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Hierarchical Controlled Remote State Preparation by Using a Four-Qubit Cluster State

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Abstract

We propose a scheme for hierarchical controlled remote preparation of an arbitrary single-qubit state via a four-qubit cluster state as the quantum channel. In this scheme, a sender wishes to help three agents to remotely prepare a quantum state, respectively. The three agents are divided into two grades, that is, an agent is in the upper grade and other two agents are in the lower grade. In this process of remote state preparation, the agent of the upper grade only needs the assistance of any one of the other two agents for recovering the sender’s original state, while an agent of the lower grade needs the collaboration of all the other two agents. In other words, the agents of two grades have different authorities to reconstruct sender’s original state.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant No. 11547023, No.51605338); Jiangsu Key Laboratory for Chemistry of Low-Dimensional Materials opening project (No. JSKC17007).

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Correspondence to Peng-Cheng Ma.

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Ma, PC., Chen, GB., Li, XW. et al. Hierarchical Controlled Remote State Preparation by Using a Four-Qubit Cluster State. Int J Theor Phys 57, 1748–1755 (2018). https://doi.org/10.1007/s10773-018-3700-z

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