Adiabatic quantum algorithm for artificial graphene

Understand

We devise a quantum-circuit algorithm to solve the ground state and ground energy of artificial graphene.

• The algorithm implements a Trotterized adiabatic evolution from a purely tight-binding Hamiltonian to one including kinetic, spin-orbit and Coulomb terms.
• The initial state is obtained efficiently using Gaussian-state preparation, while the readout of the ground energy is organized into seventeen sets of measurements, irrespective of the size of the problem.
• The total depth of the corresponding quantum circuit scales polynomially with the size of the system.