Non-commutative RΓ©nyi Entropic Uncertainty Principles

April 08, 2019 Β· Declared Dead Β· πŸ› Science China Mathematics

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Authors Zhengwei Liu, Jinsong Wu arXiv ID 1904.04292 Category math.OA Cross-listed cs.IT, math-ph, math.QA Citations 7 Venue Science China Mathematics Last Checked 3 months ago
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 RΓ©nyi entropic uncertainty principles for subfactor planar algebras.
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