Non-stabilizerness and violations of CHSH inequalities

Quantum 2026 Open access

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Authors: Stefano Cusumano, Lorenzo Campos Venuti, Simone Cepollaro, Immacolata De Simone, Gianluca Esposito, Daniele Iannotti, Barbara Jasser, Jovan Odavić, Michele Viscardi, Alioscia Hamma
DOI: 10.22331/q-2026-09-21-2214
Cited by: 0
References: 84

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) 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.

Fields of Study & Subjects

Quantum Information and Cryptography Quantum Mechanics and Applications Statistical Mechanics and Entropy

Publication details

Journal / source
Quantum
Publisher
Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
Volume
10
Pages
2214–2214
Publication date
21 September 2026
Language
EN