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The study of ontology (hidden variables) provides for a vital ground on whichsignificant non-classical features of quantum theory are revealed. One suchnon-classical ontic-feature is preparation contextuality (PC) and advantage inoblivious communication tasks is one of its operational signatures. Thisarticle primarily pursues the ontic-feature underlying quantum advantage incommunication complexity (CC). We construct oblivious communication taskstailored to given CC problems. We upper-bound the classical success probabilityof these oblivious communication tasks, obtaining preparation non-contextualinequalities. We use the very states and measurements responsible for advantagein CC problems along with the orthogonal mixtures of these states toorchestrate an advantageous protocol for the associated oblivious communicationtasks and the violation of the associated inequalities, thereby unveiling PC.To showcase the vitality of our results, we find a criterion for unboundedviolation of these inequalities and demonstrate the same for two widely studiedCC problems.

Preparation contextuality as an essential feature underlying quantum communication advantage