Construction of quantum codes with large minimum distance from hyperbolic tessellations

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作者

Avaz Naghipour¹

1. Department of Computer Engineering, University College of Nabi Akram

会议/活动

4th Asian Conference on Science, Technology & Medicine, November 2021 (虚拟会议)

海报摘要

In this paper we construct a large number of quantum codes on compact surfaces with genus derived from hyperbolic tessellations with large minimum distance and encoding rate asymptotically going to 1 while n tends to infinity. These quantum codes are associated with embeddings of complete bipartite graphs. We also show a table comparing the rate of these quantum codes when the minimum distance of code is at least four.

关键词

Quantum codes, Compact surfaces, Hyperbolic tessellations, Embeddings, Complete bipartite graphs

研究领域

Computer and Information Science

参考文献

1. Naghipour, A.: Construction of quantum codes from new embeddings of graphs on compact surfaces, Optical and Quantum Electronics, 2020, 40, pp. 1-13.
2. Soares Jr., W. S. and da Silva, E. B.: Hyperbolic quantum color codes, Quantum Information and Computation, 2018, 18, pp. 307-318.
3. de Albuquerque, C. D., Palazzo Jr., R. and da Silva, E. B.: Families of classes of topological quantum codes from tessellations {4i+2,2i+1}, {4i,4i}, {8i-4,4} and {12i-6,3}, Quantum Information and Computation, 2014, 14, pp. 1424-1440.

基金

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附加信息

利益冲突

No competing interests were disclosed.

数据可用性声明

Data sharing not applicable to this poster as no datasets were generated or analyzed during the current study.

知识共享许可协议

Copyright © 2023 Naghipour. This is an open access work distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.