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Hierarchical quantum information splitting of an arbitrary m-qudit state with multiparty

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Abstract

In this paper, we concern on different methods to realize hierarchical quantum information splitting of an arbitrary m-qudit state with multiple agents. Two deterministic universal solutions are proposed with the aid of the symmetry feature of cluster state. There exists a hierarchy among the agents in terms of their abilities which are quantified by nonconditioned fidelity. The upper-grade agent needs the assistance of all the remaining upper-grade agents and any one of the lower-grade agents, while the lower-grade agent needs all the other agents’ collaboration. It is worth mentioning that the recovery operation is derived by a general expression which clearly discloses the relationship with the measurement results. Moreover, we consider the effect of two-type high-dimensional decoherence noises.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Nos. 61201253, 62172341, 62172196, 62272208).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Henan University, Kaifeng, 475004, China

    Songya Ma, Junli Jiang & Xia Yan

  2. Institute of Mathematics, Henan Academy of Sciences, Zhengzhou, 450046, China

    Songya Ma

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Ma, S., Jiang, J. & Yan, X. Hierarchical quantum information splitting of an arbitrary m-qudit state with multiparty. Quantum Inf Process 22, 263 (2023). https://doi.org/10.1007/s11128-023-04018-w

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