We show that positivity of the imaginary part of forward elastic amplitudes for perturbative scattering is equivalent to consistency of the entanglement generated by the S-matrix, for states with arbitrary internal quantum numbers such as flavor. We also analyze "disentanglers," certain highly entangled initial states for which the action of the S-matrix is to decrease subsystem entanglement.
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Aoude et al. (2024) studied this question.
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