117 citations · 756 across the 22 of their papers we have counts for
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quant-ph2022★ 6 cited
Positive-definite parametrization of mixed quantum states with deep neural networks
Filippo Vicentini, Riccardo Rossi, Giuseppe Carleo
We introduce the Gram-Hadamard Density Operator (GHDO), a new deep neural-network architecture that can encode positive semi-definite density operators of exponential rank with pol…
quant-ph2022★ 35 cited
From Tensor Network Quantum States to Tensorial Recurrent Neural Networks
Dian Wu, Riccardo Rossi, Filippo Vicentini +1
We show that any matrix product state (MPS) can be exactly represented by a recurrent neural network (RNN) with a linear memory update. We generalize this RNN architecture to 2D la…