  We expand the substantive terrain of QI's reach by illuminating a body of
political theory that to date has been elaborated in strictly classical
language and formalisms but has complex features that seem to merit
generalizations of the problem outside the confines of classicality. The line
of research, initiated by Fiorina in the 1980s, seeks to understand the origins
and nature of party governance in two-party political systems wherein voters
cast partisan ballots in two contests, one that determines partisan control of
the executive branch and another that determines party control of a
legislature. We describe how research in this area evolved in the last two
decades in directions that bring it now to the point where further elaboration
and study seem natural in the more general formalistic and philosophical
environments embraced in QI research. In the process, we find evidence that a
restriction of a classical model that has animated work in the field appears
violated in a form that leads one naturally to embrace the superposition
principle. We then connect classical distinctions between separable and
nonseparable preferences that are common in political science to their quantum
and quantum-like counterparts in the QI literature, finding special affinity
for a recently-introduced understanding of the distinction that provides a
passageway into the boundary between fully quantum and fully classical views of
the distinction and thereby provides new leverage on existing work germane to
the theory.
