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Quantum smooth uncertainty principles for von Neumann bi-algebras

  • Linzhe Huang

    Tsinghua University, Beijing, P. R. China

  • Zhengwei Liu

    Tsinghua University, Beijing, P. R. China; Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, P. R. China

  • Jinsong Wu

    Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, P. R. China
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Abstract

In this article, we prove various smooth uncertainty principles on von Neumann bi-algebras, which unify a number of uncertainty principles on quantum symmetries, such as subfactors, fusion bialgebras, etc., studied in quantum Fourier analysis. We also obtain Wigderson–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.

Cite this article

Linzhe Huang, Zhengwei Liu, Jinsong Wu, Quantum smooth uncertainty principles for von Neumann bi-algebras. Quantum Topol. (2024), published online first

DOI 10.4171/QT/207