# Noise-induced barren plateaus in variational quantum algorithms

@article{Wang2020NoiseinducedBP, title={Noise-induced barren plateaus in variational quantum algorithms}, author={Samson Wang and Enrico Fontana and Marco Cerezo and Kunal Sharma and Akira Sone and Lukasz Cincio and Patrick J. Coles}, journal={Nature Communications}, year={2020}, volume={12} }

Variational Quantum Algorithms (VQAs) may be a path to quantum advantage on Noisy Intermediate-Scale Quantum (NISQ) computers. A natural question is whether noise on NISQ devices places fundamental limitations on VQA performance. We rigorously prove a serious limitation for noisy VQAs, in that the noise causes the training landscape to have a barren plateau (i.e., vanishing gradient). Specifically, for the local Pauli noise considered, we prove that the gradient vanishes exponentially in the…

## 264 Citations

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