Quantum communication cost of preparing multipartite entanglement

Caroline Kruszynska, Simon Anders, Wolfgang Dür, and Hans J. Briegel
Phys. Rev. A 73, 062328 – Published 20 June 2006

Abstract

We study the preparation and distribution of high-fidelity multiparty entangled states via noisy channels and operations. In the particular case of Greenberger-Horne-Zeilinger and cluster states, we study different strategies using bipartite or multipartite purification protocols. The most efficient strategy depends on the target fidelity one wishes to achieve and on the quality of transmission channel and local operations. We show the existence of a crossing point beyond which the strategy making use of the purification of the state as a whole is more efficient than a strategy in which pairs are purified before they are connected to the final state. We also study the efficiency of intermediate strategies, including sequences of purification and connection. We show that a multipartite strategy is to be used if one wishes to achieve high fidelity, whereas a bipartite strategy gives a better yield for low target fidelity.

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  • Received 4 January 2006

DOI:https://doi.org/10.1103/PhysRevA.73.062328

©2006 American Physical Society

Authors & Affiliations

Caroline Kruszynska1,2,*, Simon Anders1, Wolfgang Dür1,2, and Hans J. Briegel1,2

  • 1Institut für Theoretische Physik, Universität Innsbruck, Technikerstrasse 25, 6020 Innsbruck, Austria
  • 2Institut für Quantenoptik und Quanteninformation der ÖAW, Technikerstrasse 21a, 6020 Innsbruck, Austria

  • *Electronic address: caroline.kruszynski@uibk.ac.at

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Issue

Vol. 73, Iss. 6 — June 2006

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