Possibility of generalized monogamy relations for multipartite entanglement beyond three qubits

Christopher Eltschka, Andreas Osterloh, and Jens Siewert
Phys. Rev. A 80, 032313 – Published 11 September 2009

Abstract

We discuss the possibility to interpret the residual entanglement for more than three qubits in terms of distributed multipartite entanglement or, in other words, possible extensions of the Coffman-Kundu-Wootters monogamy equality to higher qubit numbers. Existing knowledge on entanglement in multipartite systems puts narrow constraints on the form of such extensions. We study various examples for families of pure four-qubit states for which the characterization of three-qubit and four-qubit entanglement in terms of polynomial invariants is known. These examples indicate that, although families with such extensions do exist, a generalized monogamy equality cannot be found along those lines.

  • Received 7 April 2009

DOI:https://doi.org/10.1103/PhysRevA.80.032313

©2009 American Physical Society

Authors & Affiliations

Christopher Eltschka

  • Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany

Andreas Osterloh

  • Institut für Theoretische Physik, Leibniz Universität Hannover, D-30167 Hannover, Germany

Jens Siewert

  • Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany and Departamento de Química Física, Universidad del País Vasco–Euskal Herriko Unibertsitatea, Apdo. 644, 48080 Bilbao, Spain

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Issue

Vol. 80, Iss. 3 — September 2009

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