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In Newtonian mechanics, any closed-system dynamics of a composite system in a microstate will leave all its individual subsystems in distinct microstates, however this fails dramatically in quantum mechanics due to the existence of quantum entanglement. Here we introduce the notion of a 'coherent work process', and show that it is the direct extension of a work process in classical mechanics into quantum theory. This leads to the notion of 'decomposable' and 'non-decomposable' quantum coherencedoi:10.22331/q-2019-11-11-202 fatcat:dx7ql67ggvd4dfh4rxnishjj4i