Quantum turbo decoding for quantum channels exhibiting memory

Inspired by the success of classical turbo codes, quantum turbo codes (QTCs) have also been conceived for near-hashing-bound transmission of quantum information over memoryless quantum channels. However, in real physical situations, the memoryless channel assumption may not be well justified, since...

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Main Authors: Mohd Izhar, M. A., Babar, Z., Nguyen, H. V., Botsinis, P., Alanis, D., Chandra, D., Ng, S. X., Hanzo, L.
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers Inc. 2018
Subjects:
Online Access:http://eprints.utm.my/79802/1/MohdAzriMohdIzhar2018_QuantumTurboDecodingforQuantumChannels.pdf
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author Mohd Izhar, M. A.
Babar, Z.
Nguyen, H. V.
Botsinis, P.
Alanis, D.
Chandra, D.
Ng, S. X.
Hanzo, L.
author_facet Mohd Izhar, M. A.
Babar, Z.
Nguyen, H. V.
Botsinis, P.
Alanis, D.
Chandra, D.
Ng, S. X.
Hanzo, L.
author_sort Mohd Izhar, M. A.
collection ePrints
description Inspired by the success of classical turbo codes, quantum turbo codes (QTCs) have also been conceived for near-hashing-bound transmission of quantum information over memoryless quantum channels. However, in real physical situations, the memoryless channel assumption may not be well justified, since the channel often exhibits memory of previous error events. Here, we investigate the performance of QTCs over depolarizing channels exhibiting memory and we show that they suffer from a performance degradation at low depolarizing probability values. In order to circumvent the performance degradation issue, we conceive a new coding scheme termed quantum turbo coding scheme exploiting error-correlation (QTC-EEC) that is capable of utilizing the error-correlation while performing the iterative decoding at the receiver. The proposed QTC-EEC can achieve convergence threshold at a higher depolarizing probability for channels with a higher value of correlation parameter and achieve performance near to the capacity. Finally, we propose a joint decoding and estimation scheme for our QTC-EEC relying on the correlation estimation (QTC-EEC-E) designed for more realistic quantum systems with unknown correlation parameter. Simulation results reveal that the proposed QTC-EEC-E can achieve the same performance as that of the ideal system of known correlation parameter and hence demonstrate the accurate estimation of the proposed QTC-EEC-E.
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spelling utm.eprints-798022019-01-28T06:55:54Z http://eprints.utm.my/79802/ Quantum turbo decoding for quantum channels exhibiting memory Mohd Izhar, M. A. Babar, Z. Nguyen, H. V. Botsinis, P. Alanis, D. Chandra, D. Ng, S. X. Hanzo, L. T Technology (General) Inspired by the success of classical turbo codes, quantum turbo codes (QTCs) have also been conceived for near-hashing-bound transmission of quantum information over memoryless quantum channels. However, in real physical situations, the memoryless channel assumption may not be well justified, since the channel often exhibits memory of previous error events. Here, we investigate the performance of QTCs over depolarizing channels exhibiting memory and we show that they suffer from a performance degradation at low depolarizing probability values. In order to circumvent the performance degradation issue, we conceive a new coding scheme termed quantum turbo coding scheme exploiting error-correlation (QTC-EEC) that is capable of utilizing the error-correlation while performing the iterative decoding at the receiver. The proposed QTC-EEC can achieve convergence threshold at a higher depolarizing probability for channels with a higher value of correlation parameter and achieve performance near to the capacity. Finally, we propose a joint decoding and estimation scheme for our QTC-EEC relying on the correlation estimation (QTC-EEC-E) designed for more realistic quantum systems with unknown correlation parameter. Simulation results reveal that the proposed QTC-EEC-E can achieve the same performance as that of the ideal system of known correlation parameter and hence demonstrate the accurate estimation of the proposed QTC-EEC-E. Institute of Electrical and Electronics Engineers Inc. 2018-02 Article PeerReviewed application/pdf en http://eprints.utm.my/79802/1/MohdAzriMohdIzhar2018_QuantumTurboDecodingforQuantumChannels.pdf Mohd Izhar, M. A. and Babar, Z. and Nguyen, H. V. and Botsinis, P. and Alanis, D. and Chandra, D. and Ng, S. X. and Hanzo, L. (2018) Quantum turbo decoding for quantum channels exhibiting memory. IEEE Access, 6 . pp. 12369-12381. ISSN 2169-3536 http://dx.doi.org/10.1109/ACCESS.2018.2808373 DOI:10.1109/ACCESS.2018.2808373
spellingShingle T Technology (General)
Mohd Izhar, M. A.
Babar, Z.
Nguyen, H. V.
Botsinis, P.
Alanis, D.
Chandra, D.
Ng, S. X.
Hanzo, L.
Quantum turbo decoding for quantum channels exhibiting memory
title Quantum turbo decoding for quantum channels exhibiting memory
title_full Quantum turbo decoding for quantum channels exhibiting memory
title_fullStr Quantum turbo decoding for quantum channels exhibiting memory
title_full_unstemmed Quantum turbo decoding for quantum channels exhibiting memory
title_short Quantum turbo decoding for quantum channels exhibiting memory
title_sort quantum turbo decoding for quantum channels exhibiting memory
topic T Technology (General)
url http://eprints.utm.my/79802/1/MohdAzriMohdIzhar2018_QuantumTurboDecodingforQuantumChannels.pdf
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