Freudenthal triple classification of three-qubit entanglement

Physics – Quantum Physics

Scientific paper

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11 pages, 2 figures, 6 tables, revtex; minor corrections, references added; version appearing in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.80.032326

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.

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