Uncertainties and statistical correlations in quantum systems

Authors

  • Robin P. Sagar Universidad Autónoma Metropolitana-Iztapalapa

DOI:

https://doi.org/10.31349/RevMexFis.6.011303

Keywords:

uncertainty quantification statistical correlation, entropic uncertainty relation, phase-space distributions, quantum systems

Abstract

A survey of recent ideas and goals, along with a brief history behind the quantification of uncertainties and statistical correlation in quantum systems is presented. The focus is on ideas and connections taken from information theory, in particular, the quantification of uncertainties via Shannon entropies, the entropic uncertainty relation, and statistical correlation by mutual information. A discussion of phase-space distributions and their use in information theory is also given. An incomplete list of applications, with emphasis on confined quantum systems, is provided. The article concludes by addressing future challenges in these directions.

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Published

2025-04-30

How to Cite

1.
Sagar R. Uncertainties and statistical correlations in quantum systems. Supl. Rev. Mex. Fis. [Internet]. 2025 Apr. 30 [cited 2025 Jul. 23];6(1):011303 1-9. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/7999

Issue

Vol. 6 No. 1 (2025): Suplemento de la Revista Mexicana de Física. Commemorating the 50th Anniversary of UAM: Applications of Information Theory in Natural Sciences

Section

13 50th Anniv. of UAM: Applications of Information Theory in Natural Sciences

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