Non-stabilizerness and violations of CHSH inequalities
Fuente:
arXiv
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| Autores principales: | , , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916673995407360 |
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| author | Cusumano, Stefano Venuti, Lorenzo Campos Cepollaro, Simone Esposito, Gianluca Iannotti, Daniele Jasser, Barbara c, Jovan Odavi\' Viscardi, Michele Hamma, Alioscia |
| author_facet | Cusumano, Stefano Venuti, Lorenzo Campos Cepollaro, Simone Esposito, Gianluca Iannotti, Daniele Jasser, Barbara c, Jovan Odavi\' Viscardi, Michele Hamma, Alioscia |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03351 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-stabilizerness and violations of CHSH inequalities Cusumano, Stefano Venuti, Lorenzo Campos Cepollaro, Simone Esposito, Gianluca Iannotti, Daniele Jasser, Barbara c, Jovan Odavi\' Viscardi, Michele Hamma, Alioscia Quantum Physics 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. |
| title | Non-stabilizerness and violations of CHSH inequalities |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.03351 |