  We formulate the general approach based on the Lindblad equation to calculate
the full counting statistics of work and heat produced by driven quantum
systems weakly coupled with a Markovian thermal bath. The approach can be
applied to a wide class of dissipative quantum systems driven by an arbitrary
force protocol. We show the validity of general fluctuation relations and
consider several generic examples. The possibilities of using calorimetric
measurements to test the presence of coherence and entanglement in the open
quantum systems are discussed.
