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arXiv 1709.00552quant-ph
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循环差分相移QKD的安全性证明

Security proof for Round Robin Differential Phase Shift QKD

Daan Leermakers, Boris Skoric

摘要:

给出了“循环差分相移”量子密钥分发方案的安全性证明,并给出了保密放大量的严格界。我们的证明包括以下步骤。我们构造了一个EPR的变种的计划。在Alice和Bob之间的误比特率不应超过β值的约束下,我们确定了Eve将辅助节点耦合到EPR量子对的最佳方式。作为β的函数,我们推导出,对于有限的密钥大小,真实状态和不存在泄漏的状态之间的迹距离。对于渐进密钥大小,我们通过计算冯诺伊曼熵获得轨迹距离的界。我们的渐近结果的隐私放大是尖锐的比现有的界限。

英文摘要:

We give a security proof of the `Round Robin Differential Phase Shift' Quantum Key Distribution scheme, and we give a tight bound on the required amount of privacy amplification. Our proof consists of the following steps. We construct an EPR variant of the scheme. We identify Eve's optimal way of coupling an ancilla to an EPR qudit pair under the constraint that the bit error rate between Alice and Bob should not exceed a value beta. As a function of beta we derive, for finite key size, the trace distance between the real state and a state in which no leakage exists. For asymptotic key size we obtain a bound on the trace distance by computing the von Neumann entropy. Our asymptotic result for the privacy amplification is sharper than existing bounds.

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