ca
See AlsoComment: Koji Nagata, Comment on “All quantum observables in a hidden-variable model must commute simultaneously”, Phys. Rev. A 73, 066101 (2006). Reply: J. D. Malley and A. Fine, Reply to “Comment on ‘All quantum observables in a hidden-variable model must commute simultaneously’” [Phys. Rev. A 73, 066101 (2006)], Phys. Rev. A 73, 066102 (2006). |
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