Upper bounds on device-independent quantum key distribution

Abstract

Quantum key distribution (QKD) is a method that distributes a secret key to a sender and a receiver by the transmission of quantum particles (e.g. photons). Device-independent quantum key distribution (DIQKD) is a version of QKD with a stronger notion of security, in that the sender and receiver base their protocol only on the statistics of input and outputs of their devices as inspired by Bell's theorem. We study the rate at which DIQKD can be carried out for a given bipartite quantum state distributed between the sender and receiver or a quantum channel connecting them. We provide upper bounds on the achievable rate going beyond upper bounds possible for QKD. In particular, we construct states and channels where the QKD rate is significant while the DIQKD rate is negligible. This gap is illustrated for a practical case arising when using standard post-processing techniques for entangled two-qubit states.

arXiv commentv3: published version v2: fixed mistake in the example, v1: 15 pages, 8 figures

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Cited by in corpus (12)

• Security of device-independent quantum key distribution protocols: a review
• Bell nonlocality is not sufficient for the security of standard device-independent quantum key distribution protocols
• Fundamental limitations on the device-independent quantum conference key agreement
• Upper bounds on device-independent quantum key distribution rates in static and dynamic scenarios
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• Upper bounds on key rates in device-independent quantum key distribution based on convex-combination attacks
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• An Operational Environment for Quantum Self-Testing
• Nonlocality of Quantum States can be Transitive
• Upper bounds on the leakage of private data and operational approach to markovianity
• Upper bounds on device-independent quantum key distribution rates and a revised Peres conjecture