  We demonstrate characterizing quantum evolutions via matrix factorization
algorithm, a particular type of the recommender system (RS). A system
undergoing a quantum evolution can be characterized in several ways. Here we
choose (i) quantum correlations quantified by measures such as entropy,
negativity, or discord, and (ii) state-fidelity. Using quantum registers with
up to 10 qubits, we demonstrate that an RS can efficiently characterize both
unitary and nonunitary evolutions. After carrying out a detailed performance
analysis of the RS in two qubits, we show that it can be used to distinguish a
clean database of quantum correlations from a noisy or a fake one. Moreover, we
find that the RS brings about a significant computational advantage for
building a large database of quantum discord, for which no simple closed-form
expression exists. Also, RS can efficiently characterize systems undergoing
nonunitary evolutions in terms of quantum discord reduction as well as
state-fidelity. Finally, we utilize RS for the construction of discord phase
space in a nonlinear quantum system.
