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Spatially coupled LDPC-BCH codes in quantum secure direct communications |
| WANG Ping1, SUN Zhen1, YIN Liuguo2,3,4, LU Jianhua1,2 |
1. Department of Electronic Engineering, Tsinghua University, Beijing 100084, China;
2. School of Information Science and Technology, Tsinghua University, Beijing 100084, China;
3. Beijing National Research Center for Information Science and Technology, Beijing, 100084, China;
4. Key Laboratory of EDA, Research Institute of Tsinghua University in Shenzhen, Shenzhen, 518057, China |
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Abstract Quantum secure direct communication systems are limited by high erasure probabilities and low receiving probabilities due to the high light source losses in the optical elements and optical fibers. A channel mitigation method based on spatially coupled LDPC-BCH codes is presented here to ensure reliable information transformations in quantum secure direct communication systems to resolve the problems of low-rate and Shannon limit-approaching code designs. Spatially coupled LDPC-BCH codes are constructed by coupling multiple identical block LDPC-BCH codes with edge spreading. The extrinsic information transfer functions of the spatially coupled LDPC-BCH code are analyzed to derive the decoding thresholds for the code ensembles. Simulations show that the spatially coupled LDPC-BCH codes have decoding thresholds closer to the Shannon limit with lower bit error rates than block LDPC-BCH codes. The spatially coupled LDPC-BCH code channel mitigation scheme has a transmitting efficiency of 0.001 and a bit error rate less than 10-6 when the channel receiving probability is set at 0.4%.
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| Keywords
quantum secure direct communication
channel coding
spatially coupling
iterative decoding
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Issue Date: 27 August 2019
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2019,
Vol. 59
