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This arXiv preprint extends quantum steering certification to multipartite networks, where the final trusted party can treat their measurement hardware as a black box, and it adds Gaussian-operation protocols for continuous-variable systems. The work is theoretical and foundational, with its main practical relevance to certified randomness generation and other minimal-trust quantum protocols. Readers should note that the claims apply to idealized assumptions, and the experimental feasibility is still an open question.
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Quantum steering in networks: Measurement-device-independent detection, continuous variables, and practical Gaussian schemes

arXiv2 min read

arXiv:2606.25690v2 Announce Type: replace Abstract: We consider quantum steering certification in multipartite networks, with a focus on minimal trust scenarios: all-except-one parties are untrusted and treated device-independently. We show that it is always possible to lift steering certification to the measurement-device-independent regime, in which even the (last) trusted party can treat their local hardware as a black-box, except for a set of fiduciary quantum states used as the inputs to the experiment. This holds both for finite-dimensional systems as well as for bosonic continuous-variable systems, which we characterize in terms of semi-quantum games in the bipartite case. Additionally, we introduce measurement-device-independent network steering protocols based entirely on Gaussian operations -- which cannot be used for fully device-independent protocols, and thus become instead a viable option for minimal trust certification as soon as a single trusted input is inserted in the network. Our results present a basis for steering-based applications (such as randomness generation) with minimal trust beyond full nonlocality and with feasible experimental requirements.

Abstract:We consider quantum steering certification in multipartite networks, with a focus on minimal trust scenarios: all-except-one parties are untrusted and treated device-independently. We show that it is always possible to lift steering certification to the measurement-device-independent regime, in which even the (last) trusted party can treat their local hardware as a black-box, except for a set of fiduciary quantum states used as the inputs to the experiment. This holds both for finite-dimensional systems as well as for bosonic continuous-variable systems, which we characterize in terms of semi-quantum games in the bipartite case. Additionally, we introduce measurement-device-independent network steering protocols based entirely on Gaussian operations -- which cannot be used for fully device-independent protocols, and thus become instead a viable option for minimal trust certification as soon as a single trusted input is inserted in the network. Our results present a basis for steering-based applications (such as randomness generation) with minimal trust beyond full nonlocality and with feasible experimental requirements.

12+10 pages, 3 figures. Corrected equations and typos in the previous version

arXiv:2606.25690 [quant-ph]

(or arXiv:2606.25690v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2606.25690 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 260 words

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