Corpus ID: 119209067

The whole is greater than the sum of the parts: on the possibility of purely statistical interpretations of quantum theory

@article{Emerson2013TheWI,
title={The whole is greater than the sum of the parts: on the possibility of purely statistical interpretations of quantum theory},
author={Joseph Emerson and Dmitry Serbin and Chris Sutherland and Victor Veitch},
journal={arXiv: Quantum Physics},
year={2013}
}
The Pusey-Barrett-Rudolph theorem (PBR) claims to rule out the possibility of a purely statistical interpretation of the quantum state under an assumption of how to represent independent operations in any hidden variable model. We show that PBR's assumption of independence encodes an assumption of local causality, which is already known to conflict with the predictions of quantum theory via Bell-type inequalities. We devise a weaker formulation of independence within a general hidden variable… Expand
21 Citations

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References

SHOWING 1-8 OF 8 REFERENCES
Foundations of Physics 40
• 125
• 2010
and O
• J. E. Maroney, arXiv:1310.8302
• 2013
Nature Physics 8
• 475
• 2012
Foundations of Physics 12
• 98999
• 1982
Reviews of Modern Physics 38
• 447452
• 1966
Physical Review 85
• 180
• 1952
Physical review 47
• 777
• 1935