Recent studies have made significant progress in the mathematical treatment of nematic liquid crystals using variational methods. For example, a 2024 study provides a homotopy classification of ...

The method they developed, outlined in a paper published in Physical Review Letters, was trained to find the lowest-energy quantum state (i.e., ground state) of fractional quantum Hall liquids.

For the past six years, Los Alamos National Laboratory has led the world in trying to understand one of the most frustrating barriers that faces variational quantum computing: the barren plateau.