中国物理B ›› 2019, Vol. 28 ›› Issue (1): 10305-010305.doi: 10.1088/1674-1056/28/1/010305

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Finite-size analysis of continuous-variable quantum key distribution with entanglement in the middle

Ying Guo(郭迎), Yu Su(苏玉), Jian Zhou(周健), Ling Zhang(张玲), Duan Huang(黄端)   

  1. 1 School of Physics and Information Science, Hunan Normal University, Changsha 410006, China;
    2 School of Automation, Central South University, Changsha 410083, China
  • 收稿日期:2018-06-26 修回日期:2018-10-26 出版日期:2019-01-05 发布日期:2019-01-05
  • 通讯作者: Duan Huang E-mail:duanhuang@csu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 61572529, 61871407, and 61801522) and the China Postdoctoral Science Foundation (Grant Nos. 2013M542119 and 2014T70772).

Finite-size analysis of continuous-variable quantum key distribution with entanglement in the middle

Ying Guo(郭迎)1,2, Yu Su(苏玉)2, Jian Zhou(周健)2, Ling Zhang(张玲)2, Duan Huang(黄端)2   

  1. 1 School of Physics and Information Science, Hunan Normal University, Changsha 410006, China;
    2 School of Automation, Central South University, Changsha 410083, China
  • Received:2018-06-26 Revised:2018-10-26 Online:2019-01-05 Published:2019-01-05
  • Contact: Duan Huang E-mail:duanhuang@csu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 61572529, 61871407, and 61801522) and the China Postdoctoral Science Foundation (Grant Nos. 2013M542119 and 2014T70772).

摘要:

Continuous-variable quantum key distribution (CVQKD) protocols with entanglement in the middle (EM) enable long maximal transmission distances for quantum communications. For the security analysis of the protocols, it is usually assumed that Eve performs collective Gaussian attacks and there is a lack of finite-size analysis of the protocols. However, in this paper we consider the finite-size regime of the EM-based CVQKD protocols by exposing the protocol to collective attacks and coherent attacks. We differentiate between the collective attacks and the coherent attacks while comparing asymptotic key rate and the key rate in the finite-size scenarios. Moreover, both symmetric and asymmetric configurations are collated in a contrastive analysis. As expected, the derived results in the finite-size scenarios are less useful than those acquired in the asymptotic regime. Nevertheless, we find that CVQKD with entanglement in the middle is capable of providing fully secure secret keys taking the finite-size effects into account with transmission distances of more than 30 km.

关键词: continuous-variable quantum key distribution, entanglement in the middle, finite-size, coherent attack

Abstract:

Continuous-variable quantum key distribution (CVQKD) protocols with entanglement in the middle (EM) enable long maximal transmission distances for quantum communications. For the security analysis of the protocols, it is usually assumed that Eve performs collective Gaussian attacks and there is a lack of finite-size analysis of the protocols. However, in this paper we consider the finite-size regime of the EM-based CVQKD protocols by exposing the protocol to collective attacks and coherent attacks. We differentiate between the collective attacks and the coherent attacks while comparing asymptotic key rate and the key rate in the finite-size scenarios. Moreover, both symmetric and asymmetric configurations are collated in a contrastive analysis. As expected, the derived results in the finite-size scenarios are less useful than those acquired in the asymptotic regime. Nevertheless, we find that CVQKD with entanglement in the middle is capable of providing fully secure secret keys taking the finite-size effects into account with transmission distances of more than 30 km.

Key words: continuous-variable quantum key distribution, entanglement in the middle, finite-size, coherent attack

中图分类号:  (Quantum cryptography and communication security)

  • 03.67.Dd
03.67.Hk (Quantum communication) 42.50.Ex (Optical implementations of quantum information processing and transfer)