FUNCTIONAL DEUTSCH UNCERTAINTY PRINCIPLE

Authors

K. Mahesh Krishna, Indian Statistical Institute Bangalore

Article Type

Research Article

Publication Title

Journal of Classical Analysis

Abstract

Entropic uncertainty principle for finite dimensional Hilbert spaces (known as Deutsch uncertainty) obtained by Deutsch [Phys. Rev. Lett., 1983] is a foundational result in Mathematics and Physics. We derive the Deutsch uncertainty principle for finite dimensional Banach space and its dual. Our main tool is the notion of Parseval p-frames for Banach spaces. Using the celebrated Buzano inequality in Hilbert spaces, we show that our result reduces to the Deutsch uncertainty principle for Hilbert spaces.

First Page

11

Last Page

18

DOI

10.7153/jca-2024-23-02

Publication Date

1-1-2024

Comments

Open Access; Gold Open Access; Green Open Access

Recommended Citation

Krishna, K. Mahesh, "FUNCTIONAL DEUTSCH UNCERTAINTY PRINCIPLE" (2024). Journal Articles. 4800.
https://digitalcommons.isical.ac.in/journal-articles/4800