Entangled entanglement

Author(s)
Gabriele Uchida, Reinhold A. Bertlmann, Beatrix C. Hiesmayr
Abstract

The familiar Greenberger–Horne–Zeilinger (GHZ) states can be rewritten

by entangling the Bell states for two qubits with a third qubit state,

which is dubbed entangled entanglement. We show that in a

constructive way we obtain all eight independent GHZ states that form

the simplex of entangled entanglement, the magic simplex. The

construction procedure allows a generalization to higher dimensions

both, in the degrees of freedom (considering qudits) as well as in the

number of particles (considering n-partite states). Such bases of GHZ-type states exhibit a cyclic geometry, a Merry Go Round, that is relevant for experimental and quantum information theoretic applications.

Organisation(s)
Particle Physics
Journal
Physics Letters. Section A: General, Atomic and Solid State Physics
Volume
379
Pages
2698-2703
No. of pages
6
ISSN
0375-9601
DOI
https://doi.org/10.1016/j.physleta.2015.07.045
Publication date
10-2015
Peer reviewed
Yes
Austrian Fields of Science 2012
103034 Particle physics
Portal url
https://ucris.univie.ac.at/portal/en/publications/entangled-entanglement(e502e943-edd5-41de-b792-9fd00b68894a).html