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Genera­tive QML

In genera­tive quantum machine learning (GQML), a model is trained on given data points to appro­xi­mate an unknown proba­bi­lity distri­bu­tion from which reali­stic new samples can be genera­ted. The model consists of a parame­ter­i­zed quantum circuit. Recent work demons­tra­tes that certain GQML models could achieve a quantum advan­tage: sampling requi­res a quantum compu­ter, while training can be perfor­med entirely on classi­cal compu­ters using specia­li­zed simula­tion techni­ques. The under­ly­ing asymme­try arises because training only requi­res local expec­ta­tion values of the quantum circuits, whereas sampling demands the complete inter­fe­rence struc­ture of the output distribution.

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