Why? Basic motivation

Overarching view: dimension reduction

How can we avoid the dimensionality curse? Many possibilities

  1. smarter basis functions
  2. resummation of specific correlations
  3. stochastic sampling of high-lying states (stochastic FCI, CC and SRG/IMSRG)
  4. many more

Machine Learning and Quantum Computing hold also great promise in tackling the ever increasing dimensionalities. A hot new field is Quantum Machine Learning, see for example the recent textbook by Maria Schuld and Francesco Petruccione. Here we will focus on Machine Learning.