English

Husimi coordinates of multipartite separable states

Quantum Physics 2015-05-18 v1

Abstract

A parametrization of multipartite separable states in a finite-dimensional Hilbert space is suggested. It is proved to be a diffeomorphism between the set of zero-trace operators and the interior of the set of separable density operators. The result is applicable to any tensor product decomposition of the state space. An analytical criterion for separability of density operators is established in terms of the boundedness of a sequence of operators.

Keywords

Cite

@article{arxiv.1004.4370,
  title  = {Husimi coordinates of multipartite separable states},
  author = {Georges Parfionov and Roman R. Zapatrin},
  journal= {arXiv preprint arXiv:1004.4370},
  year   = {2015}
}

Comments

19 pages, 1 figure, LaTeX

R2 v1 2026-06-21T15:14:33.274Z