Nonlinear Maccone-Pati Uncertainty Principle
<|reference_start|>Nonlinear Maccone-Pati Uncertainty Principle: 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.<|reference_end|>
@article{krishna2024nonlinear,
    title={Nonlinear Maccone-Pati Uncertainty Principle},
    author={K. Mahesh Krishna},
    journal={arXiv preprint arXiv:2402.08591},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.08591},
    primaryClass={math.FA cs.IT math-ph math.IT math.MP}
}