Non-stabilizerness and violations of CHSH inequalities
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.
Authors
- Michele Viscardi (ORCID: https://orcid.org/0000-0002-1606-9622)
- Stefano Cusumano (ORCID: https://orcid.org/0000-0002-4379-3739)
- Alioscia Hamma (ORCID: https://orcid.org/0000-0003-0662-719X)
- Simone Cepollaro (ORCID: https://orcid.org/0009-0002-0309-3508)
- Daniele Iannotti (ORCID: https://orcid.org/0009-0009-0738-5998)
- Jovan Odavić (ORCID: https://orcid.org/0000-0003-2729-8284)
- Lorenzo Campos Venuti (ORCID: https://orcid.org/0000-0002-0217-6101)
- Gianluca Esposito (ORCID: https://orcid.org/0000-0002-4483-1995)
- Barbara Jasser (ORCID: https://orcid.org/0009-0004-5657-2806)
- Immacolata De Simone
Institutions
- University of Southern California (US)
- Istituto Nazionale di Fisica Nucleare, Sezione di Napoli (IT)
- Scuola Superiore Meridionale (IT)
- University of Naples Federico II (IT)
Publication Details
- Journal
- Quantum
- Published
- 2026-09-21
- DOI
- https://doi.org/10.22331/q-2026-09-21-2214
- Primary Topic
- Quantum Information and Cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00