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

Yuan-Hong Tao; Yuan-Hong Tao; Xin-Lei Yong; Ya-Ru Bai; Dan-Ni Xu; Shu-Hui Wu

doi:10.3389/fphy.2022.896164

Frontiers in Physics (Jun 2022)

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

Yuan-Hong Tao,
Yuan-Hong Tao,
Xin-Lei Yong,
Ya-Ru Bai,
Dan-Ni Xu,
Shu-Hui Wu

Affiliations

Yuan-Hong Tao: Department of Big Data, School of Science, Zhejiang University of Science and Technology, Hangzhou, China
Yuan-Hong Tao: Department of Mathematics, College of Sciences, Yanbian University, Yanji, China
Xin-Lei Yong: Department of Mathematics, College of Sciences, Yanbian University, Yanji, China
Ya-Ru Bai: Department of Big Data, School of Science, Zhejiang University of Science and Technology, Hangzhou, China
Dan-Ni Xu: Department of Big Data, School of Science, Zhejiang University of Science and Technology, Hangzhou, China
Shu-Hui Wu: Department of Big Data, School of Science, Zhejiang University of Science and Technology, Hangzhou, China

DOI: https://doi.org/10.3389/fphy.2022.896164
Journal volume & issue: Vol. 10

Abstract

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We systematically study the constructions of unextendible entangled bases with a fixed Schmidt number k (UEBk) in a bipartite system Cd⊗Cd′. Motivated by the methods of [J. Phys. A 52 : 375,303, 2019], we construct (dd’ − v)-member UEBks in Cd⊗Cd′ 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 C5⊗C6 and C6⊗C6.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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