Quantum communication cost of preparing multipartite entanglement

Details Quantum communication cost of preparing multipartite entanglement Quantum communication cost of preparing multipartite entanglement

2005-12-23

arxiv.org/abs/quant-ph/0512218v2

Phys. Rev. A 73, 062328 (2006)

Physics

Quantum Physics

21 pages, 17 figures; accepted for publication in Phys. Rev. A; v2: corrections in figures

Scientific paper

10.1103/PhysRevA.73.062328

We study the preparation and distribution of high-fidelity multi-party entangled states via noisy channels and operations. In the particular case of GHZ 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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