Abstract:In this paper, we introduce a new measure of correlation for bipartite quantum states. This measure depends on a parameter α, and is defined in terms of vector-valued L p -norms. The measure is within a constant of the exponential of α-Rényi mutual information, and reduces to the trace norm (total variation distance) for α = 1. We will prove some decoupling type theorems in terms of this measure of correlation, and present some applications in privacy amplification as well as in bounding the random coding expo… Show more
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