Open Access

ARTICLE

New Quantum Color Codes Based on Hyperbolic Geometry

Avaz Naghipour^1,*, Duc Manh Nguyen²

1 Department of Computer Engineering, University College of Nabi Akram, Tabriz, Iran
2 CIT Lab, University of Ulsan, Ulsan, 44610, Korea

* Corresponding Author: Avaz Naghipour. Email:

Journal of Quantum Computing 2022, 4(2), 113-120. https://doi.org/10.32604/jqc.2022.033712

Received 25 June 2022; Accepted 14 April 2023; Issue published 16 May 2023

Abstract

In this paper, hyperbolic geometry is used to constructing new quantum color codes. We use hyperbolic tessellations and hyperbolic polygons to obtain them by pairing the edges on compact surfaces. These codes have minimum distance of at least and the encoding rate near to which are not mentioned in other literature. Finally, a comparison table with quantum codes recently proposed by the authors is provided.

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Keywords

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