Jia Zhao-Ying, Gu Jie, Li Bing-Hong, Yin Hua-Lei, Chen Zeng-Bing
National Laboratory of Solid State Microstructures, School of Physics and Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China.
Entropy (Basel). 2021 Jun 4;23(6):716. doi: 10.3390/e23060716.
As an essential application of quantum mechanics in classical cryptography, quantum secret sharing has become an indispensable component of quantum internet. Recently, a differential phase shift quantum secret sharing protocol using a twin field has been proposed to break the linear rate-distance boundary. However, this original protocol has a poor performance over channels with asymmetric transmittances. To make it more practical, we present a differential phase shift quantum secret sharing protocol with asymmetric source intensities and give the security proof of our protocol against individual attacks. Taking finite-key effects into account, our asymmetric protocol can theoretically obtain the key rate two orders of magnitude higher than that of the original protocol when the difference in length between Alice's channel and Bob's is fixed at 14 km. Moreover, our protocol can provide a high key rate even when the difference is quite large and has great robustness against finite-key effects. Therefore, our work is meaningful for the real-life applications of quantum secret sharing.
作为量子力学在经典密码学中的一项重要应用，量子秘密共享已成为量子互联网不可或缺的组成部分。最近，一种使用双场的差分相移量子秘密共享协议被提出来打破线性速率 - 距离界限。然而，这个原始协议在具有不对称透射率的信道上性能较差。为了使其更具实用性，我们提出了一种具有不对称源强度的差分相移量子秘密共享协议，并给出了我们协议针对个体攻击的安全性证明。考虑有限密钥效应，当爱丽丝信道和鲍勃信道之间的长度差固定为14公里时，我们的不对称协议理论上可以获得比原始协议高两个数量级的密钥率。此外，即使长度差相当大，我们的协议也能提供高密钥率，并且对有限密钥效应具有很强的鲁棒性。因此，我们的工作对于量子秘密共享的实际应用具有重要意义。
