- Open Access
Genuine Multipartite Entanglement is Not Necessary for Standard Device-Independent Conference Key Agreement
Phys. Rev. Lett. 135, 220803 – Published 26 November, 2025
DOI: https://doi.org/10.1103/v4s8-3zl5
Abstract
Conference key agreement aims to establish shared, private randomness among many separated parties in a network. Device-independent conference key agreement (DICKA) is a variant in which the source and the measurement devices used by each party need not be trusted. So far, DICKA protocols largely fall into two categories: those that rely on violating a joint Bell inequality using genuinely multipartite entangled states and those that concatenate many bipartite protocols. The question of whether a hybrid protocol exists, where a multipartite Bell inequality can be violated using only bipartite entanglement, was asked by Grasselli et al. [Quantum 7, 980 (2023)]. We answer this question affirmatively, by constructing an asymptotically secure DICKA protocol achieving the same rate as the concatenation of bipartite device-independent quantum key distribution, yet relying on a single joint Bell violation. Our results prompt further discussion on the benefits of multipartite entanglement for DICKA over its bipartite alternative, and we give an overview of different arguments for near-term devices.
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We use upper case for random variables and lower case for particular instances.
As is standard in cryptography, we use the following assumptions: 1. Each party works within an isolated laboratory within which they can control information flow to the outside world as well as to individual devices within their laboratory. 2. Each party has their own private random number generator. 3. The eavesdropper is limited by the laws of physics and is computationally unbounded. 4. The parties can communicate classically through authenticated public channels.
Each device only learns its own input and not whether it is a test or generation round. See Supplemental Material [30] for details.
For the purposes of this proof-of-principle demonstration, this threshold is set to the maximum Bell violation (cf. Proposition t2).
Additionally, all parties need to release a fraction of their generation data to perform an alignment test with Alice. If the fraction of matched outcomes is below a threshold, they will also abort.
In the event of maximum Bell violation, the key distillation process is trivial, since all raw key bits are secure.
Recall, given that the protocol did not abort, all parties agree on their classical variable .
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