Contextuality of all optimal quantum cloning
Abstract
Quantum contextuality is a key nonclassical feature underlying advantages in quantum computation and communication. We introduce a new method to study contextuality in quantum information-processing tasks and protocols, relying solely on observed information-processing statistics. Building on the framework of Shahandeh, Yianni and Doosti in arXiv:2512.10000 and employing rank separation techniques, we prove that contextuality is the necessary resource in both phase-covariant and universal optimal quantum cloning, thereby establishing its role as a fundamental source of nonclassicality in all known optimal cloning scenarios and resolving an open problem on the connection between cloning and contextuality. As a second application, we demonstrate the power of our method by providing a new, streamlined proof of contextuality in minimum-error quantum state discrimination.
Cite
@article{arxiv.2406.19382,
title = {Contextuality of all optimal quantum cloning},
author = {Mina Doosti and Theodoros Yianni and Farid Shahandeh},
journal= {arXiv preprint arXiv:2406.19382},
year = {2026}
}
Comments
6 pages, comments are encouraged