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Remote preparation of W states from imperfect bipartite sources

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Abstract

Several proposals to produce tripartite W-type entanglement are probabilistic even if no imperfections are considered in the processes. We provide a deterministic way to remotely create W states out of an EPR source. The proposal is made viable through measurements (which can be demolitive) in an appropriate three-qubit basis. The protocol becomes probabilistic only when source flaws are considered. It turns out that, even in this situation, it is robust against imperfections in two senses: (i) It is possible, after postselection, to create a pure ensemble of W states out of an EPR source containing a systematic error; (ii) If no postselection is done, the resulting mixed state has a fidelity, with respect to a pure \(|W\rangle \), which is higher than that of the imperfect source in comparison with an ideal EPR source. This simultaneously amounts to entanglement concentration and lifting.

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Acknowledgments

Financial support from Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) through its program INCT-IQ, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES), and Fundação de Amparo à Ciência e Tecnologia do Estado de Pernambuco (FACEPE) was acknowledged.

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  1. Departamento de Física, Universidade Federal de Pernambuco, Recife, 50670-901, Pernambuco, Brazil

    M. G. M. Moreno, Márcio M. Cunha & Fernando Parisio

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  1. M. G. M. Moreno
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  2. Márcio M. Cunha
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  3. Fernando Parisio
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Correspondence to Fernando Parisio.

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Moreno, M.G.M., Cunha, M.M. & Parisio, F. Remote preparation of W states from imperfect bipartite sources. Quantum Inf Process 15, 3869–3879 (2016). https://doi.org/10.1007/s11128-016-1358-0

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  • DOI: https://doi.org/10.1007/s11128-016-1358-0

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