Determining Strong Contextuality on rank-one Projectors

• URL: http://arxiv.org/abs/2504.16541v1
• Date: Wed, 23 Apr 2025 09:10:55 GMT
• Title: Determining Strong Contextuality on rank-one Projectors
• Authors: Jiawei Nie, Yongjun Wang, Songyi Liu,
• Abstract summary: Yu-Oh set is the minimal quantum system with state-independent contextuality.<n>We show that Yu-Oh set does not have quantum states with strong contextuality.
• Score: 1.9266988189076035
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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