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

Kai Wang; Lin Chen

doi:10.1007/s11128-020-02684-8

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

Kai Wang
, Lin Chen^*

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English
Article number	185
Journal	Quantum Information Processing
Volume	19
Issue number	6
DOIs	https://doi.org/10.1007/s11128-020-02684-8
State	Published - 1 Jun 2020

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title = "The construction of 7-qubit unextendible product bases of size ten",

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

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