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The European Physical Journal D

, Volume 61, Issue 1, pp 249–252 | Cite as

Nonlocal information as condition for violations of Bell inequality and information causality

  • Y. XiangEmail author
  • S. J. Xiong
Article
  • 57 Downloads

Abstract.

On the basis of local realism theory, nonlocal information is necessary for violation of Bell's inequality. From a theoretical point of view, nonlocal information is essentially the mutual information on distant outcome and measurement setting. In this work we prove that if the measurement is free and unbiased, the mutual information about the distant outcome and setting is both necessary for the violation of Bell's inequality in the case with unbiased marginal probabilities. In the case with biased marginal probabilities, we point out that the mutual information about distant outcome cease to be necessary for violation of Bell's inequality, while the mutual information about distant measurement settings is still required. We also prove that the mutual information about distant measurement settings must be contained in the transmitted messages due to the freedom of measurement choices. Finally we point out that the mutual information about both distant outcome and measurement settings are necessary for a violation of information causality.

Keywords

Mutual Information Marginal Probability Bell Inequality Distant Outcome Information Causality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.School of Physics and Electronics, Henan UniversityHenan provinceP.R. China
  2. 2.National Laboratory of Solid State Microstructures and Department of Physics, Nanjing UniversityNanjingP.R. China

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