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aiqbench takeQuantum Computing

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This research introduces the dimension-restricted prepare and broadcast (PAB) scenario, extending standard quantum frameworks to study correlations between multiple receivers after a broadcasting transformation. By deriving new Bell-like inequalities and certification methods, the study demonstrates that this setup can activate nonclassicality in resources previously described by classical models. The work advances foundational quantum information theory by providing rigorous tools for distinguishing classical from genuinely quantum behaviors in multi-party communication networks.
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The Prepare and Broadcast Scenario

arXiv2 min read

arXiv:2606.28632v2 Announce Type: replace Abstract: We introduce the dimension-restricted prepare and broadcast (PAB) scenario, which generalizes standard prepare-and-measure frameworks. Here, the system prepared by a sender undergoes a broadcasting transformation before being locally measured by multiple receivers. We develop a hierarchy of classical, quantum, and nonsignalling models describing this scenario, characterize their corresponding correlation sets, and derive new families of Bell-like inequalities together with linear and semidefinite programming methods for their certification. First, assuming shared randomness, we prove that the hierarchy collapses into a single set whenever we consider only one measurement per party. Then, considering multiple possible measurements, we show that PAB scenarios allow the activation of nonclassicality, revealing genuinely nonclassical features in resources that admit classical descriptions in standard prepare-and-measure or Bell settings.

Abstract:We introduce the dimension-restricted prepare and broadcast (PAB) scenario, which generalizes standard prepare-and-measure frameworks. Here, the system prepared by a sender undergoes a broadcasting transformation before being locally measured by multiple receivers. We develop a hierarchy of classical, quantum, and nonsignalling models describing this scenario, characterize their corresponding correlation sets, and derive new families of Bell-like inequalities together with linear and semidefinite programming methods for their certification. First, assuming shared randomness, we prove that the hierarchy collapses into a single set whenever we consider only one measurement per party. Then, considering multiple possible measurements, we show that PAB scenarios allow the activation of nonclassicality, revealing genuinely nonclassical features in resources that admit classical descriptions in standard prepare-and-measure or Bell settings.

arXiv:2606.28632 [quant-ph]

(or arXiv:2606.28632v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2606.28632 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 209 words

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