All quantum observables in a hidden-variable model must commute simultaneously
- Center for Information Technology, National Institutes of Health, Bethesda, Maryland 20892 (United States)
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.
- OSTI ID:
- 20640691
- Journal Information:
- Physical Review. A, Vol. 69, Issue 2; Other Information: DOI: 10.1103/PhysRevA.69.022118; (c) 2004 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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