Quantifying fault tolerant simulation of strongly correlated systems using the Fermi-Hubbard model

Understand

Understanding the physics of strongly correlated materials is one of the grand challenge problems for physics today.

• A large class of scientifically interesting materials, from high-$T_c$ superconductors to spin liquids, involve medium to strong correlations, and building a holistic understanding of these materials is critical.
• Doing so is hindered by the competition between the kinetic energy and Coulomb repulsion, which renders both analytic and numerical methods unsatisfactory for describing interacting materials.
• Fault-tolerant quantum computers have been proposed as a path forward to overcome these difficulties, but this potential capability has not yet been fully assessed.