Finite-key analysis for quantum key distribution with discrete phase randomization

• URL: http://arxiv.org/abs/2201.03039v1
• Date: Sun, 9 Jan 2022 15:45:44 GMT
• Title: Finite-key analysis for quantum key distribution with discrete phase randomization
• Authors: Rui Qiang Wang, Zhen Qiang yin, Rong Wang, Shuang Wang and Wei Chen, Guang can Guo and Zhen fu Han
• Abstract summary: We develop a technique based on conjugate measurement and quantum state distinguishment to ana-lyze the security. Our result shows that TF-QKD with reasonable number of discrete random phases, e.g. 8 phases from 0, pi/4, pi/2,..., 7pi/4, can achieve satisfactory performance.
• Score: 21.561489948824274
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Quantum key distribution(QKD) allows two remote parties to share information-theoretic secret keys. Many QKD protocols assume the phase of encoding state can be continuous randomized from 0 to 2 pi, which, however, may be questionable in experiment. This is particularly the case in the recently proposed twin-field(TF) QKD, which has received a lot of attention, since it can increase key rate significantly and even beat some theoretical rate-loss limits. As an intuitive solution, one may introduce discrete phase-randomization instead of continuous one. However, a security proof for a QKD protocol with discrete phase-randomization in finite-key region is still missing. Here we develop a technique based on conjugate measurement and quantum state distinguishment to ana-lyze the security in this case. Our result shows that TF-QKD with reasonable number of discrete random phases, e.g. 8 phases from {0, pi/4, pi/2, ..., 7pi/4}, can achieve satisfactory performance. More importantly, as a the first proof for TF-QKD with discrete phase-randomization in finite-key region, our method is also applicable in other QKD protocols.

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