Continuous Krishna-Parthasarathy entropic uncertainty principle

Article Type

Research Article

Publication Title

Infinite Dimensional Analysis Quantum Probability and Related Topics

Abstract

In 2002, Krishna and Parthasarathy 7 derived discrete quantum version of Maassen-Uffink 8 entropic uncertainty principle. In this paper, using the notion of continuous operator-valued frames, we derive an entropic uncertainty principle for arbitrary family of operators indexed by measure spaces having finite measure. We give an application to the special case of compact groups.

DOI

10.1142/S0219025724400022

Publication Date

12-1-2024

Comments

Open Access; Green Open Access

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