Non-stabilizerness and violations of CHSH inequalities

Abstract:We study quantitatively the interplay between entanglement and non-stabilizer resources in violating the CHSH inequalities. We show that, while non-stabilizer resources are necessary, they must have a specific structure, namely they need to be both asymmetric and (surprisingly) {\it local}. We employ stabilizer entropy (SE) to quantify the non-stabilizer resources involved and the probability of violation given the resources. We show how spectral quantities related to the flatness of entanglement spectrum and its relationship with non-local SE affect the CHSH inequality. Finally, we utilize these results - together with tools from representation theory - to construct a systematic way of building ensembles of states with higher probability of violation.

arXiv:2504.03351 [quant-ph]

(or arXiv:2504.03351v3 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2504.03351 Focus to learn more arXiv-issued DOI via DataCite

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