Testing Bell inequalities and probing quantum entanglement at CEPC
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929576105476096 |
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| author | Wu, Youpeng Jiang, Ruobing Ruzi, Alim Ban, Yong Li, Qiang |
| author_facet | Wu, Youpeng Jiang, Ruobing Ruzi, Alim Ban, Yong Li, Qiang |
| contents | We study quantum entanglement and test violation of Bell-type inequality at the Circular Electron Positron Collider (CEPC), which is one of the most attractive future colliders. It's a promising particle collider designed to search new physics, make Standard Model (SM) precision measurements, and serving as a Higgs factory. Our study is based on a fast simulation of the $Z$ boson pair production from Higgs boson decay at $\sqrt{s} = 250$ GeV. The detector effects are also included in the simulation. The spin density matrix of the joint $ZZ$ system is parametrized using irreducible tensor operators and reconstructed from the spherical coordinates of the decay leptons. To test Bell inequalities, we construct observable quantities for the $H \to ZZ*$ process in CEPC by using the (Collins-Gisin-Linden-Massar-Popescu) CGLMP inequality, whose value is determined from the density matrix of the Z boson pairs. The sensitivity of the Bell inequality violation is observed with more than 1$σ$ and the presence of the quantum entanglement is probed with more than 2$σ$ confidence level. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_17025 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Testing Bell inequalities and probing quantum entanglement at CEPC Wu, Youpeng Jiang, Ruobing Ruzi, Alim Ban, Yong Li, Qiang High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics We study quantum entanglement and test violation of Bell-type inequality at the Circular Electron Positron Collider (CEPC), which is one of the most attractive future colliders. It's a promising particle collider designed to search new physics, make Standard Model (SM) precision measurements, and serving as a Higgs factory. Our study is based on a fast simulation of the $Z$ boson pair production from Higgs boson decay at $\sqrt{s} = 250$ GeV. The detector effects are also included in the simulation. The spin density matrix of the joint $ZZ$ system is parametrized using irreducible tensor operators and reconstructed from the spherical coordinates of the decay leptons. To test Bell inequalities, we construct observable quantities for the $H \to ZZ*$ process in CEPC by using the (Collins-Gisin-Linden-Massar-Popescu) CGLMP inequality, whose value is determined from the density matrix of the Z boson pairs. The sensitivity of the Bell inequality violation is observed with more than 1$σ$ and the presence of the quantum entanglement is probed with more than 2$σ$ confidence level. |
| title | Testing Bell inequalities and probing quantum entanglement at CEPC |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2410.17025 |