Entangled entanglement: A construction procedure

Gabriele Uchida; Reinhold A. Bertlmann; Beatrix C. Hiesmayr

doi:10.1016/j.physleta.2015.07.045

Entangled entanglement: A construction procedure

Gabriele Uchida
, Reinhold A. Bertlmann
, Beatrix C. Hiesmayr

Particle Physics

Publications: Contribution to journal › Article › Peer Reviewed

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.

Original language	English
Pages (from-to)	2698-2703
Number of pages	6
Journal	Physics Letters. Section A: General, Atomic and Solid State Physics
Volume	379
Issue number	42
DOIs	https://doi.org/10.1016/j.physleta.2015.07.045
Publication status	Published - 30 Oct 2015

Funding

B.C.H. acknowledges gratefully the Austrian Science Fund (FWF-P23627-N16).

Austrian Fields of Science 2012

103034 Particle physics

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10.1016/j.physleta.2015.07.045

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title = "Entangled entanglement: A construction procedure",

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.",

author = "Gabriele Uchida and Bertlmann, \{Reinhold A.\} and Hiesmayr, \{Beatrix C.\}",

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T1 - Entangled entanglement

T2 - A construction procedure

AU - Uchida, Gabriele

AU - Bertlmann, Reinhold A.

AU - Hiesmayr, Beatrix C.

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 - https://www.scopus.com/pages/publications/84941810979

U2 - 10.1016/j.physleta.2015.07.045

DO - 10.1016/j.physleta.2015.07.045

M3 - Article

SN - 0375-9601

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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

IS - 42

ER -

Entangled entanglement: A construction procedure

Abstract

Funding

Austrian Fields of Science 2012

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