Conclusions and where do we stand
Lots of interesting research directions.
- Have time-dependent codes for two and up to six electrons with FCI
- Beyond that time-dependent Coupled-cluster theory
- Matrix elements (TDHF) for one, two and three dimensions for different geometries.
- Studies of the time-evolution of entangled states (now two electrons only)
- Use theory to find optimal experimental setup
- Expect two-electron system realized experimentally in two years
- Successfully applied various quantum algorithms to many-body systems
- Quantum machine learning, just started