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Hierarchical joint remote state preparation in noisy environment

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Abstract

A novel scheme for quantum communication having substantial applications in practical life is designed and analyzed. Specifically, we have proposed a hierarchical counterpart of the joint remote state preparation (JRSP) protocol, where two senders can jointly and remotely prepare a quantum state. One sender has the information regarding amplitude, while the other one has the phase information of a quantum state to be jointly prepared at the receiver’s port. However, there exists a hierarchy among the receivers, as far as powers to reconstruct the quantum state are concerned. A 5-qubit cluster state has been used here to perform the task. Further, it is established that the proposed scheme for hierarchical JRSP (HJRSP) is of enormous practical importance in critical situations involving defense and other sectors, where it is essential to ensure that an important decision/order that can severely affect a society or an organization is not taken by a single person, and once the order is issued, all the receivers do not possess an equal right to implement it. Further, the effect of different noise models (e.g., amplitude damping (AD), phase damping (PD), collective noise and Pauli noise models) on the HJRSP protocol proposed here is investigated. It is found that in AD and PD noise models a higher-power agent can reconstruct the quantum state to be remotely prepared with higher fidelity than that done by the lower-power agent(s). In contrast, the opposite may happen in the presence of collective noise models. We have also proposed a scheme for probabilistic HJRSP using a non-maximally entangled 5-qubit cluster state.

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Acknowledgements

CS thanks Japan Society for the Promotion of Science (JSPS), Grant-in-Aid for JSPS Fellows No. 15F15015. AP thanks Department of Science and Technology (DST), India, for the support provided through the Project No. EMR/2015/000393. Authors thank M. Ozawa for his interest in the work and for some useful suggestions and comments. Authors thank Roopal Vegad for her help in preparing a schematic diagram.

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Authors and Affiliations

  1. Graduate School of Information Science, Nagoya University, Furo-cho 1, Chikusa-ku, Nagoya, 464-8601, Japan

    Chitra Shukla

  2. Jaypee Institute of Information Technology, A-10, Sector-62, Noida, UP, 201307, India

    Kishore Thapliyal & Anirban Pathak

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  1. Chitra Shukla
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Correspondence to Anirban Pathak.

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Shukla, C., Thapliyal, K. & Pathak, A. Hierarchical joint remote state preparation in noisy environment. Quantum Inf Process 16, 205 (2017). https://doi.org/10.1007/s11128-017-1654-3

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