Classification of Tripartite Entanglement with one Qubit
Quantum Physics
2009-11-11 v2
Abstract
We present a method to find the decompositions of tripartite entangled pure states which are smaller than two successive Schmidt decompositions. The method becomes very simple when one of the subsystems is a qubit. In this particular case, we get a classification of states according to their decompositions. Furthermore, we also use this method to classify the entangled states that can be inter-converted through stochastic local operations and classical communication (SLOCC). More general tripartite systems are briefly discussed.
Cite
@article{arxiv.quant-ph/0507041,
title = {Classification of Tripartite Entanglement with one Qubit},
author = {Marcio F. Cornelio and A. F. R. de Toledo Piza},
journal= {arXiv preprint arXiv:quant-ph/0507041},
year = {2009}
}
Comments
Revised version with a new title, a simplification in section III and added references