Criterion for SLOCC Equivalence of Multipartite Quantum States
Quantum Physics
2016-09-21 v1
Abstract
We study the stochastic local operation and classical communication (SLOCC) equivalence for arbitrary dimensional multipartite quantum states. For multipartite pure states, we present a necessary and sufficient criterion in terms of their coefficient matrices. This condition can be used to classify some SLOCC equivalent quantum states with coefficient matrices having the same rank. For multipartite mixed state, we provide a necessary and sufficient condition by means of the realignment of matrix. Some detailed examples are given to identify the SLOCC equivalence of multipartite quantum states.
Keywords
Cite
@article{arxiv.1609.05987,
title = {Criterion for SLOCC Equivalence of Multipartite Quantum States},
author = {Tinggui Zhang and Ming-Jing Zhao and Xiaofen Huang},
journal= {arXiv preprint arXiv:1609.05987},
year = {2016}
}