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Non-commutative R\'{e}nyi Entropic Uncertainty Principles

Operator Algebras 2019-04-10 v1 Information Theory Mathematical Physics math.IT math.MP Quantum Algebra

Abstract

In this paper, we calculate the norm of the string Fourier transform on subfactor planar algebras and characterize the extremizers of the inequalities for parameters 0<p,q0<p,q\leq \infty. Furthermore, we establish R\'{e}nyi entropic uncertainty principles for subfactor planar algebras.

Keywords

Cite

@article{arxiv.1904.04292,
  title  = {Non-commutative R\'{e}nyi Entropic Uncertainty Principles},
  author = {Zhengwei Liu and Jinsong Wu},
  journal= {arXiv preprint arXiv:1904.04292},
  year   = {2019}
}

Comments

15 pages

R2 v1 2026-06-23T08:33:24.648Z