Physics – Quantum Physics
Scientific paper
2010-03-09
Eur. Phys. J. D 61, 249-252(2011)
Physics
Quantum Physics
5 pages, 3 figures, big change, version as close as possible to the published version in Eur. Phys. J. D
Scientific paper
10.1140/epjd/e2010-00254-9
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.
Xiang Yanrong
Xiong Shi-Jie
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