PIRSA:08120037 Conference Quantum Foundations

DOI10.48660/08120037

Conference/School: Young Researchers Conference 2008

Colbeck, R. (2008). The impossibility of partially local hidden variable models for quantum theory and the relation to cryptography. Perimeter Institute. https://pirsa.org/08120037

Colbeck, Roger. The impossibility of partially local hidden variable models for quantum theory and the relation to cryptography. Perimeter Institute, Dec. 12, 2008, https://pirsa.org/08120037 

@misc{ pirsa_PIRSA:08120037,
  doi = {10.48660/08120037},
  url = {https://pirsa.org/08120037},
  author = {Colbeck, Roger},
  keywords = {Quantum Foundations},
  language = {en},
  title = {The impossibility of partially local hidden variable models for quantum theory and the relation to cryptography},
  publisher = {Perimeter Institute},
  year = {2008},
  month = {dec},
  note = {PIRSA:08120037 see, \url{https://pirsa.org}}
}

Abstract

More than 40 years ago, Bell ruled out completely local hidden variable models as an explanation for quantum correlations. However, a new type of hidden variable model has recently been brought to light by the work of Leggett. Such a model has both local and non-local parts. Roughly speaking, having a local part means that the measurement outcomes can be guessed with better than 50% success. In this talk, I will explain that there exist quantum correlations for which any hidden variable model must have a trivial local part. I will then discuss how an extension of the original theorem implies that these correlations can be used to enhance the quality of a private random string.

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