Finite-size analysis of prepare-and-measure and decoy-state QKD via entropy accumulation

التفاصيل البيبلوغرافية
العنوان: Finite-size analysis of prepare-and-measure and decoy-state QKD via entropy accumulation
المؤلفون: Kamin, Lars, Arqand, Amir, George, Ian, Lütkenhaus, Norbert, Tan, Ernest Y. -Z.
سنة النشر: 2024
المجموعة: Quantum Physics
مصطلحات موضوعية: Quantum Physics
الوصف: An important goal in quantum key distribution (QKD) is the task of providing a finite-size security proof without the assumption of collective attacks. For prepare-and-measure QKD, one approach for obtaining such proofs is the generalized entropy accumulation theorem (GEAT), but thus far it has only been applied to study a small selection of protocols. In this work, we present techniques for applying the GEAT in finite-size analysis of generic prepare-and-measure protocols, with a focus on decoy-state protocols. In particular, we present an improved approach for computing entropy bounds for decoy-state protocols, which has the dual benefits of providing tighter bounds than previous approaches (even asymptotically) and being compatible with methods for computing min-tradeoff functions in the GEAT. Furthermore, we develop methods to incorporate some improvements to the finite-size terms in the GEAT, and implement techniques to automatically optimize the min-tradeoff function. Our approach also addresses some numerical stability challenges specific to prepare-and-measure protocols, which were not addressed in previous works.
Comment: Added two appendices and fixed typos. The code used to prepare the results in this paper will be available at https://openqkdsecurity.wordpress.com/repositories-for-publications/
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.10198
رقم الأكسشن: edsarx.2406.10198
قاعدة البيانات: arXiv