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The construction of 7-qubit unextendible product bases of size ten

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Abstract

The construction of multiqubit unextendible product bases (UPBs) is an important problem in quantum information. We construct a 7-qubit UPB of size 10 by studying the unextendible orthogonal matrices. We apply our result to construct an 8-qubit UPB of size 18. Our results solve an open problem proposed in (J Phys A 51:265302, 2018). We also investigate the properties of general 7-qubit UPBs of size 10.

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Acknowledgements

This work was supported by the NNSF of China (Grant No. 11871089), and the Fundamental Research Funds for the Central Universities (Grant No. ZG216S2005).

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Authors and Affiliations

  1. School of Mathematical Sciences, Beihang University, Beijing, 100191, China

    Kai Wang & Lin Chen

  2. International Research Institute for Multidisciplinary Science, Beihang University, Beijing, 100191, China

    Lin Chen

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  1. Kai Wang
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  2. Lin Chen
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Correspondence to Lin Chen.

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Wang, K., Chen, L. The construction of 7-qubit unextendible product bases of size ten. Quantum Inf Process 19, 185 (2020). https://doi.org/10.1007/s11128-020-02684-8

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  • DOI: https://doi.org/10.1007/s11128-020-02684-8

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