Device-independent quantum key distribution based on Bell inequalities with more than two inputs and two outputs

Abstract

Device-independent quantum key distribution (DI-QKD) offers the strongest form of security against eavesdroppers bounded by the laws of quantum mechanics. However, a practical implementation is still pending due to the requirement of combinations of visibility and detection efficiency that are beyond those possible with current technology. This mismatch motivates the search for DI-QKD protocols that can close the gap between theoretical and practical security. In this work, we present two DI-QKD protocols whose security relies on Bell inequalities with more than two inputs and two outputs. We show that, for maximally entangled states and perfect visibility, a protocol based on a Bell inequality with three inputs and four outputs requires a slightly lower detection efficiency than the protocols based on Bell inequalities with two inputs and two outputs.

8 pages, 4 figures

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• Multipartite Intrinsic Non-Locality and Device-Independent Conference Key Agreement
• Multipartite quantum cryptography based on the violation of Svetlichny's inequality
• Upper bounds on key rates in device-independent quantum key distribution based on convex-combination attacks
• Generalized $n$-locality inequalities in linear-chain network for arbitrary inputs scenario and their quantum violations
• Optimal quantum violations of n-locality inequalities with conditional dependence on inputs
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• Quantum Key Distribution with Imperfections: Recent Advances in Security Proofs
• Impact of imperfect measurements on multi-party quantum key distribution
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