Quantum smooth uncertainty principles for von Neumann bi-algebras [article]

Linzhe Huang, Zhengwei Liu, Jinsong Wu
2021 arXiv   pre-print
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.
arXiv:2107.09057v1 fatcat:sfpy5ex62rhi7nw6uprr356wnu