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Deterministic transfer of multiqubit GHZ entangled states and quantum secret sharing between different cavities

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Abstract

We propose a way for transferring Greenberger–Horne–Zeilinger (GHZ) entangled states from n qubits in one cavity to another n qubits in the other cavity. It is shown that n-qubit GHZ states \(\alpha \left| 00\ldots 0\right\rangle +\beta \left| 11\ldots 1\right\rangle \) with arbitrary degree of entanglement can be transferred deterministically. Both of the GHZ state transfer and the operation time are not dependent on the number of qubits, and there is no need of measurement. This proposal is quite general and can be applied to accomplish the same task for a wide range of physical qubits. Furthermore, note that the n-qubit GHZ state \(\alpha \left| 00\ldots 0\right\rangle +\beta \left| 11\ldots 1\right\rangle \) is a quantum-secret-sharing code for encoding a single-qubit arbitrary pure state \(\alpha \left| 0\right\rangle +\beta \left| 1\right\rangle \). Thus, this work also provides a way to transfer quantum secret sharing from n qubits in one cavity to another n qubits in the other cavity.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China under Grant Nos. 11074062 and 11374083, the Zhejiang Natural Science Foundation under Grant Nos. LZ13A040002 and LY15A040006, and the funds from Hangzhou Normal University under Grant Nos. HSQK0081 and PD13002004. This work was also supported by the funds of Hangzhou City for supporting the Hangzhou-City Quantum Information and Quantum Optics Innovation Research Team.

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  1. School of Science, Zhejiang University of Science and Technology, Hangzhou, 310023, Zhejiang, China

    Xiao-Ling He

  2. Department of Physics, Hangzhou Normal University, Hangzhou, 310036, Zhejiang, China

    Chui-Ping Yang

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He, XL., Yang, CP. Deterministic transfer of multiqubit GHZ entangled states and quantum secret sharing between different cavities. Quantum Inf Process 14, 4461–4474 (2015). https://doi.org/10.1007/s11128-015-1131-9

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