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

TITLE=Construction of quaternary quantum error-correcting codes via orthogonal arrays

JOURNAL=Frontiers in Physics

VOLUME=11

YEAR=2023

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2023.1148398

DOI=10.3389/fphy.2023.1148398

ISSN=2296-424X

ABSTRACT=<p>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.</p>