Non-Commutative R´enyi entropic uncertainty principles

Zhengwei Liu Department of Mathematics and Department of Physics, Harvard University, Cambridge, MA, 02138, USA Jinsong Wu Institute of Advanced Study in Mathematics, Harbin Institute of Technology, Harbin, 150001, China

Spectral Theory and Operator Algebra mathscidoc:2207.32002

Science China Mathematics, 63, 2287–2298, 2020.4
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.
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  title={Non-Commutative R´enyi entropic uncertainty principles},
  author={Zhengwei Liu, and Jinsong Wu},
  booktitle={Science China Mathematics},
Zhengwei Liu, and Jinsong Wu. Non-Commutative R´enyi entropic uncertainty principles. 2020. Vol. 63. In Science China Mathematics. pp.2287–2298.
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