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Quantum Turbo Decoding for Quantum Channels Exhibiting Memory

Izhar, M, Babar, Z, Nguyen, Viet Hung, Botsinis, P, Alanis, D, Chandra, D, Ng, S and Hanzo, L (2018) Quantum Turbo Decoding for Quantum Channels Exhibiting Memory IEEE Access, 6 (1). pp. 12369-12381.

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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 as 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 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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
Izhar, M
Babar, Z
Nguyen, Viet
Botsinis, P
Alanis, D
Chandra, D
Ng, S
Hanzo, L
Date : 21 February 2018
DOI : 10.1109/ACCESS.2018.2808373
Copyright Disclaimer : Copyright 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
Uncontrolled Keywords : Quantum channels with memory, quantum turbo codes, iterative decoding, quantum errorcorrection codes, Markovian correlated-noise, Markov process.
Depositing User : Melanie Hughes
Date Deposited : 09 Mar 2018 15:24
Last Modified : 16 Jan 2019 19:08

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