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A measure of correlation is said to have the tensorization property if it is unchanged when computed for i.i.d.\ copies.
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D. Chafaï, Binomial-Poisson entropic inequalities and the M / M / ∞ M/M/\infty queue. ESAIM: Probability and Statistics, 10, 317-339, 2006
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C. Nair, “Equivalent formulations of Hypercontractivity using Information Measures,” IZS workshop, 2014, available at http://chandra.ie.cuhk.edu.hk/pub/papers/manuscripts/IZS14.pdf
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S. Beigi and A. Gohari, “Monotone Measures for Non-Local Correlations,” IEEE Transactions on Information Theory, 61 (9): 5185–5208, 2015
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S. Kamath and C. Nair, “The strong data processing constant for sums of i.i.d. random variables,” Information Theory (ISIT), 2015 IEEE International Symposium on, pp. 2550–2552
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M. Raginsky, “Strong Data Processing Inequalities and Φ \Phi -Sobolev Inequalities for Discrete Channels,” IEEE Transactions on Information Theory, 62 (6), 3355–3389, 2016
2016
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