Determining Strong Contextuality on rank-one Projectors

Jiawei Nie; Yongjun Wang; Songyi Liu

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arXiv · 2504.16541

Determining Strong Contextuality on rank-one Projectors

Jiawei Nie·Yongjun Wang·Songyi Liu

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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.

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Jiawei Nie, Yongjun Wang, Songyi Liu. 2025-04-23. Determining Strong Contextuality on rank-one Projectors. https://arxiv.org/abs/2504.16541

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