The Road From Classical to Quantum Codes: A Hashing Bound Approaching Design Procedure
Powerful quantum error correction codes (QECCs) are required for stabilizing and protecting fragile qubits against the undesirable effects of quantum decoherence. Similar to classical codes, hashing bound approaching QECCs may be designed by exploiting a concatenated code structure, which invokes it...
Main Authors: | , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
IEEE
2015-01-01
|
Series: | IEEE Access |
Subjects: | |
Online Access: | https://ieeexplore.ieee.org/document/7052310/ |
id |
doaj-cba15eca37e14e4cab1a95d2731f2cfc |
---|---|
record_format |
Article |
spelling |
doaj-cba15eca37e14e4cab1a95d2731f2cfc2021-03-29T19:32:43ZengIEEEIEEE Access2169-35362015-01-01314617610.1109/ACCESS.2015.24055337052310The Road From Classical to Quantum Codes: A Hashing Bound Approaching Design ProcedureZunaira Babar0Panagiotis Botsinis1Dimitrios Alanis2Soon Xin Ng3Lajos Hanzo4School of Electronics and Computer Science, University of Southampton, Southampton, U.K.School of Electronics and Computer Science, University of Southampton, Southampton, U.K.School of Electronics and Computer Science, University of Southampton, Southampton, U.K.School of Electronics and Computer Science, University of Southampton, Southampton, U.K.School of Electronics and Computer Science, University of Southampton, Southampton, U.K.Powerful quantum error correction codes (QECCs) are required for stabilizing and protecting fragile qubits against the undesirable effects of quantum decoherence. Similar to classical codes, hashing bound approaching QECCs may be designed by exploiting a concatenated code structure, which invokes iterative decoding. Therefore, in this paper, we provide an extensive step-by-step tutorial for designing extrinsic information transfer (EXIT) chart-aided concatenated quantum codes based on the underlying quantum-to-classical isomorphism. These design lessons are then exemplified in the context of our proposed quantum irregular convolutional code (QIRCC), which constitutes the outer component of a concatenated quantum code. The proposed QIRCC can be dynamically adapted to match any given inner code using EXIT charts, hence achieving a performance close to the hashing bound. It is demonstrated that our QIRCC-based optimized design is capable of operating within 0.4 dB of the noise limit.https://ieeexplore.ieee.org/document/7052310/Quantum Error Correction,Turbo CodesEXIT ChartsHashing Bound |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Zunaira Babar Panagiotis Botsinis Dimitrios Alanis Soon Xin Ng Lajos Hanzo |
spellingShingle |
Zunaira Babar Panagiotis Botsinis Dimitrios Alanis Soon Xin Ng Lajos Hanzo The Road From Classical to Quantum Codes: A Hashing Bound Approaching Design Procedure IEEE Access Quantum Error Correction, Turbo Codes EXIT Charts Hashing Bound |
author_facet |
Zunaira Babar Panagiotis Botsinis Dimitrios Alanis Soon Xin Ng Lajos Hanzo |
author_sort |
Zunaira Babar |
title |
The Road From Classical to Quantum Codes: A Hashing Bound Approaching Design Procedure |
title_short |
The Road From Classical to Quantum Codes: A Hashing Bound Approaching Design Procedure |
title_full |
The Road From Classical to Quantum Codes: A Hashing Bound Approaching Design Procedure |
title_fullStr |
The Road From Classical to Quantum Codes: A Hashing Bound Approaching Design Procedure |
title_full_unstemmed |
The Road From Classical to Quantum Codes: A Hashing Bound Approaching Design Procedure |
title_sort |
road from classical to quantum codes: a hashing bound approaching design procedure |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2015-01-01 |
description |
Powerful quantum error correction codes (QECCs) are required for stabilizing and protecting fragile qubits against the undesirable effects of quantum decoherence. Similar to classical codes, hashing bound approaching QECCs may be designed by exploiting a concatenated code structure, which invokes iterative decoding. Therefore, in this paper, we provide an extensive step-by-step tutorial for designing extrinsic information transfer (EXIT) chart-aided concatenated quantum codes based on the underlying quantum-to-classical isomorphism. These design lessons are then exemplified in the context of our proposed quantum irregular convolutional code (QIRCC), which constitutes the outer component of a concatenated quantum code. The proposed QIRCC can be dynamically adapted to match any given inner code using EXIT charts, hence achieving a performance close to the hashing bound. It is demonstrated that our QIRCC-based optimized design is capable of operating within 0.4 dB of the noise limit. |
topic |
Quantum Error Correction, Turbo Codes EXIT Charts Hashing Bound |
url |
https://ieeexplore.ieee.org/document/7052310/ |
work_keys_str_mv |
AT zunairababar theroadfromclassicaltoquantumcodesahashingboundapproachingdesignprocedure AT panagiotisbotsinis theroadfromclassicaltoquantumcodesahashingboundapproachingdesignprocedure AT dimitriosalanis theroadfromclassicaltoquantumcodesahashingboundapproachingdesignprocedure AT soonxinng theroadfromclassicaltoquantumcodesahashingboundapproachingdesignprocedure AT lajoshanzo theroadfromclassicaltoquantumcodesahashingboundapproachingdesignprocedure AT zunairababar roadfromclassicaltoquantumcodesahashingboundapproachingdesignprocedure AT panagiotisbotsinis roadfromclassicaltoquantumcodesahashingboundapproachingdesignprocedure AT dimitriosalanis roadfromclassicaltoquantumcodesahashingboundapproachingdesignprocedure AT soonxinng roadfromclassicaltoquantumcodesahashingboundapproachingdesignprocedure AT lajoshanzo roadfromclassicaltoquantumcodesahashingboundapproachingdesignprocedure |
_version_ |
1724196086006939648 |