Zigzag approach to higher key rate of sending-or-not-sending twin field quantum key distribution with finite key effects
arXiv:1908.05670 · doi:10.1088/1367-2630/ab81b7
Abstract
Odd-parity error rejection (OPER) can drastically improve the asymptotic key rate of sending-or-not-sending twin-field (SNS-TF) quantum key distribution (QKD). However, in practice, the finite key effects have to be considered for security. Here, we propose a zigzag approach to verify the phase-flip error of the survived bits after OPER. Based on this, we can take all the finite key effect efficiently in calculating the non-asymptotic key rate. Numerical simulation shows that our method here produces the highest key rate over all distances among all existing methods, improving the key rate by more than to in comparison with different prior art methods with typical experimental setting. Also, we show that with the method here, the SNS-TF QKD can by far break the the absolute bound of repeater-less key rate with whatever detection efficiency. We can even reach a non-asymptotic key rate more than times of the practical bound and times of the absolute bound with pulses. Besides, we apply the McDiarmid inequality to estimate the phase flip error rate, further improving the key rate by more than .
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