Freudenthal triple classification of three-qubit entanglement
Quantum Physics
2010-03-05 v4 High Energy Physics - Theory
Rings and Algebras
Abstract
We show that the three-qubit entanglement classes: (0) Null, (1) Separable A-B-C, (2a) Biseparable A-BC, (2b) Biseparable B-CA, (2c) Biseparable C-AB, (3) W and (4) GHZ correspond respectively to ranks 0, 1, 2a, 2b, 2c, 3 and 4 of a Freudenthal triple system defined over the Jordan algebra C+C+C. We also compute the corresponding SLOCC orbits.
Keywords
Cite
@article{arxiv.0812.3322,
title = {Freudenthal triple classification of three-qubit entanglement},
author = {L. Borsten and D. Dahanayake and M. J. Duff and H. Ebrahim and W. Rubens},
journal= {arXiv preprint arXiv:0812.3322},
year = {2010}
}
Comments
11 pages, 2 figures, 6 tables, revtex; minor corrections, references added; version appearing in Phys. Rev. A