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Can Bell inequalities be tested via scattering cross-section at colliders ?
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In current studies for testing Bell inequalities at colliders, the reconstruction of spin correlations from scattering cross-sections relies on the bilinear form of the spin correlations, but not all local hidden variable models (LHVMs) have such a property. To demonstrate that a general LHVM cannot be rule out via scattering cross-section data, we propose a specific LHVM, which can exactly duplicate the same scattering cross-section for particle production and decay as the standard quantum theory, making it indistinguishable at colliders in principle. Despite of this, we find that reconstructing spin correlations through scattering cross-sections can still exclude a broad class of LHVMs, e.g., those models employing classical spin correlations as a surrogate for quantum spin correlations.
Forward citations
Cited by 6 Pith papers
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Excluding Local Hidden Variables in $\Lambda\bar{\Lambda}$ Production: The Incompatibility with Angular-Momentum Conservation and CPT Invariance
Scalar h→ΛarΛ decay is incompatible with any angular-momentum-conserving LHVT, while pseudoscalar a→ΛarΛ can be mimicked by an LHVT only if CPT symmetry is relaxed.
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Bypassing Spin-Analyzing Power Dependence for Quantum Entanglement at Colliders: A Case Study of $\Lambda\bar{\Lambda}$
An entanglement witness for J/ψ→ΛΛ̄ built from angular-correlation ratios can certify entanglement without the parity-violating decay parameters, while angle-only ratio tests are shown to fail.
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Entanglement redistribution of hyperon-antihyperon pair via sequential decay
In e+e−→ψ→Ξ(→Λπ)Ξ̄(→Λ̄π), the ΛΛ̄ pair's concurrence and negativity can decrease relative to the mother pair yet stay nonzero except at θ=0 and π, while quantum discord can always increase.
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Manipulating Bell nonlocality and entanglement in polarized electron-positron annihilation
Polarized lepton beams can tune hyperon-antihyperon entanglement and Bell nonlocality, with transverse polarization capable of producing maximally entangled pairs.
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Gedanken Experiments of Entanglement in Particle Physics: Interactions, Operators and Bell Inequalities in Flavor Space
Mass-identification, kaon-decay, and weak-mixing observables can be cast as spin-like operators whose correlations violate a Bell-type bound (0.44+0.90=1.34>1) in an idealized Gedanken framework.
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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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