English

Continuous optimal ensembles I: A geometrical characterization of robustly separable quantum states

Quantum Physics 2007-05-23 v1

Abstract

A geometrical characterization of robustly separable (that is, remaining separable under sufficiently small variiations) mixed states of a bipartite quantum system is given. It is shown that the density matrix of any such state can be represented as a normal vector to a hypersurface in the Euclidean space of all self-adjoint operators in the state space of the whole system. The expression for this hypersurface is provided.

Keywords

Cite

@article{arxiv.quant-ph/0503173,
  title  = {Continuous optimal ensembles I: A geometrical characterization of robustly separable quantum states},
  author = {Roman R. Zapatrin},
  journal= {arXiv preprint arXiv:quant-ph/0503173},
  year   = {2007}
}
R2 v1 2026-07-22T19:48:22.747Z