Abstract
In this paper, an innovative and efficient scheme is presented for multi-participants sharing arbitrary \(n+1\)-qudit states with two-qudit maximally entangled Bell channels under the control of \(p\) agents. After the sender (Alice) performs one GHZ-state measurement on her qudits, and each controller (all Bobs) makes a single-qudit measurement, the recipient (Charlie) only needs to operate a single-qudit unitary transformation based on the classical information from the sender and all controllers. This scheme is further expanded to deal with how to use non-maximally entangled Bell channels where an additional multi-qudit unitary operation is operated. Our result demonstrates that it is possible to share multi-qudit state under supervision with only two-qudit entangled Bell channels which makes it convenient in a practical application.
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Acknowledgments
We are very grateful to the patient and professional guidance of the anonymous reviewer. This work is supported by the National Natural Science Foundation of China (Nos. 61473199 and 61104002), the Natural Science Foundation of Jiangsu Province (No. BK2011283), and the Project on the Integration of Industry, Education and Research of Jiangsu Province (No. BY2012110).
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Wei, Yz., Jiang, M. Multi-qudit state sharing via various high-dimensional Bell channels. Quantum Inf Process 14, 1091–1102 (2015). https://doi.org/10.1007/s11128-014-0889-5
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DOI: https://doi.org/10.1007/s11128-014-0889-5