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Quantum Information Processing
Published in: Quantum Information Processing 6/2020

01-06-2020

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

Published in: Quantum Information Processing | Issue 6/2020

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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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Metadata
Title
The construction of 7-qubit unextendible product bases of size ten
Publication date
01-06-2020
Published in
Quantum Information Processing / Issue 6/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02684-8

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