Unextendible Entangled Bases With a Fixed Schmidt Number Based on Generalized Weighing Matrices

We systematically study the constructions of unextendible entangled bases with a fixed Schmidt number k (UEB k ) in a bipartite system C d ⊗ C d ′ . Motivated by the methods of [J. Phys. A 52 : 375,303, 2019], we construct ( dd ’ − v )-member UEB k s in C d ⊗ C d ′ by using generalized weighing matr...

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Bibliographic Details
Published in:Frontiers in physics 2022-06, Vol.10
Main Authors: Tao, Yuan-Hong, Yong, Xin-Lei, Bai, Ya-Ru, Xu, Dan-Ni, Wu, Shu-Hui
Format: Article
Language:English
Subjects:
entangled bases with a fixed Schmidt number
generalized weighing matrix
quantum entanglement
Schmidt number
unextendible entangled bases with a fixed schmidt number k
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Summary:We systematically study the constructions of unextendible entangled bases with a fixed Schmidt number k (UEB k ) in a bipartite system C d ⊗ C d ′ . Motivated by the methods of [J. Phys. A 52 : 375,303, 2019], we construct ( dd ’ − v )-member UEB k s in C d ⊗ C d ′ by using generalized weighing matrices and thus generalize the results of [arXiv: 1909.10043, 2020]. We also present the corresponding expressions of our constructions and graphically illustrate UEB3s in C 5 ⊗ C 6 and C 6 ⊗ C 6 .
ISSN:2296-424X
2296-424X
DOI:10.3389/fphy.2022.896164