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Decay of entangled fermion pairs with post-selection
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abstract
We consider a pair of unstable fermions in a spin-entangled state. After the decay of one fermion, a spin measurement is performed on the surviving partner, with a Stern-Gerlach experiment or similar. The measurement not only projects the spin of the surviving fermion, but is also physically equivalent to a spin projection for the decayed one -- even when it no longer exists. This post-selection effect would be experimentally accessible using muon pairs in a maximally-entangled state, produced either in the decay of a scalar particle, or in $e^+ e^-$ collisions at wide angles.
Forward citations
Cited by 3 Pith papers
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Quantum detection of CP violation in the $t\bar{t}$ system: production
CP-odd SMEFT top interactions appear as ΔB and antisymmetric C_A in the tt̄ production density matrix; direct markers beat most QI measures for CP sensitivity at LHC and FCC-ee.
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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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