English

Separable Operations on Pure States

Quantum Physics 2009-02-17 v3

Abstract

We show that the possible ensembles produced when a separable operation acts on a single pure bipartite entangled state are completely characterized by a majorization condition, a collection of inequalities for Schmidt coefficients, which is identical to that already known for the particular case of local operations and classical communication (LOCC). As a consequence, various known results for LOCC, including some involving monotonicity of entanglement, can be extended to the class of all separable operations.

Keywords

Cite

@article{arxiv.0807.2360,
  title  = {Separable Operations on Pure States},
  author = {Vlad Gheorghiu and Robert B. Griffiths},
  journal= {arXiv preprint arXiv:0807.2360},
  year   = {2009}
}

Comments

Typo corrected in the abstract

R2 v1 2026-06-21T11:00:40.589Z