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Polar codes and their quantum-domain counterparts

Polar codes and their quantum-domain counterparts
Polar codes and their quantum-domain counterparts
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.
1553-877X
123-155
Babar, Zunaira
23ede793-1796-449d-b5aa-93a297e5677a
Kaykac Egilmez, Zeynep Burcin
071b0c1a-a884-45fc-8dc4-e706c9972a69
Xiang, Luping
ee0a15fb-5774-4004-b236-e301d323d786
Chandra, Daryus
d629163f-25d0-42fd-a912-b35cd93e8334
Maunder, Robert
76099323-7d58-4732-a98f-22a662ccba6c
Ng, Soon
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Babar, Zunaira
23ede793-1796-449d-b5aa-93a297e5677a
Kaykac Egilmez, Zeynep Burcin
071b0c1a-a884-45fc-8dc4-e706c9972a69
Xiang, Luping
ee0a15fb-5774-4004-b236-e301d323d786
Chandra, Daryus
d629163f-25d0-42fd-a912-b35cd93e8334
Maunder, Robert
76099323-7d58-4732-a98f-22a662ccba6c
Ng, Soon
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1

Babar, Zunaira, Kaykac Egilmez, Zeynep Burcin, Xiang, Luping, Chandra, Daryus, Maunder, Robert, Ng, Soon and Hanzo, Lajos (2019) Polar codes and their quantum-domain counterparts. IEEE Communications Surveys & Tutorials, 22 (1), 123-155. (doi:10.1109/COMST.2019.2937923).

Record type: Article

Abstract

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.

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Accepted/In Press date: 24 August 2019
e-pub ahead of print date: 27 August 2019
Published date: 27 August 2019

Identifiers

Local EPrints ID: 433584
URI: http://eprints.soton.ac.uk/id/eprint/433584
ISSN: 1553-877X
PURE UUID: 4b9a277e-758f-4318-8a03-7b5db31acc71
ORCID for Zunaira Babar: ORCID iD orcid.org/0000-0002-7498-4474
ORCID for Luping Xiang: ORCID iD orcid.org/0000-0003-1465-6708
ORCID for Daryus Chandra: ORCID iD orcid.org/0000-0003-2406-7229
ORCID for Robert Maunder: ORCID iD orcid.org/0000-0002-7944-2615
ORCID for Soon Ng: ORCID iD orcid.org/0000-0002-0930-7194
ORCID for Lajos Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

Catalogue record

Date deposited: 28 Aug 2019 16:30
Last modified: 18 Mar 2024 04:01

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Contributors

Author: Zunaira Babar ORCID iD
Author: Zeynep Burcin Kaykac Egilmez
Author: Luping Xiang ORCID iD
Author: Daryus Chandra ORCID iD
Author: Robert Maunder ORCID iD
Author: Soon Ng ORCID iD
Author: Lajos Hanzo ORCID iD

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