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Non-ideal teleportation of tripartite entanglement: Einstein–Podolsky–Rosen versus Greenberger–Horne–Zeilinger schemes

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Abstract

Channels composed by Einstein–Podolsky–Rosen (EPR) pairs are capable of teleporting arbitrary multipartite states. The question arises whether EPR channels are also optimal against imperfections. In particular, the teleportation of Greenberger–Horne–Zeilinger states (GHZ) requires three EPR states as the channel and full measurements in the Bell basis. We show that, by using two GHZ states as the channel, it is possible to transport any unknown three-qubit state of the form \(c_0|000\rangle +c_1|111\rangle \). The teleportation is made through measurements in the GHZ basis, and, to obtain deterministic results, in most of the investigated scenarios, four out of the eight elements of the basis need to be unambiguously distinguished. Most importantly, we show that when both systematic errors and noise are considered, the fidelity of the teleportation protocol is higher when a GHZ channel is used in comparison with that of a channel composed by EPR pairs.

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Acknowledgements

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) is acknowledged.

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

    Márcio M. Cunha, E. A. Fonseca, M. G. M. Moreno & Fernando Parisio

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  1. Márcio M. Cunha
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  2. E. A. Fonseca
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  3. M. G. M. Moreno
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  4. Fernando Parisio
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Correspondence to Fernando Parisio.

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Cunha, M.M., Fonseca, E.A., Moreno, M.G.M. et al. Non-ideal teleportation of tripartite entanglement: Einstein–Podolsky–Rosen versus Greenberger–Horne–Zeilinger schemes. Quantum Inf Process 16, 254 (2017). https://doi.org/10.1007/s11128-017-1705-9

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