Quantum nonlocality, Bell inequalities, and the memory loophole

@article{Barrett2002QuantumNB,
  title={Quantum nonlocality, Bell inequalities, and the memory loophole},
  author={Jonathan Barrett and Daniel Geoffrey Collins and Lucien Hardy and Adrian Kent and Sandu Popescu},
  journal={Physical Review A},
  year={2002},
  volume={66},
  pages={042111}
}
In the analysis of experiments designed to reveal violation of Bell-type inequalities, it is usually assumed that any hidden variables associated with the nth particle pair would be independent of measurement choices and outcomes for the first (n - 1) pairs. Models which violate this assumption exploit what we call the memory loophole. We focus on the strongest type of violation, which uses the two-sided memory loophole, in which the hidden variables for pair n can depend on the previous… 
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References

SHOWING 1-9 OF 9 REFERENCES
Speakable and Unspeakable in Quantum Mechanics
in Proceedings of the 39th Annual Symposium on the Foundations of Computer Science
  • 503
  • 1998
Phys
  • Rev. Lett. 23, 880
  • 1969
Nature 398
  • 189
  • 1999
Phys
  • Lett. A 162, 15
  • 1992
Phys
  • Rev. A 47, R747
  • 1993
Phys
  • Rev. Lett 88
  • 2002
Phys
  • Lett. A 166, 293
  • 1992