I will present a new formalism to investigate stochastic thermodynamics
in the quantum regime, where stochasticity primarily comes from quantum
measurement. In the absence of any bath, a purely quantum component to
heat exchange is defined, that corresponds to energy fluctuations
induced by measurement back-action. Energetic signatures of measurement
induced irreversibility are identified in canonical experiments of
quantum optics, and the energetic cost of counter-acting decoherence is
investigated on a simple state-stabilizing protocol. By placing quantum
measurement in a central position, this framework contributes to bridge
a gap between experimental quantum optics and quantum thermodynamics."