A new no-go theorem for hidden variables theories
APA
Bacciagaluppi, G. (2008). A new no-go theorem for hidden variables theories. Perimeter Institute. https://pirsa.org/08040073
MLA
Bacciagaluppi, Guido. A new no-go theorem for hidden variables theories. Perimeter Institute, Apr. 29, 2008, https://pirsa.org/08040073
BibTex
@misc{ pirsa_PIRSA:08040073, doi = {10.48660/08040073}, url = {https://pirsa.org/08040073}, author = {Bacciagaluppi, Guido}, keywords = {Quantum Foundations}, language = {en}, title = {A new no-go theorem for hidden variables theories}, publisher = {Perimeter Institute}, year = {2008}, month = {apr}, note = {PIRSA:08040073 see, \url{https://pirsa.org}} }
University of Sydney
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Abstract
Consider the quantum predictions for EPR-type measurements on two systems with Hilbert space of dimension at least 3 in any maximally entangled state. I show that the only possible hidden variables model of these probabilities that satisfies both Shimony\'s and Jarrett\'s condition of parameter independence (or `locality\') and Jones and Clifton\'s condition of conditional parameter independence (or `constrained locality\') is trivial, i.e. given by the quantum probabilities themselves. I shall attempt to discuss also the meaning of the conditions and of this result.