  This paper is about quantum heat defined as the change in energy of a bath
during a process. The presentation takes into account recent developments in
classical strong-coupling thermodynamics, and addresses a version of quantum
heat which satisfies quantum-classical correspondence. The characteristic
function and the full counting statistics of quantum heat are shown to be
formally similar. The paper further shows that the method can be extended to
more than one bath, e.g. two baths at different temperatures, which opens up
the prospect of studying correlations and heat flow. The paper extends earlier
results on the expected quantum heat in the setting of one bath (Aurell \&
Eichhorn 2015, Aurell 2017).
