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An initialization strategy for addressing barren plateaus in parametrized quantum circuits

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Academic year: 2020

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Figure

Figure 1: The variance of the gradient of the energy with respect to the first parameter as a function of number of qubitsfor (a) input state√H⊗n |0⟩, and (b) input state consisting of amplitude encoded MNIST images
Figure 2 (a) shows the mean accuracy and standard deviation on a binarized MNIST dataset as a function of the trainingiterations for a circuit initialized using identity blocks compared with a strategy where all parameters are initially set tozero
Figure 3: Variance of the gradient of a VQE circuit at the start of training across 200 trials for (a) a circuit initializedusing two identity blocks, and (b) a random initialization
Figure 4: (a) Mean expected energy and standard deviation during training comparing a VQE initialized using identityblocks and a VQE initialized by setting all initial parameters to zero, and (b) variance of the gradient across trials as afunction of train

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