Product Entropic Uncertainty Principle

TL;DR

This paper introduces a new entropic uncertainty principle for the product of entropies, extending previous principles like Deutsch's, using functions to establish the relation.

Contribution

It derives a novel uncertainty principle for entropy products, expanding the theoretical framework of entropic uncertainty relations.

Findings

Establishes a new entropic uncertainty relation for entropy products.

Generalizes previous uncertainty principles such as Deutsch's.

Provides a mathematical foundation for entropy product relations.

Abstract

Motivated from Deutsch entropic uncertainty principle and several product uncertainty principles, we derive an uncertainty principle for the product of entropies using functions.