Determining Strong Contextuality on rank-one Projectors
Quantum Physics
2025-04-24 v1
Abstract
The strength of quantum contextuality is closely related to quantum computation power. Yu-Oh set is the minimal quantum system with state-independent contextuality(SIC). However, its strength of the contextuality has not been taken into account. In this paper, we present a general method to determine whether there is a quantum state with strong contextuality in the quantum system composed of rank-one projectors. Based on this method, we conclude that Yu-Oh set does not have quantum states with strong contextuality. This indicates that strong contextuality and SIC are mutually independent.
Keywords
Cite
@article{arxiv.2504.16541,
title = {Determining Strong Contextuality on rank-one Projectors},
author = {Jiawei Nie and Yongjun Wang and Songyi Liu},
journal= {arXiv preprint arXiv:2504.16541},
year = {2025}
}