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 -