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On the role of the four-qubit state in two-qubit gate teleportation

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Abstract

The full analysis of quantum protocols requires the knowledge of the role of quantum states, bases of measurement and quantum gates involved. In what concerns the famous two-qubit quantum gate teleportation protocol, the role of the basis of measurement was considered in a recent work by Mendes and Ramos. In this work, we analyze the role of the four-qubit state used as resource. We show that the quantum two-qubit gate teleportation divides the set of pure four-qubit states in two classes. For one class, deterministic and probabilistic teleportation can be achieved, while for the other class, probabilistic remote two-qubit gate preparation is achieved.

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Acknowledgments

This work was supported by the Brazilian agencies CAPES and CNPq via Grant No. 303514/2008-6. Also, this work was performed as part of the Brazilian National Institute of Science and Technology for Quantum Information.

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Authors and Affiliations

  1. Laboratory of Quantum Information Technology, Department of Teleinformatic Engineering - Federal University of Ceara - DETI/UFC, C.P. 6007, Campus do Pici, Fortaleza, CE, 60455-970, Brazil

    P. R. M. Sousa, F. V. Mendes & R. V. Ramos

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  1. P. R. M. Sousa
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  2. F. V. Mendes
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  3. R. V. Ramos
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Correspondence to R. V. Ramos.

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Sousa, P.R.M., Mendes, F.V. & Ramos, R.V. On the role of the four-qubit state in two-qubit gate teleportation. Quantum Inf Process 15, 2125–2135 (2016). https://doi.org/10.1007/s11128-015-1108-8

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  • DOI: https://doi.org/10.1007/s11128-015-1108-8

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