Studies of the Fermi-Hubbard Model Using Quantum Computing

Understand

The use of quantum computers to calculate the ground state (lowest) energies of a spin lattice of electrons described by the Fermi-Hubbard model of great importance in condensed matter physics has been studied.

• The ability of quantum bits (qubits) to be in a superposition state allows quantum computers to perform certain calculations that are not possible with even the most powerful classical (digital) computers.
• This work has established a method for calculating the ground state energies of small lattices which should be scalable to larger lattices that cannot be calculated by classical computers.
• Half-filled lattices of sizes 1x4, 2x2, 2x4, and 3x4 were studied.