Testing Bell inequalities and probing quantum entanglement at a muon collider

Fuente: arXiv
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Auteurs principaux: Ruzi, Alim, Wu, Youpeng, Ding, Ran, Qian, Sitian, Levin, Andrew Micheal, Li, Qiang
Format: Preprint
Publié: 2024
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author Ruzi, Alim
Wu, Youpeng
Ding, Ran
Qian, Sitian
Levin, Andrew Micheal
Li, Qiang
author_facet Ruzi, Alim
Wu, Youpeng
Ding, Ran
Qian, Sitian
Levin, Andrew Micheal
Li, Qiang
contents A muon collider represents a promising candidate for the next generation of particle physics experiments after the expected end of LHC operations in the early 2040s. Rare or hard-to-detect processes at the LHC, such as the production of multiple gauge bosons, become accessible at a TeV muon collider. We present here the prospects of detecting quantum entanglement and the violation of Bell inequalities in H to ZZ to 4l events at a potential future muon collider. We show that the spin density matrix of the Z boson pairs can be reconstructed using the kinematics of the charged leptons from the Z boson decays. Once the density matrix is determined, it is straightforward to obtain the expectation values of various Bell operators and test the quantum entanglement between the Z boson pair. Through a detailed study based on Monte-Carlo simulation, we show that the generalized CGLMP inequality can be maximally violated, and testing Bell inequalities could be established with high significance.
format Preprint
id arxiv_https___arxiv_org_abs_2408_05429
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Testing Bell inequalities and probing quantum entanglement at a muon collider
Ruzi, Alim
Wu, Youpeng
Ding, Ran
Qian, Sitian
Levin, Andrew Micheal
Li, Qiang
High Energy Physics - Phenomenology
High Energy Physics - Experiment
Quantum Physics
A muon collider represents a promising candidate for the next generation of particle physics experiments after the expected end of LHC operations in the early 2040s. Rare or hard-to-detect processes at the LHC, such as the production of multiple gauge bosons, become accessible at a TeV muon collider. We present here the prospects of detecting quantum entanglement and the violation of Bell inequalities in H to ZZ to 4l events at a potential future muon collider. We show that the spin density matrix of the Z boson pairs can be reconstructed using the kinematics of the charged leptons from the Z boson decays. Once the density matrix is determined, it is straightforward to obtain the expectation values of various Bell operators and test the quantum entanglement between the Z boson pair. Through a detailed study based on Monte-Carlo simulation, we show that the generalized CGLMP inequality can be maximally violated, and testing Bell inequalities could be established with high significance.
title Testing Bell inequalities and probing quantum entanglement at a muon collider
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
Quantum Physics
url https://arxiv.org/abs/2408.05429