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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| Format: | Article |
| Language: | English |
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IEEE
2018-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8299427/ |
| _version_ | 1818332100716134400 |
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| author | Mohd Azri Mohd Izhar Zunaira Babar Hung Viet Nguyen Panagiotis Botsinis Dimitrios Alanis Daryus Chandra Soon Xin Ng Lajos Hanzo |
| author_facet | Mohd Azri Mohd Izhar Zunaira Babar Hung Viet Nguyen Panagiotis Botsinis Dimitrios Alanis Daryus Chandra Soon Xin Ng Lajos Hanzo |
| author_sort | Mohd Azri Mohd Izhar |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-13T13:30:23Z |
| format | Article |
| id | doaj.art-ff9b14bd17e54f07aae767fc12ffe421 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-13T13:30:23Z |
| publishDate | 2018-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-ff9b14bd17e54f07aae767fc12ffe4212022-12-21T23:44:12ZengIEEEIEEE Access2169-35362018-01-016123691238110.1109/ACCESS.2018.28083738299427Quantum Turbo Decoding for Quantum Channels Exhibiting MemoryMohd Azri Mohd Izhar0https://orcid.org/0000-0003-3761-0630Zunaira Babar1Hung Viet Nguyen2Panagiotis Botsinis3Dimitrios Alanis4https://orcid.org/0000-0002-6654-1702Daryus Chandra5https://orcid.org/0000-0003-2406-7229Soon Xin Ng6Lajos Hanzo7https://orcid.org/0000-0002-2636-5214Wireless Communication Center and Ubiquitous Broadband Access Network Group, UTM Razak School of Engineering and Advanced Technology, Universiti Teknologi Malaysia, Kuala Lumpur, MalaysiaSchool of Electronics and Computer Science, University of Southampton, Southampton, U.K.5G Innovation Centre, University of Surrey, Guildford, 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.School of Electronics and Computer Science, University of Southampton, Southampton, U.K.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.https://ieeexplore.ieee.org/document/8299427/Quantum channels with memoryquantum turbo codesiterative decodingquantum error-correction codesMarkovian correlated-noiseMarkov process |
| spellingShingle | Mohd Azri Mohd Izhar Zunaira Babar Hung Viet Nguyen Panagiotis Botsinis Dimitrios Alanis Daryus Chandra Soon Xin Ng Lajos Hanzo Quantum Turbo Decoding for Quantum Channels Exhibiting Memory IEEE Access Quantum channels with memory quantum turbo codes iterative decoding quantum error-correction codes Markovian correlated-noise Markov process |
| 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 | Quantum channels with memory quantum turbo codes iterative decoding quantum error-correction codes Markovian correlated-noise Markov process |
| url | https://ieeexplore.ieee.org/document/8299427/ |
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