Device-independent secret key rates via a post-selected Bell inequality

• URL: http://arxiv.org/abs/2111.04482v1
• Date: Mon, 8 Nov 2021 13:17:24 GMT
• Title: Device-independent secret key rates via a post-selected Bell inequality
• Authors: Sarnava Datta, Hermann Kampermann, Dagmar Bru{\ss}
• Abstract summary: We introduce a DIQKD scenario in which an optimal Bell inequality is constructed from the performed measurement data. We provide an implementable DIQKD protocol and perform finite-size security key analysis for collective attacks.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In device-independent quantum key distribution (DIQKD) the security is not based on any assumptions about the intrinsic properties of the devices and the quantum signals, but on the violation of a Bell inequality. We introduce a DIQKD scenario in which an optimal Bell inequality is constructed from the performed measurement data, rather than fixing beforehand a specific Bell inequality. Our method can be employed in a general way, for any number of measurement settings and any number of outcomes. We provide an implementable DIQKD protocol and perform finite-size security key analysis for collective attacks. We compare our approach with related procedures in the literature and analyze the robustness of our protocol. We also study the performance of our method in several Bell scenarios as well as for random measurement settings.

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