Study of quantum non-locality by CHSH function and its extension in disordered fermions
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913532794109952 |
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| author | Kuno, Yoshihito |
| author_facet | Kuno, Yoshihito |
| contents | Quantum non-locality is an important concept in quantum physics. In this work, we study the quantum non-locality in a fermion many-body system under quasi-periodic disorders. The Clauser-Horne-Shimony-Holt (CHSH) inequality is systematically investigated, which quantifies quantum non-locality between two sites. We find that the quantum non-locality explicitly characterize the extended and critical phase transitions, and further that in the globally averaged picture of maximum value of the quantum non-locality the CHSH inequality is not broken, but for a local pair in the internal of the system the violation probability of the CHSH inequality becomes sufficiently finite. Further we investigate an extension of the CHSH inequality, Mermin-Klyshko-Svetlichny (MKS) polynomials, which can characterize multipartite quantum non-locality. We also find a similar behavior to the case of CHSH inequality. In particular, in the critical regime and on a transition point, the adjacent three qubit MKS polynomial in a portion of the system exhibits a quantum non-local violation regime with a finite probability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17513 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Study of quantum non-locality by CHSH function and its extension in disordered fermions Kuno, Yoshihito Disordered Systems and Neural Networks Statistical Mechanics Quantum Physics Quantum non-locality is an important concept in quantum physics. In this work, we study the quantum non-locality in a fermion many-body system under quasi-periodic disorders. The Clauser-Horne-Shimony-Holt (CHSH) inequality is systematically investigated, which quantifies quantum non-locality between two sites. We find that the quantum non-locality explicitly characterize the extended and critical phase transitions, and further that in the globally averaged picture of maximum value of the quantum non-locality the CHSH inequality is not broken, but for a local pair in the internal of the system the violation probability of the CHSH inequality becomes sufficiently finite. Further we investigate an extension of the CHSH inequality, Mermin-Klyshko-Svetlichny (MKS) polynomials, which can characterize multipartite quantum non-locality. We also find a similar behavior to the case of CHSH inequality. In particular, in the critical regime and on a transition point, the adjacent three qubit MKS polynomial in a portion of the system exhibits a quantum non-local violation regime with a finite probability. |
| title | Study of quantum non-locality by CHSH function and its extension in disordered fermions |
| topic | Disordered Systems and Neural Networks Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2402.17513 |