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Quantum state sharing against the controller’s cheating

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Abstract

Most existing QSTS schemes are equivalent to the controlled teleportation, in which a designated agent (i.e., the recoverer) can recover the teleported state with the help of the controllers. However, the controller may attempt to cheat the recoverer during the phase of recovering the secret state. How can we detect this cheating? In this paper, we considered the problem of detecting the controller’s cheating in Quantum State Sharing, and further proposed an effective Quantum State Sharing scheme against the controller’s cheating. We cleverly use Quantum Secret Sharing, Multiple Quantum States Sharing and decoy-particle techniques. In our scheme, via a previously shared entanglement state Alice can teleport multiple arbitrary multi-qubit states to Bob with the help of Charlie. Furthermore, by the classical information shared previously, Alice and Bob can check whether there is any cheating of Charlie. In addition, our scheme only needs to perform Bell-state and single-particle measurements, and to apply C-NOT gate and other single-particle unitary operations. With the present techniques, it is feasible to implement these necessary measurements and operations.

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Acknowledgments

This work was supported by National Natural Science Foundation of China (No. 61173187, No. 61173188), the Natural Science Foundation of Anhui Province (No. 11040606M141), The PhD Start-up Fund of Anhui University (33190187), and the 211 Project of Anhui University.

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Authors and Affiliations

  1. Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, Anhui University, Hefei, 230039, People’s Republic of China

    Run-hua Shi & Hong Zhong

  2. School of Computer Science and Technology, Anhui University, Hefei, 230601, People’s Republic of China

    Run-hua Shi & Hong Zhong

  3. National High Performance Computing Center at Hefei, Department of Computer Science and Technology, University of Science and Technology of China, Hefei, 230027, People’s Republic of China

    Liu-sheng Huang

  4. Suzhou Institute for Advanced Study, University of Science and Technology of China, Suzhou, 215123, People’s Republic of China

    Liu-sheng Huang

Authors
  1. Run-hua Shi
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  2. Hong Zhong
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  3. Liu-sheng Huang
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Correspondence to Run-hua Shi.

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Shi, Rh., Zhong, H. & Huang, Ls. Quantum state sharing against the controller’s cheating. Quantum Inf Process 12, 2889–2899 (2013). https://doi.org/10.1007/s11128-013-0571-3

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  • DOI: https://doi.org/10.1007/s11128-013-0571-3

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