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arXiv · 0812.3322

Freudenthal triple classification of three-qubit entanglement

L. Borsten·D. Dahanayake·M. J. Duff·H. Ebrahim·W. Rubens
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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.

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L. Borsten, D. Dahanayake, M. J. Duff, H. Ebrahim, W. Rubens. 2008-12-17. Freudenthal triple classification of three-qubit entanglement. https://doi.org/10.1103/physreva.80.032326

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