Non-commutative R\'{e}nyi Entropic Uncertainty Principles

TL;DR

This paper develops Rényi entropic uncertainty principles within the framework of subfactor planar algebras, providing new bounds and characterizations of extremizers for these quantum information measures.

Contribution

It introduces non-commutative Rényi entropic uncertainty principles and characterizes extremizers in the context of subfactor planar algebras.

Findings

Calculated the norm of the string Fourier transform on subfactor planar algebras.

Characterized extremizers of the inequalities for parameters 0<p,q≤∞.

Established Rényi entropic uncertainty principles for subfactor planar algebras.

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.