# Separable Operations on Pure States

**Authors:** Vlad Gheorghiu, Robert B. Griffiths  
**arXiv:** [0807.2360](https://arxiv.org/abs/0807.2360)  
**Date:** 2008-07-15  
**Summary page:** https://www.summarizepaper.com/fr/paper/0807.2360v1/

## Abstract

It is shown 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.