Nonlinear Maccone-Pati Uncertainty Principle

2024/02/01 by K. Mahesh Krishna, Krishna, K. Mahesh
Decision Sciences · #46B20 #46E30 #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Information Theory (cs.IT) #Mathematical Physics (math-ph) #Probabilistic and Robust Engineering Design

paper · pdf · doi:10.48550/arxiv.2402.08591

openalex publication_date 2024/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that one of the two important uncertainty principles derived by Maccone and Pati [Phys. Rev. Lett., 2014] can be derived for arbitrary maps defined on subsets of L^p spaces for 1< p<∞. 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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