Nonlocal information as condition for violations of Bell inequality and information causality |
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Authors: | Y Xiang and S J Xiong |
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Institution: | (1) Institute for Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany |
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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. |
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Keywords: | |
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