Non-commutative Rényi Entropic Uncertainty Principles

04/08/2019

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by   Zhengwei Liu, et al.

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In this paper, we calculate the norm of the string Fourier transform on subfactor planar algebras and characterize the extremizers of the inequalities for parameters 0<p,q≤∞. Furthermore, we establish Rényi entropic uncertainty principles for subfactor planar algebras.