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arXiv 1202.3822quant-ph
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无信令量子密钥分发:线性规划求解

No-signaling Quantum Key Distribution: Solution by Linear Programming

Won-Young Hwang, Joonwoo Bae, Nathan Killoran

摘要:

我们概述了一个简单的方法,只使用无信令约束和线性规划来获得密钥速率。假设一个单独的攻击,我们考虑所有可能的联合概率。最初,我们只研究夏娃有二进制结果的情况下,我们施加限制,由于无信号的原则和给定的测量结果。在剩余的联合概率空间内,通过线性规划,我们得到了Eve正确猜测Bob比特的概率的界。然后,我们利用一个不等式,将这个猜测概率与鲍勃和一个更一般的夏娃之间的互信息联系起来,夏娃不是二进制限制的。把我们计算的边界与Csiszár-Körner公式放在一起,我们得到了一个正的密钥生成率。该速率的最佳值与已知结果一致,但以更直接的方式计算,提供了推广到不同场景的可能性。

英文摘要:

We outline a straightforward approach for obtaining a secret key rate using only no-signaling constraints and linear programming. Assuming an individual attack, we consider all possible joint probabilities. Initially, we study only the case where Eve has binary outcomes, and we impose constraints due to the no-signaling principle and given measurement outcomes. Within the remaining space of joint probabilities, by using linear programming, we get bound on the probability of Eve correctly guessing Bob's bit. We then make use of an inequality that relates this guessing probability to the mutual information between Bob and a more general Eve, who is not binary-restricted. Putting our computed bound together with the Csiszár-Körner formula, we obtain a positive key generation rate. The optimal value of this rate agrees with known results, but was calculated in a more straightforward way, offering the potential of generalization to different scenarios.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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