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Product Entropic Uncertainty Principle

K. Mahesh Krishna

Abstract

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

Product Entropic Uncertainty Principle

Abstract

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

Paper Structure

This paper contains 2 sections, 5 theorems, 10 equations.

Table of Contents

  1. Introduction
  2. Product Entropic Uncertainty Principle

Key Result

Theorem 1.1

(Deutsch Uncertainty Principle) DEUTSCH Let $\{\tau_j\}_{j=1}^n$, $\{\omega_j\}_{j=1}^n$ be two orthonormal bases for a finite dimensional Hilbert space $\mathcal{H}$. Then

Theorems & Definitions (7)

  • Theorem 1.1
  • Definition 2.1
  • Lemma 2.2
  • Theorem 2.3
  • proof
  • Theorem 2.5
  • Theorem 2.6