Freudenthal triple classification of three-qubit entanglement
File(s)PhysRevA.80.032326.pdf (583.14 KB)
Published version
Author(s)
Borsten, L
Dahanayake, D
Duff, MJ
Rubens, W
Ebrahim, H
Type
Journal Article
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.
Date Issued
2009-09-01
Date Acceptance
2009-09-01
Citation
Physical Review A, 2009, 80 (3)
ISSN
1050-2947
Publisher
American Physical Society
Journal / Book Title
Physical Review A
Volume
80
Issue
3
Copyright Statement
© 2009 American Physical Society.
Sponsor
Science and Technology Facilities Council (STFC)
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000270383900067&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Grant Number
ST/G000743/1
Subjects
Science & Technology
Physical Sciences
Optics
Physics, Atomic, Molecular & Chemical
Physics
MAXWELL-EINSTEIN SUPERGRAVITY
JORDAN ALGEBRAS
BLACK-HOLES
MULTIPARTICLE ENTANGLEMENT
SCHMIDT DECOMPOSITION
EXCEPTIONAL GROUPS
ATTRACTORS
STATES
ORBITS
OCTONIONS
Publication Status
Published
Article Number
032326
Date Publish Online
2009-09-22