Alain Bruguieres, in his talk [1], announced his work [2] with Alexis
Virelizier and the second author which dealt with lifting closed structure on a
monoidal category to the category of Eilenberg-Moore algebras for an opmonoidal
monad. Our purpose here is to generalize that work to the context internal to
an autonomous monoidal bicategory. The result then applies to quantum
categories and bialgebroids.