Experimental Observation of Genuine Triplewise Monogamy of Contextuality Correlations

Contextuality is a pivotal nonclassical phenomenon that challenges traditional interpretations of nature based on noncontextual realistic theories and serves as a valuable resource for quantum information. In this Letter, we explore the relationship of jointly tested contextuality correlations within the Cabello-Severini-Winter framework, with a particular emphasis on the concept of genuine triplewise monogamy. We propose and experimentally test a novel scenario involving three jointly tested contextuality correlations constrained by a genuine triplewise monogamy relation. Remarkably, our experimental design reveals the existence of triplewise monogamy without explicitly implementing it. Furthermore, our experimental results demonstrate that any two of the three correlations can exhibit contextuality simultaneously, thereby confirming, for the first time, the genuine feature of the triplewise monogamy. This phenomenon constitutes a nontrivial extension of monogamy relations to multiple correlations. These findings deepen our theoretical understanding and enhance our experimental capabilities in probing the intricate interplay of contextuality correlations, paving the way for future advancements in quantum information science.