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Autori principali: Bhattacharyya, Sawan, Chatterjee, Turbasu, Agrawal, Pankaj, Deb, Prasenjit
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2508.12938
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author Bhattacharyya, Sawan
Chatterjee, Turbasu
Agrawal, Pankaj
Deb, Prasenjit
author_facet Bhattacharyya, Sawan
Chatterjee, Turbasu
Agrawal, Pankaj
Deb, Prasenjit
contents Security analysis is a critical part in any cryptographic protocol, may it be classical or quantum. Without security analysis, one cannot ensure the secrecy of the distributed keys. To perform a conclusive security analysis, it is very often necessary to frame the problem as an optimization problem. However, solving such optimization problems is quite challenging. In this article, we focus on the security analysis of device-independent quantum key distribution (DIQKD) with random key basis protocol. We show that the optimization cost of the existing security analysis can be reduced without compromising the key rate. In particular, we reframe the entire security analysis of this protocol as a strongly convex optimization problem and demonstrate that unlike the original security proof, optimization of Bob's measurement angles for finding a lower bound on Eve's uncertainty about Alice's key generation basis can be done with lesser cost. We derive an explicit form of the pessimistic error that arises while optimizing the measurement angles of both the parties. We also clarify a few parts of the original security proof, making the analysis more rigorous and complete.
format Preprint
id arxiv_https___arxiv_org_abs_2508_12938
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Modified security analysis of device-independent quantum key distribution with random key basis
Bhattacharyya, Sawan
Chatterjee, Turbasu
Agrawal, Pankaj
Deb, Prasenjit
Quantum Physics
Mathematical Physics
Security analysis is a critical part in any cryptographic protocol, may it be classical or quantum. Without security analysis, one cannot ensure the secrecy of the distributed keys. To perform a conclusive security analysis, it is very often necessary to frame the problem as an optimization problem. However, solving such optimization problems is quite challenging. In this article, we focus on the security analysis of device-independent quantum key distribution (DIQKD) with random key basis protocol. We show that the optimization cost of the existing security analysis can be reduced without compromising the key rate. In particular, we reframe the entire security analysis of this protocol as a strongly convex optimization problem and demonstrate that unlike the original security proof, optimization of Bob's measurement angles for finding a lower bound on Eve's uncertainty about Alice's key generation basis can be done with lesser cost. We derive an explicit form of the pessimistic error that arises while optimizing the measurement angles of both the parties. We also clarify a few parts of the original security proof, making the analysis more rigorous and complete.
title Modified security analysis of device-independent quantum key distribution with random key basis
topic Quantum Physics
Mathematical Physics
url https://arxiv.org/abs/2508.12938