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arXiv · 2402.08591

Nonlinear Maccone-Pati Uncertainty Principle

K. Mahesh Krishna
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Abstract

We show that one of the two important uncertainty principles derived by Maccone and Pati \textit{[Phys. Rev. Lett., 2014]} can be derived for arbitrary maps defined on subsets of $\mathcal{L}^p$ spaces for $1< p<\infty$. Our main tool is the Clarkson inequalities. We also derive a nonlinear uncertainty principle for weak parallelogram spaces and Type-p Banach spaces.

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K. Mahesh Krishna. 2024-02-01. Nonlinear Maccone-Pati Uncertainty Principle. https://arxiv.org/abs/2402.08591

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