Quantum smooth uncertainty principles for von Neumann bi-algebras
Operator Algebras
2021-07-21 v1 Information Theory
Mathematical Physics
Functional Analysis
math.IT
math.MP
Quantum Algebra
Abstract
In this article, we prove various smooth uncertainty principles on von Neumann bi-algebras, which unify numbers of uncertainty principles on quantum symmetries, such as subfactors, and fusion bi-algebras etc, studied in quantum Fourier analysis. We also obtain Widgerson-Wigderson type uncertainty principles for von Neumann bi-algebras. Moreover, we give a complete answer to a conjecture proposed by A. Wigderson and Y. Wigderson.
Keywords
Cite
@article{arxiv.2107.09057,
title = {Quantum smooth uncertainty principles for von Neumann bi-algebras},
author = {Linzhe Huang and Zhengwei Liu and Jinsong Wu},
journal= {arXiv preprint arXiv:2107.09057},
year = {2021}
}
Comments
20pages, 1 figure