  Quantum thermodynamic process involves manipulating and controlling quantum
states to extract energy or perform computational tasks with high efficiency.
There is still no efficientgeneral method to theoretically quantify the effect
of the quantumness of coherence and entanglement in work extraction. In this
work, we propose a thermodynamics speed to quantify theextracting work. We show
that the coherence of quantum systems can speed up work extractingwith respect
to some cyclic evolution beyond all incoherent states. We further show the
genuine entanglement of quantum systems may speed up work extracting beyond any
bi-separablestates. This provides a new thermodynamic method to witness
entangled systems without statetomography.
