The recent advances in quantum geometry provide language and tools particularly useful in Machine Learning and Quantum Computing. In this talk I will explain how the differential calculus on graphs via noncommutative geometry techniques can be fruitful for mathematical modeling of the mechanism of message passing in graph neural networks. Then I will introduce another key object in quantum group theory: the Drinfeld double and show how representations of the Drinfeld double are key for topological quantum computing and the Kitaev approach to fault tolerant quantum code.