Construction of quaternary quantum error-correcting codes via orthogonal arrays

Shanqi Pang; Fuyuan Yang; Rong Yan; Jiao Du; Jiao Du; Tianyin Wang; Tianyin Wang

doi:10.3389/fphy.2023.1148398

Frontiers in Physics (Feb 2023)

Construction of quaternary quantum error-correcting codes via orthogonal arrays

Shanqi Pang,
Fuyuan Yang,
Rong Yan,
Jiao Du,
Jiao Du,
Tianyin Wang,
Tianyin Wang

Affiliations

Shanqi Pang: College of Mathematics and Information Science, Henan Normal University, Xinxiang, China
Fuyuan Yang: College of Mathematics and Information Science, Henan Normal University, Xinxiang, China
Rong Yan: College of Mathematics and Information Science, Henan Normal University, Xinxiang, China
Jiao Du: College of Mathematics and Information Science, Henan Normal University, Xinxiang, China
Jiao Du: State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China
Tianyin Wang: School of Mathematical Science, Luoyang Normal University, Luoyang, China
Tianyin Wang: Guangxi key Laboratory of Trusted Software, Guilin University of Electronic Technology, Guilin, China

DOI: https://doi.org/10.3389/fphy.2023.1148398
Journal volume & issue: Vol. 11

Abstract

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This paper presents a method based on orthogonal arrays of constructing pure quaternary quantum error-correcting codes. As an application of the method, some infinite classes of quantum error-correcting codes with distances 2, 3, and 4 can be obtained. Moreover, the infinite class of quantum codes with distance 2 is optimal. The advantage of our method also lies in the fact that the quantum codes we obtain have less items for a basis quantum state than existing ones.

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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