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 can activate nonclassicality of noisy broadcasting resources and can reveal preparation nonclassicality more robustly than large finite families of standard prepare and measure tests.

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• Quantum communication
• Quantum foundations