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Entanglement increase from local interactions and not completely positive maps

Entanglement increase from local interactions and not completely positive maps

Simple examples are constructed that show the entanglement of two qubits being both increased and decreased by interactions on just one of them. One of the two qubits interacts with a third qubit, a control, that is never entangled or correlated with either of the two entangled qubits, and is …