TY - JOUR
T1 - Entangled entanglement
T2 - A construction procedure
AU - Uchida, Gabriele
AU - Bertlmann, Reinhold A.
AU - Hiesmayr, Beatrix C.
N1 - Publisher Copyright:
© 2015 Elsevier B.V.
PY - 2015/10/30
Y1 - 2015/10/30
N2 - 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.
AB - 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.
UR - https://arxiv.org/abs/1410.7145
UR - http://www.scopus.com/inward/record.url?scp=84941810979&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2015.07.045
DO - 10.1016/j.physleta.2015.07.045
M3 - Article
VL - 379
SP - 2698
EP - 2703
JO - Physics Letters. Section A: General, Atomic and Solid State Physics
JF - Physics Letters. Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 42
ER -