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arXiv:2402.00161

Device-Independent Quantum Key Distribution beyond qubits

Javier Rivera-Dean, Anna Steffinlongo, Neil Parker-Sánchez, Antonio Acín, Enky Oudot

Published Jan 31, 2024• 1 citation
arXivHTMLPDF

Abstract

Device-Independent Quantum Key Distribution (DIQKD) aims to generate secret keys between two parties without relying on trust in their employed devices, imposing strict noise constraints for key generation. This study explores the resilience of high-dimensional quantum systems in DIQKD, focusing on a comparison between qubits and qutrits. Lower bounds on achievable key rates are investigated through numerical optimization, while upper bounds are evaluated using the Convex-Combination attack, which has been further extended to account for arbitrary dimensions. The observed difference between these bounds provides insights into noise thresholds and potential enhancements in DIQKD scenarios, prompting debate on the merit of increased dimensions given the associated experimental efforts required.

DOI
10.48550/arxiv.2402.00161

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Abstract Device-independent quantum key distribution (DIQKD) aims to generate secret keys between two parties without relying on trust in their employed devices, imposing strict constraints on the experimental conditions needed for successful key generation. In this study, we derive bounds for noise and detection efficiency—two critical parameters for experimental implementations—beyond qubit-based protocols. Our results show that while lower bounds indicate no improvement in noise resilience with increased dimensionality, upper bounds reveal marginal, albeit insignificant, enhancements. Given the experimental challenges associated with the development of qudit-based systems, our findings prompts a debate on their practical utility for DIQKD.
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 postprocessing techniques for entangled two-qubit states.
Quantum key distribution (QKD) is a method to distribute secret key among sender and receiver by the transmission of quantum particles (e.g. photons). Device-independent quantum key distribution (DIQKD) is a version of quantum key distribution with a stronger security demand in that sender and receiver do not need to rely on the inner workings of their device, which consequently can come from an untrusted vendor. We study the rate at which DIQKD can be carried out for a given quantum channel connecting sender and receiver and provide a technique to upper bound the achievable rate. As a result, we show that the rate of device independent secure key can for some channels be much smaller (even arbitrarily so) than that of QKD. We do so, by first providing definition of device independent secure key rate, which is of independent interest. For bipartite states we formulate a sufficient condition for a gap between QKD and DIQKD key rates and examples of 8-qubit bipartite state exhibiting the gap between device dependent and device independent key.
Abstract Device-independent quantum key distribution (DIQKD) is the art of using untrusted devices to distribute secret keys in an insecure network. It thus represents the ultimate form of cryptography, offering not only information-theoretic security against channel attacks, but also against attacks exploiting implementation loopholes. In recent years, much progress has been made towards realising the first DIQKD experiments, but current proposals are just out of reach of today’s loophole-free Bell experiments. Here, we significantly narrow the gap between the theory and practice of DIQKD with a simple variant of the original protocol based on the celebrated Clauser-Horne-Shimony-Holt (CHSH) Bell inequality. By using two randomly chosen key generating bases instead of one, we show that our protocol significantly improves over the original DIQKD protocol, enabling positive keys in the high noise regime for the first time. We also compute the finite-key security of the protocol for general attacks, showing that approximately 10 8 –10 10 measurement rounds are needed to achieve positive rates using state-of-the-art experimental parameters. Our proposed DIQKD protocol thus represents a highly promising path towards the first realisation of DIQKD in practice.
Device-independent quantum key distribution (DIQKD) allows two distant parties to establish a secret key, based only on the observed Bell nonlocal distribution. It remains unclear, however, what the minimal resources for enabling DIQKD are and how to maximize the key rate from a given distribution. In the present Letter, we consider a scenario where several copies of a given quantum distribution are jointly processed via a local and classical wiring operation. We find that, under few assumptions, it is possible to activate device-independent key, that is, starting from a distribution that is useless in a DIQKD protocol, we obtain a positive asymptotic key rate by wiring several copies together. We coin this effect device-independent key activation. Our analysis focuses on the standard DIQKD protocol with one-way postprocessing, and we resort to semidefinite programming techniques for computing lower bounds on the key rate.