PIRSA:08040073 Scientific Series Quantum Foundations

DOI10.48660/08040073

Series: Quantum Foundations

Bacciagaluppi, G. (2008). A new no-go theorem for hidden variables theories. Perimeter Institute. https://pirsa.org/08040073

Bacciagaluppi, Guido. A new no-go theorem for hidden variables theories. Perimeter Institute, Apr. 29, 2008, https://pirsa.org/08040073 

@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}}
}

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.

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