Freudenthal triple classification of three-qubit entanglement

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

doi:10.1103/PhysRevA.80.032326

Freudenthal triple classification of three-qubit entanglement

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

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

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) 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.

Original language	English
Article number	032326
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	80
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.80.032326
Publication status	Published - 22 Sept 2009

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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.

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ER -

Freudenthal triple classification of three-qubit entanglement

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