Non-commutative Rényi Entropic Uncertainty Principles

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 $0<p,q\le \infty$. Furthermore, we establish Rényi entropic uncertainty principles for subfactor planar algebras.

15 pages

References in corpus (2)

• Formulation of the uncertainty relations in terms of the Renyi entropies
• An elementary formula for entanglement entropies of fermionic systems