TY - JOUR
T1 - Freudenthal triple classification of three-qubit entanglement
AU - Borsten, L.
AU - Dahanayake, D.
AU - Duff, M. J.
AU - Rubens, W.
AU - Ebrahim, H.
PY - 2009/9/22
Y1 - 2009/9/22
N2 - 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) Greenberger-Horne-Zeilinger, 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 stochastic local operations and classical communication orbits.
AB - 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) Greenberger-Horne-Zeilinger, 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 stochastic local operations and classical communication orbits.
UR - http://www.scopus.com/inward/record.url?scp=70349479574&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.80.032326
DO - 10.1103/PhysRevA.80.032326
M3 - Article
AN - SCOPUS:70349479574
SN - 1050-2947
VL - 80
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
M1 - 032326
ER -