Non-commutative Rényi entropic uncertainty principles  

作　　者：Zhengwei Liu Jinsong Wu 

机构地区：[1]Department of Mathematics and Department of Physics,Harvard University,Cambridge,MA 02138,USA [2]Institute of Advanced Study in Mathematics,Harbin Institute of Technology,Harbin 150001,China

出　　处：《Science China Mathematics》2020年第11期2287-2298,共12页中国科学：数学（英文版）

基　　金：supported by Templeton Religion Trust(Grant No.TRT0159);supported by National Natural Science Foundation of China(Grant No.11771413);Templeton Religion Trust(Grant No.TRT0159)。

摘　　要：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 Renyi entropic uncertainty principles for subfactor planar algebras.

关 键 词：Rényi entropy uncertainty principles Fourier transform SUBFACTORS 

分 类 号：O413.1[理学—理论物理]