# 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/en/paper/0807.2360v1/

## Key points


## Summary

The paper "Separable Operations on Pure States" by Vlad Gheorghiu and Robert B. Griffiths delves into the characterization of ensembles produced by separable operations acting on a single pure bipartite entangled state. The authors demonstrate that these ensembles can be fully described by a majorization condition, which consists of a set of inequalities for Schmidt coefficients. This majorization condition is similar to the one established for local operations and classical communication (LOCC), allowing the authors to extend various results previously limited to LOCC scenarios to encompass all separable operations. These insights include implications for the monotonicity of entanglement, highlighting the broader connections between separable operations and entanglement manipulation. Overall, this study sheds light on the intricate relationships between separable operations and entanglement manipulation, providing valuable insights for further research in quantum information theory.