TY  - EJOU
AU  - Naghipour, Avaz 
AU  - Nguyen, Duc Manh 

TI  - New Quantum Color Codes Based on Hyperbolic Geometry
T2  - Journal of Quantum Computing

PY  - 2022
VL  - 4
IS  - 2
SN  - 2579-0145

AB  - 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.
KW  - Color codes; compact surfaces; hyperbolic geometry; tessellations

DO  - 10.32604/jqc.2022.033712