Preparation contextuality as an essential feature underlying quantum communication advantage

Debashis Saha , Anubhav Chaturvedi


The 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.
Author Debashis Saha (FMPI / ITPA)
Debashis Saha ,,
- Institute of Theoretical Physics and Astrophysics
, Anubhav Chaturvedi (FMPI / ITPA)
Anubhav Chaturvedi,,
- Institute of Theoretical Physics and Astrophysics
Journal seriesPhysical Review A, ISSN 2469-9926, e-ISSN 2469-9934, (N/A 100 pkt)
Issue year2019
Publication size in sheets0.6
Article number022108
ASJC Classification3107 Atomic and Molecular Physics, and Optics
Languageen angielski
Score (nominal)100
Score sourcejournalList
ScoreMinisterial score = 100.0, 29-01-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2017 = 0.886; WoS Impact Factor: 2018 = 2.907 (2) - 2018=2.723 (5)
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