Uncertainty related to position and momentum localization of a quantum state

Abstract

This paper presents the uncertainty related to position and momentum localization of a quantum state in terms of entropic uncertainty relations. We slightly improve the inequality given in [Phys. Rev. A 74, 052101 (2006)] and introduce a new entropic measure with corresponding uncertainty relation.

arXiv comment7 pages

References in corpus (2)

• Heisenberg's Uncertainty Principle
• Entropic Uncertainty Relations in Quantum Physics

Cited by in corpus (5)

• Position-Momentum Uncertainty Relations in the Presence of Quantum Memory
• Majorization approach to entropic uncertainty relations for coarse-grained observables
• Optimal Uncertainty Relations for Extremely Coarse-grained Measurements
• Shannon entropy as a measure of uncertainty in positions and momenta
• Quantum Side Information: Uncertainty Relations, Extractors, Channel Simulations