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Construct New Form of Maximally Nine-Qubit Entangled State Via Recurrence Relation

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Abstract

Descrying all aspects of the quantum entanglement of multipartite quantum systems is an essential part when researching the quantum entanglement. Maximally multi-qubit entangled state is one of the research objects. Recently, attracted by a criterion for maximally entangled nine-qubit state and construct a nine-qubit maximally entangled state, we construct a new genuine maximally nine-qubit entangled state via the recurrence relation. Further, nine-qubit entangled state is found which can be seen as a new form maximally nine-qubit entangled state. There are 108 of purity equal to 1/16, 18 of purity equal to 1/8 in observation. We believe the result could provide a new idea for constructing more new maximally multi-qubit states.

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Acknowledgements

This work was supported by Natural Science Fund of Shaanxi Province (No. 2018JQ6002)

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Authors and Affiliations

  1. School of Science, Xi’an University of Posts and Telecommunications, Xi’an, 710061, China

    Junling Che & Peilin Zhao

  2. Key Laboratory for Physical Electronics and Devices of the Ministry of Education, School of Science, Shaanxi Key Lab of Information Photonic Technique and Institute of Wide Bandgap Semiconductors, Xi’an Jiaotong University, Xi’an, 710049, China

    Feng Wen

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  1. Junling Che
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  2. Peilin Zhao
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  3. Feng Wen
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Correspondence to Junling Che.

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Che, J., Zhao, P. & Wen, F. Construct New Form of Maximally Nine-Qubit Entangled State Via Recurrence Relation. Int J Theor Phys 59, 3979–3984 (2020). https://doi.org/10.1007/s10773-020-04648-1

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  • DOI: https://doi.org/10.1007/s10773-020-04648-1

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