English

Symmetries, group actions, and entanglement

Mathematical Physics 2011-11-22 v1 Differential Geometry math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0603048,
  title  = {Symmetries, group actions, and entanglement},
  author = {Janusz Grabowski and Marek Kus and Giuseppe Marmo},
  journal= {arXiv preprint arXiv:math-ph/0603048},
  year   = {2011}
}

Comments

21 pages

R2 v1 2026-07-22T16:27:34.379Z