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Construct Multipartite Maximally Entangled State via Recurrence Relation

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Abstract

Multi-qubit pure states play an important role in the application of quantum entanglement. In this paper, we find that the maximally multi-qubit pure states have a simple recurrence relation. The existence recurrence relation of multi-qubit maximally pure states of N-qubit for N = 2,3,⋯ ,8 are demonstrated. Further, some new characterizations of the multipartite maximally entangled states are found with the recurrence relation. These results may open a new window for constructing maximally multi-qubit states.

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Acknowledgements

This work was supported by National Science Foundation of Shannxi Province. Grant No. 2017JQ6024, New Star Team of Xi’an University of Posts and Telecommunications.

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  1. School of Science, Xian University of Posts and Telecommunications, Xian, 710121, China

    Junling Che & Hao Wu

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  1. Junling Che
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  2. Hao Wu
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Correspondence to Junling Che.

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Che, J., Wu, H. Construct Multipartite Maximally Entangled State via Recurrence Relation. Int J Theor Phys 58, 584–590 (2019). https://doi.org/10.1007/s10773-018-3956-3

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  • DOI: https://doi.org/10.1007/s10773-018-3956-3

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