论文标题

在3和4尺寸的半量子密钥分布方案中相互无偏的基础

Mutually Unbiased Bases In 3 and 4 Dimensions Semi-quantum Key Distribution Protocol

论文作者

Hajji, Hasnaa, Baz, Morad El

论文摘要

半量子密钥分布在传统上是基于两级量子系统。在本文中,提出了基于高维系统的半量子密钥分布协议的无条件安全性,并提出了各种相互无偏基的底座。我们首先使用三个和四个相互无偏基的底座考虑三维情况,并根据量子通道噪声的函数得出关键率的下限。然后,我们将结果推广到半量子密钥分布方案,该协议采用不同数量的四维状态的相互偏见的基础。已经发现,基于高维互无偏基的半量子密钥分布方案可以增加噪声的可忍受阈值和秘密密钥速率的最大可实现值。

Semi-quantum key distribution is traditionally based on two-level quantum systems. In this paper, an unconditional security of a semi quantum key distribution protocol based on higher-dimensional systems using various mutually unbiased bases is presented. We first consider the three dimensional case using three and four mutually unbiased bases and derive a lower bound for the key rate as a function of the quantum channel's noise. We then generalize the result to a semi-quantum key distribution protocol that employs different number of mutually unbiased bases for four-dimensional states. It is found that basing the semi-quantum key distribution protocol on higher-dimensional mutually unbiased bases can increase the tolerable threshold of the noise and the maximum achievable value of the secret key rate.

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