Quantum entanglement and bell violation in Higgs Boson decays
Quantum state tomography is used to reconstruct the bipartite spin density matrices of simulated diboson systems at energies achievable at the LHC. The Wigner-Weyl spin formalism is used to find the inverse mapping from the decay angular distributions to operators in the system’s Hilbert space for H...
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| Format: | Working paper |
| Language: | English |
| Published: |
2023
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| Summary: | Quantum state tomography is used to reconstruct the bipartite spin density matrices of simulated diboson systems at energies achievable at the LHC. The Wigner-Weyl spin formalism is used to find the inverse mapping from the decay angular distributions to operators in the system’s Hilbert space for H → WW, pp → WZ and H → ZZ. For the latter, a revised symmetric density matrix is proposed and tested. Measures of quantum entanglement and violation of Bell’s inequalities for these systems are calculated, predicting all three systems showing evidence of non-classical correlations and both systems resulting from Higgs boson decays predicting incompatibility with local-realist theories. A method is presented for optimising such Bell violation through unitary transforms and determining its statistical significance. Analysis shows the WW system is expected to violate Bell’s inequalities with certainty ~ 5.9𝜎, and similarly the ZZ system with ~ 1.0𝜎 at an integrated luminosity of 300 fb-1. |
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