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Non-commutative Rényi Entropic Uncertainty Principles (1904.04292v1)
Published 8 Apr 2019 in math.OA, cs.IT, math-ph, math.IT, math.MP, and math.QA
Abstract: 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 $0<p,q\leq \infty$. Furthermore, we establish R\'{e}nyi entropic uncertainty principles for subfactor planar algebras.