Training deep quantum neural networks

Neural networks enjoy widespread success in both research and industry and, with the advent of quantum technology, it is a crucial challenge to design quantum neural networks for fully quantum learning tasks. Here we propose a truly quantum analogue of classical neurons, which form quantum feedforward neural networks capable of universal quantum computation. We describe the efficient training of these networks using the fidelity as a cost function, providing both classical and efficient quantum implementations. Our method allows for fast optimisation with reduced memory requirements: the number of qudits required scales with only the width, allowing deep-network optimisation. We benchmark our proposal for the…

• DF
  Deutsche Forschungsgemeinschaft

  Awards: SFB 1227, SFB 1227 (DQ-mat, RTG 1991, EXC 2123
• AR
  Australian Research Council

  Awards: CE170100009, EQUS, CE170100009
• L
  Leibniz-Gemeinschaft