Non-local setting and outcome information for violation of Bell's inequality

Author(s)
Marcin Pawlowski, Johannes Kofler, Tomasz Paterek, Michael Seevinck, Caslav Brukner
Abstract

Bell's theorem is a no-go theorem stating that quantum mechanics cannot be reproduced by a physical theory based on realism, freedom to choose experimental settings and two locality conditions: setting (SI) and outcome (OI) independence. We provide a novel analysis of what it takes to violate Bell's inequality within the framework in which both realism and freedom of choice are assumed, by showing that it is impossible to model a violation without having information in one laboratory about both the setting and the outcome at the distant one. While it is possible that outcome information can be revealed from shared hidden variables, the assumed experimenter's freedom to choose the settings ensures that the setting information must be non-locally transferred even when the SI condition is obeyed. The amount of transmitted information about the setting that is sufficient to violate the CHSH inequality up to its quantum mechanical maximum is 0.736 bits.

Organisation(s)
Quantum Optics, Quantum Nanophysics and Quantum Information
External organisation(s)
University of Gdańsk, Österreichische Akademie der Wissenschaften (ÖAW), Radboud University
Journal
New Journal of Physics
Volume
12
No. of pages
9
ISSN
1367-2630
DOI
https://doi.org/10.1088/1367-2630/12/8/083051
Publication date
2010
Peer reviewed
Yes
Austrian Fields of Science 2012
103025 Quantum mechanics
Portal url
https://ucrisportal.univie.ac.at/en/publications/744c308e-05d0-4ed3-9df1-5f5908375403