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Testing Bell inequalities and probing quantum entanglement at a muon collider
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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.
Forward citations
Cited by 5 Pith papers
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Qubit-qubit-qutrit quantum correlations in $H \to f \bar f V$
In h→τ^-τ^+ Z decays, the spin state is genuinely qubit-qubit-qutrit entangled almost everywhere, violates Bell inequalities throughout, and carries up to 1.95 bits of non-local magic.
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High Energy Photon Polarimetry at Lepton Colliders: Quantum Information from Converted Photons
Converted photons in Belle II enable high-significance measurements of Bell nonlocality, discord, concurrence, magic and steerability for macroscopically separated GeV diphotons, provided opening-angle resolution reac...
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Hadron Structure from the Hierarchy of Quantum Correlations in Deep-Inelastic Scattering
Quantum-information measures of the DIS final electron-quark state are shown to be sensitive to transversity PDFs and can discriminate between different tensor-charge extractions.
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Quantum Tomography and Entanglement in Semi-Leptonic $h\to VV^*$ Decays at Higher Orders
Semi-leptonic h→VV* decays retain an effective two-qutrit quantum description under NLO QCD and electroweak corrections, unlike the fully leptonic h→4ℓ channel.
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Colliders are Testing neither Locality via Bell's Inequality nor Entanglement versus Non-Entanglement
Collider measurements of final-state momenta alone cannot certify Bell nonlocality or entanglement, because the measured angular distribution is itself a local hidden variable model.
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