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 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.

1. Master of Science thesis of Stian Bilek, Quantum Computing: Many-Body Methods and Machine Learning, August 2020
2. Master of Science thesis of Heine Åbø, Quantum Computing and Many-Particle Problems, June 2020
3. Marianne EtzelmuellerBathen's PhD, December 2020