Polar Codes and Their Quantum-Domain Counterparts

Polar Codes and Their Quantum-Domain Counterparts
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DOI:
10.1109/comst.2019.2937923
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发表时间:
2019-09
影响因子:
35.6
通讯作者:
Zunaira Babar;Zeynep B. Kaykac Egilmez;Luping Xiang;Daryus Chandra;R. Maunder;S. Ng;L. Hanzo
Zunaira Babar;Zeynep B. Kaykac Egilmez;Luping Xiang;Daryus Chandra;R. Maunder;S. Ng;L. Hanzo
中科院分区:
计算机科学1区
文献类型:
--
作者:
Zunaira Babar;Zeynep B. Kaykac Egilmez;Luping Xiang;Daryus Chandra;R. Maunder;S. Ng;L. Hanzo

文献摘要

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阿里坎的极性码能够以较低的编码和解码复杂度接近香农的容量,同时方便地支持速率适应。凭借这些吸引人的功能,极性编码已经进入5G新无线电(NR)。因此,在本文中,我们提供了极地代码的全面调查,突出了在过去十年中取得的主要里程碑。此外,我们还提供了极地编码器,解码器及其代码构建方法的操作教程。我们还将讨论扩展到量子极码,重点是潜在的量子-经典同构和基于综合征的量子极解码器。
Arikan’s polar codes are capable of approaching Shannon’s capacity at a low encoding and decoding complexity, while conveniently supporting rate adaptation. By virtue of these attractive features, polar codes have found their way into the 5G New Radio (NR). Hence, in this paper we provide a comprehensive survey of polar codes, highlighting the major milestones achieved in the last decade. Furthermore, we also provide tutorial insights into the operation of the polar encoder, decoders as well as their code construction methods. We also extend our discussions to quantum polar codes with an emphasis on the underlying quantum-to-classical isomorphism and the syndrome-based quantum polar decoders.