# Interactive quantum advantage with noisy, shallow Clifford circuits

@article{Grier2021InteractiveQA, title={Interactive quantum advantage with noisy, shallow Clifford circuits}, author={Daniel Grier and Nathan Ju and Luke Schaeffer}, journal={ArXiv}, year={2021}, volume={abs/2102.06833} }

Recent work by Bravyi et al. constructs a relation problem that a noisy constant-depth quantum circuit (QNC) can solve with near certainty (probability 1 − o(1)), but that any bounded fan-in constant-depth classical circuit (NC) fails with some constant probability. We show that this robustness to noise can be achieved in the other low-depth quantum/classical circuit separations in this area. In particular, we show a general strategy for adding noise tolerance to the interactive protocols of…

## One Citation

Quantum Advantage with Shallow Circuits under Arbitrary Corruption

- PhysicsISAAC
- 2021

It is shown that even in this model, quantum circuits can still solve in constant depth computational problems that require logarithmic depth to solve with bounded fan-in classical circuits, which gives another compelling evidence of the computational power of quantum shallow circuits.

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