Rotation Based Slice Error Correction Protocol for Continuous-variable Quantum Key Distribution and its Implementation with Polar Codes

• URL: http://arxiv.org/abs/2106.06206v2
• Date: Wed, 16 Jun 2021 12:54:40 GMT
• Title: Rotation Based Slice Error Correction Protocol for Continuous-variable Quantum Key Distribution and its Implementation with Polar Codes
• Authors: Xuan Wen, Qiong Li, Haokun Mao, Xiaojun Wen, Nan Chen
• Abstract summary: Reconciliation is an essential procedure for continuous-variable quantum key distribution (CV-QKD) In this paper, an improved SEC protocol, named Rotation-based SEC (RSEC), is proposed through performing a random rotation on the raw data before quantization. In terms of finite-size effects, we achieve a secret key rate of $7.83times10-3$ bits/pulse at a distance of 33.93 km.
• Score: 3.2505671255960324
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Reconciliation is an essential procedure for continuous-variable quantum key distribution (CV-QKD). As the most commonly used reconciliation protocol in short-distance CV-QKD, the slice error correction (SEC) allows a system to distill more than 1 bit from each pulse. However, its quantization efficiency is greatly affected by the noisy channel with a low signal-to-noise ratio (SNR), which usually limits the secure distance to about 30 km. In this paper, an improved SEC protocol, named Rotation-based SEC (RSEC), is proposed through performing a random orthogonal rotation on the raw data before quantization, and deducing a new estimator for quantized sequences. Moreover, the RSEC protocol is implemented with polar codes. Experimental results show that the proposed protocol can reach up to a quantization efficiency of about 99\%, and maintains at around 96\% even at the relatively low SNRs $(0.5,1)$, which theoretically extends the secure distance to about 45 km. When implemented with the polar codes with block length of 16 Mb, the RSEC can achieve a reconciliation efficiency of above 95\%, which outperforms all previous SEC schemes. In terms of finite-size effects, we achieve a secret key rate of $7.83\times10^{-3}$ bits/pulse at a distance of 33.93 km (the corresponding SNR value is 1). These results indicate that the proposed protocol significantly improves the performance of SEC and is a competitive reconciliation scheme for the CV-QKD system.

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