Dynamic Symmetries and Entropic Inequalities in the Probability Representation of Quantum Mechanics
Margarita A. Man'ko, Vladimir I. Man'ko
TL;DR
This paper explores the probability representation of quantum mechanics, focusing on symmetries and entropic inequalities in various tomographic methods, linking them to dynamic symmetries like the symplectic group.
Contribution
It introduces the connection between tomographic probabilities and dynamic symmetries, and reviews entropic inequalities for spin tomograms in quantum mechanics.
Findings
Analysis of symplectic and spin tomographies
Review of entropic uncertainty relations
Connection between symmetries and probability representations
Abstract
The probability representation of quantum and classical statistical mechanics is discussed. Symplectic tomography, center-of-mass tomography, and spin tomography are studied. The connection of tomographic probabilities with dynamic symmetries like symplectic group is considered. Entropic uncertainty relations and inequalities for spin tomograms are reviewed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.