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PreprintCC BY 4.0arXiv

The Prepare and Broadcast Scenario

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.

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BibTeX
@misc{sarubi2026prepare,
  title = {{The Prepare and Broadcast Scenario}},
  author = {Tailan S. Sarubi and Moisés Alves and Santiago Zamora and Vinícius F. Alves and A. de Oliveira Junior and Rafael Chaves},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.28632},
  eprint = {2606.28632},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.28632},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The Prepare and Broadcast Scenario
AU  - Tailan S. Sarubi
AU  - Moisés Alves
AU  - Santiago Zamora
AU  - Vinícius F. Alves
AU  - A. de Oliveira Junior
AU  - Rafael Chaves
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2606.28632
UR  - https://arxiv.org/abs/2606.28632
AB  - 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.
ER  -