Quantum advantage with noisy shallow circuits in 3D

  title={Quantum advantage with noisy shallow circuits in 3D},
  author={S. Bravyi and D. Gosset and R. Koenig and M. Tomamichel},
  • S. Bravyi, D. Gosset, +1 author M. Tomamichel
  • Published 2019
  • Physics
  • Prior work has shown that there exists a relation problem which can be solved with certainty by a constant-depth quantum circuit composed of geometrically local gates in two dimensions, but cannot be solved with high probability by any classical constant depth circuit composed of bounded fan-in gates. Here we provide two extensions of this result. Firstly, we show that a separation in computational power persists even when the constant-depth quantum circuit is restricted to geometrically local… CONTINUE READING
    Quantum Advantage with Noisy Shallow Circuits in 3D