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A potential application in quantum networks—Deterministic quantum operation sharing schemes with Bell states

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Abstract

In this paper, we propose certain different design ideas on a novel topic in quantum cryptography — quantum operation sharing (QOS). Following these unique ideas, three QOS schemes, the “HIEC” (The scheme whose messages are hidden in the entanglement correlation), “HIAO” (The scheme whose messages are hidden with the assistant operations) and “HIMB” (The scheme whose messages are hidden in the selected measurement basis), have been presented to share the single-qubit operations determinately on target states in a remote node. These schemes only require Bell states as quantum resources. Therefore, they can be directly applied in quantum networks, since Bell states are considered the basic quantum channels in quantum networks. Furthermore, after analyse on the security and resource consumptions, the task of QOS can be achieved securely and effectively in these schemes.

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Authors and Affiliations

  1. School of Mathematical Science, HeiLongJiang University, Harbin, 150080, China

    KeJia Zhang & Long Zhang

  2. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    KeJia Zhang & YingHui Yang

  3. Department of Computer Science, College of Information Science and Technology, Jinan University, Guangzhou, 510632, China

    TingTing Song

Authors
  1. KeJia Zhang
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  2. Long Zhang
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  3. TingTing Song
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  4. YingHui Yang
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Correspondence to Long Zhang.

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Zhang, K., Zhang, L., Song, T. et al. A potential application in quantum networks—Deterministic quantum operation sharing schemes with Bell states. Sci. China Phys. Mech. Astron. 59, 660302 (2016). https://doi.org/10.1007/s11433-016-0021-5

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