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The pair-production process for a black hole (BH) is discussed within theframework of a recently proposed semiclassical model of BH evaporation. Ouremphasis is on how the requirements of unitary evolution and strongsubadditivity act to constrain the state of the produced pairs and theirentanglement with the already emitted BH radiation. We find that the state ofthe produced pairs is indeed strongly constrained but that the semiclassicalmodel is consistent with all requirements. We are led to the following picture:Initially, the pairs are produced in a state of nearly maximal entanglementamongst the partners, with a parametrically small entanglement between eachpositive-energy partner and the outgoing radiation, similar to Hawking's model.But, as the BH evaporation progresses past the Page time, each positive-energypartner has a stronger entanglement with the outgoing radiation and,consequently, is less strongly entangled with its negative-energy partner. Wepresent some evidence that this pattern of entanglement does not requirenon-local interactions, only EPR-like non-local correlations.

Constraints on the quantum state of pairs produced by semiclassical black holes