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arXiv 1306.6061quant-ph
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抗光子数分裂攻击的无筛选量子密钥分发协议

Photon-Number-Splitting-attack resistant Quantum Key Distribution Protocols without sifting

Fabio Grazioso, Frédéric Grosshans

摘要:

我们提出了一个家庭的无筛选的量子密钥分配协议,使用反向和解,是基于弱相干脉冲(WCPs)沿m个不同方向偏振。当m=4时,协议的物理部分与BB84和SARG 04协议的大多数实验实现相同,它们仅在经典通信和数据处理方面有所不同。我们计算他们的总密钥速率作为信道传输T的函数,使用一般信息理论参数,我们表明,他们有一个更高的密钥速率比更标准的协议,无论是固定的和优化的平均光子数的WCP。当不应用诱饵状态协议(DSP)时,密钥速率随传输的缩放从BB84的T2提高到T^(1+1/(m-2))。<sup></sup>如果应用DSP,我们展示了密钥速率如何随T线性缩放,对于m=4,前因子提高了75.96%。$ m $的高值允许渐近地接近用理想单光子脉冲获得的密钥速率。这些无筛选协议的密钥速率高于上述更标准的协议的密钥速率,这表明后者不是最佳的,因为它们没有从实验相关性中提取所有可用的秘密密钥。

英文摘要:

We propose a family of sifting-less quantum-key-distribution protocols which use reverse-reconciliation, and are based on weak coherent pulses (WCPs) polarized along m different directions. When m=4, the physical part of the protocol is identical to most experimental implementations of BB84 and SARG04 protocols and they differ only in classical communications and data processing. We compute their total keyrate as function of the channel transmission T, using general information theoretical arguments and we show that they have a higher keyrate than the more standard protocols, both for fixed and optimized average photon number of the WCPs. When no decoy-state protocols (DSPs) are applied, the scaling of the keyrate with transmission is improved from T<sup>2</sup> for BB84 to T^(1+1/(m-2)). If a DSP is applied, we show how the keyrates scale linearly with T, with an improvement of the prefactor by 75.96 % for m=4. High values of $ m $ allow to asymptotically approach the keyrate obtained with ideal single photon pulses. The fact that the keyrates of these sifting-less protocols are higher compared to those of the aforementioned more standard protocols show that the latter are not optimal, since they do not extract all the available secret key from the experimental correlations.

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