Quantum smooth uncertainty principles for von Neumann bi-algebras

Linzhe Huang; Zhengwei Liu; Jinsong Wu

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arXiv · 2107.09057

Quantum smooth uncertainty principles for von Neumann bi-algebras

Linzhe Huang·Zhengwei Liu·Jinsong Wu

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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.

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BibTeX RIS

Linzhe Huang, Zhengwei Liu, Jinsong Wu. 2021-07-19. Quantum smooth uncertainty principles for von Neumann bi-algebras. https://arxiv.org/abs/2107.09057

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