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Comprehensive high-speed reconciliation for continuous-variable quantum key distribution

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Abstract

Reconciliation is currently the bottleneck of continuous-variable quantum key distribution systems for its great influence on the key rate and the distance of systems. In this paper, we address the increase in key rates by accelerating the speed of reconciliation algorithms based on the protocol of sliced error correction on a heterogeneous computing structure (a GPGPU card (general purpose graphics processing units will be abbreviated as GPU in this paper) and a general CPU) in the framework of Open Computing Language (OpenCL) (OpenCL is a programming framework based on C language). A block length of its component codes of low-density parity-check (LDPC) codes up to 2\(^{17}\) bits is employed in order to achieve a higher reconciliation efficiency. To meet the requirements of the OpenCL specifications, we designed a data structure, namely static cross bi-directional circular linked list, to store a super large sparse check matrix of the LDPC codes. Such a configuration ensures the practicability of our system, i.e. a better trade-off between the speed and net key rates of the reconciliation. The speed of the proposed reconciliation scheme reaches about 70.1 Mb/s with 512 codewords decoding in parallel, approximately 3600 times faster than that with the platform with only a CPU.

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Notes

  1. Signal-to-Noise Ratio, defined as the ratio of Alice’s modulation variance to the noise variance.

  2. Here we use two levels, \(j=3,4\).

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Acknowledgements

The authors would like to thank the supporting of the Natural Science Foundation of Shanxi province in China (Grants No. 201801D121118) and helpful discussions and revisions by Dr. Jinze Wu.

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Authors and Affiliations

  1. College of Physics and Electronic Engineering, Shanxi University, Taiyuan, 030006, China

    Dabo Guo, Chao He, Tianhao Guo, Zhe Xue, Qiang Feng & Jianjian Mu

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  1. Dabo Guo
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  2. Chao He
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  3. Tianhao Guo
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Correspondence to Dabo Guo.

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Guo, D., He, C., Guo, T. et al. Comprehensive high-speed reconciliation for continuous-variable quantum key distribution. Quantum Inf Process 19, 320 (2020). https://doi.org/10.1007/s11128-020-02832-0

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