Symmetries, group actions, and entanglement
Janusz Grabowski, Marek Kus, Giuseppe Marmo
TL;DR
This paper explores the geometric structure of quantum state spaces, focusing on symmetries and group actions, and introduces measures of entanglement for composite quantum systems.
Contribution
It provides a detailed analysis of the geometry of density states and examples of entanglement measures, highlighting the role of symmetries and group actions.
Findings
Characterization of the geometry of density states
Examples of entanglement measures for composite systems
Analysis of canonical group actions on quantum state spaces
Abstract
We address several problems concerning the geometry of the space of Hermitian operators on a finite-dimensional Hilbert space, in particular the geometry of the space of density states and canonical group actions on it. For quantum composite systems we discuss and give examples of measures of entanglement.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Mechanics and Applications · Noncommutative and Quantum Gravity Theories