Bell nonlocality is not sufficient for the security of standard device-independent quantum key distribution protocols

• URL: http://arxiv.org/abs/2103.02639v2
• Date: Mon, 2 Aug 2021 17:33:58 GMT
• Title: Bell nonlocality is not sufficient for the security of standard device-independent quantum key distribution protocols
• Authors: M\'at\'e Farkas, Maria Balanz\'o-Juand\'o, Karol {\L}ukanowski, Jan Ko{\l}ody\'nski, Antonio Ac\'in
• Abstract summary: Device-independent quantum key distribution is a secure quantum cryptographic paradigm that allows two honest users to establish a secret key. We show that no protocol of this form allows for establishing a secret key when implemented on any correlation obtained by measuring local projective measurements.
• Score: 1.9573380763700712
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Device-independent quantum key distribution is a secure quantum cryptographic paradigm that allows two honest users to establish a secret key, while putting minimal trust in their devices. Most of the existing protocols have the following structure: first, a bipartite nonlocal quantum state is distributed between the honest users, who perform local measurements to establish nonlocal correlations. Then, they announce the implemented measurements and extract a secure key by post-processing their measurement outcomes. We show that no protocol of this form allows for establishing a secret key when implemented on any correlation obtained by measuring local projective measurements on certain entangled nonlocal states, namely on a range of entangled two-qubit Werner states. To prove this result, we introduce a technique for upper-bounding the asymptotic key rate of device-independent quantum key distribution protocols, based on a simple eavesdropping attack. Our results imply that either different reconciliation techniques are needed for device-independent quantum key distribution in the large-noise regime, or Bell nonlocality is not sufficient for this task.

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