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arXiv 2103.13945quant-ph
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任意调制下连续变量量子密钥分发的显式渐近密钥速率

Explicit asymptotic secret key rate of continuous-variable quantum key distribution with an arbitrary modulation

Aurélie Denys, Peter Brown, Anthony Leverrier

摘要:

建立了任意调制相干态的连续变量量子密钥分发的渐近密钥速率的解析下界。以前,这样的界限仅适用于高斯调制的协议,并且在简单的相移键控调制的情况下存在数值界限。后者的边界是作为凸优化问题的解获得的,我们的新分析边界与Ghorai等人的结果相匹配。(2019),达到数值精度。正交幅度调制(QAM)的更相关的情况下,不能与以前的技术进行分析,由于其大量的相干态。我们的界限表明,相对较小的星座大小,比如64个状态,基本上足以获得接近真正的高斯调制的性能,因此是连续变量量子密钥分发的大规模部署的一个有吸引力的解决方案。当调制由任意状态组成时,我们也得到了类似的界限,不一定是纯的。

英文摘要:

We establish an analytical lower bound on the asymptotic secret key rate of continuous-variable quantum key distribution with an arbitrary modulation of coherent states. Previously, such bounds were only available for protocols with a Gaussian modulation, and numerical bounds existed in the case of simple phase-shift-keying modulations. The latter bounds were obtained as a solution of convex optimization problems and our new analytical bound matches the results of Ghorai et al. (2019), up to numerical precision. The more relevant case of quadrature amplitude modulation (QAM) could not be analyzed with the previous techniques, due to their large number of coherent states. Our bound shows that relatively small constellation sizes, with say 64 states, are essentially sufficient to obtain a performance close to a true Gaussian modulation and are therefore an attractive solution for large-scale deployment of continuous-variable quantum key distribution. We also derive similar bounds when the modulation consists of arbitrary states, not necessarily pure.

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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