Optimizing Fictitious States for Bell Inequality Violation in Bipartite Qubit Systems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909220019896320 |
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| author | Cheng, Kun Han, Tao Low, Matthew |
| author_facet | Cheng, Kun Han, Tao Low, Matthew |
| contents | There is a significant interest in testing quantum entanglement and Bell inequality violation in high-energy experiments. Since the analyses in high-energy experiments are performed with events statistically averaged over phase space, the states used to determine observables depend on the choice of coordinates through an event-dependent basis and are thus not genuine quantum states, but rather "fictitious states." We prove that if Bell inequality violation is observed with a fictitious state, then it implies the same for a quantum sub-state. We further show analytically that the basis which diagonalizes the spin-spin correlations is optimal for constructing fictitious states, and for maximizing the violation of Bell's inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_09166 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Optimizing Fictitious States for Bell Inequality Violation in Bipartite Qubit Systems Cheng, Kun Han, Tao Low, Matthew High Energy Physics - Phenomenology Quantum Physics There is a significant interest in testing quantum entanglement and Bell inequality violation in high-energy experiments. Since the analyses in high-energy experiments are performed with events statistically averaged over phase space, the states used to determine observables depend on the choice of coordinates through an event-dependent basis and are thus not genuine quantum states, but rather "fictitious states." We prove that if Bell inequality violation is observed with a fictitious state, then it implies the same for a quantum sub-state. We further show analytically that the basis which diagonalizes the spin-spin correlations is optimal for constructing fictitious states, and for maximizing the violation of Bell's inequality. |
| title | Optimizing Fictitious States for Bell Inequality Violation in Bipartite Qubit Systems |
| topic | High Energy Physics - Phenomenology Quantum Physics |
| url | https://arxiv.org/abs/2311.09166 |