Preparation contextuality as an essential feature underlying quantum communication advantage
Debashis Saha , Anubhav Chaturvedi
AbstractThe study of ontology (hidden variables) provides for a vital ground on which significant nonclassical featuresof quantum theory are revealed. One such nonclassical ontic feature is preparation contextuality (PC) andadvantage in oblivious communication tasks is one of its operational signatures. This article primarily pursuesthe ontic feature underlying quantum advantage in communication complexity (CC). We construct obliviouscommunication tasks tailored to given CC problems. We upper bound the classical success probability of theseoblivious communication tasks, obtaining preparation noncontextual inequalities. We use the very states andmeasurements responsible for advantage in CC problems along with the orthogonal mixtures of these states toorchestrate an advantageous protocol for the associated oblivious communication tasks and the violation of theassociated inequalities, thereby unveiling PC. To showcase the vitality of our results, we find a criterion forunbounded violation of these inequalities and demonstrate the same for two widely studied CC problems.
|Journal series||Physical Review A, ISSN 2469-9926, e-ISSN 2469-9934, (N/A 100 pkt)|
|Publication size in sheets||0.6|
|Score||= 100.0, 29-01-2020, ArticleFromJournal|
|Publication indicators||: 2017 = 0.886; : 2018 = 2.907 (2) - 2018=2.723 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.