Conclusions and where do we stand

Lots of interesting research directions.

  1. Have time-dependent codes for two and up to six electrons with FCI
  2. Beyond that time-dependent Coupled-cluster theory
  3. Matrix elements (TDHF) for one, two and three dimensions for different geometries.
  4. Studies of the time-evolution of entangled states (now two electrons only)
  5. Use theory to find optimal experimental setup
  6. Expect two-electron system realized experimentally in two years
  7. Successfully applied various quantum algorithms to many-body systems
  8. Quantum machine learning, just started