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New Quantum Color Codes Based on Hyperbolic Geometry

by Avaz Naghipour1,*, 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: email

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

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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APA Style
Naghipour, A., Nguyen, D.M. (2022). New quantum color codes based on hyperbolic geometry. Journal of Quantum Computing, 4(2), 113-120. https://doi.org/10.32604/jqc.2022.033712
Vancouver Style
Naghipour A, Nguyen DM. New quantum color codes based on hyperbolic geometry. J Quantum Comput . 2022;4(2):113-120 https://doi.org/10.32604/jqc.2022.033712
IEEE Style
A. Naghipour and D. M. Nguyen, “New Quantum Color Codes Based on Hyperbolic Geometry,” J. Quantum Comput. , vol. 4, no. 2, pp. 113-120, 2022. https://doi.org/10.32604/jqc.2022.033712



cc Copyright © 2022 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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