An algebraic approach to the study of multipartite entanglement
Quantum Physics
2013-07-17 v2
Abstract
A simple algebraic approach to the study of multipartite entanglement for pure states is introduced together with a class of suitable functionals able to detect entanglement. On this basis, some known results are reproduced. Indeed, by investigating the properties of the introduced functionals, it is shown that a subset of such class is strictly connected to the purity. Moreover, a direct and basic solution to the problem of the simultaneous maximization of three appropriate functionals for three-qubit states is provided, confirming that the simultaneous maximization of the entanglement for all possible bipartitions is compatible only with the structure of GHZ-states.
Keywords
Cite
@article{arxiv.1204.2227,
title = {An algebraic approach to the study of multipartite entanglement},
author = {S. Di Martino and B. Militello and A. Messina},
journal= {arXiv preprint arXiv:1204.2227},
year = {2013}
}