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 $0<p,q\leq \infty$. Furthermore, we establish Rényi entropic uncertainty principles for subfactor planar algebras.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2019
- DOI:
- 10.48550/arXiv.1904.04292
- arXiv:
- arXiv:1904.04292
- Bibcode:
- 2019arXiv190404292L
- Keywords:
-
- Mathematics - Operator Algebras;
- Computer Science - Information Theory;
- Mathematical Physics;
- Mathematics - Quantum Algebra
- E-Print:
- 15 pages