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Quantum smooth uncertainty principles for von Neumann bi-algebras

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 نشر من قبل Zhengwei Liu
 تاريخ النشر 2021
  مجال البحث الهندسة المعلوماتية
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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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