A note on the realignment criterion
Quantum Physics
2013-04-11 v2
Abstract
For a quantum state in a bipartite system represented as a density matrix, researchers used the realignment matrix and functions on its singular values to study the separability of the quantum state. We obtain bounds for elementary symmetric functions of singular values of realignment matrices. This answers some open problems proposed by Lupo, Aniello, and Scardicchio. As a consequence, we show that the proposed scheme by these authors for testing separability would not work if the two subsystems of the bipartite system have the same dimension.
Cite
@article{arxiv.1103.2499,
title = {A note on the realignment criterion},
author = {Chi-Kwong Li and Yiu-Tung Poon and Nung-Sing Sze},
journal= {arXiv preprint arXiv:1103.2499},
year = {2013}
}
Comments
11 pages, to appear in Journal of Physics A: Mathematical and Theoretical