Invitation Only
Talk 1:
The Ghost Gutzwiller Approximation and its connection to Dynamical Mean-Field Theory
Nicola Lanata, RIT
Talk 2:
Quantum Assisted Ghost Gutzwiller Ansatz
Fedor Šimkovic, IQM
The ghost Gutzwiller ansatz (gGut) embedding technique was shown to achieve comparable accuracy to the dynamical mean-field theory method for materials, but at much lower cost. Despite this, gGut is limited by the bottleneck of computing the density matrix of the embedding model, which must converge within a self-consistent loop. We develop a hybrid quantum-classical gGut technique that computes embedding-Hamiltonian ground states using the quantum-selected configuration interaction (QSCI) algorithm. We study SCI-based methods for density-of-states calculations in Anderson impurity models within gGut and find that the ground states become sparse in the CI basis as the number of ghost orbitals increases. We investigate QSCI with LUCJ states and circuit cutting on IQM quantum hardware for up to 11 ghost orbitals (24 qubits). We report converged gGut calculations that capture the metal-to-insulator transition in the Bethe-lattice Fermi-Hubbard model using quantum samples to build an SCI basis with as little as 1% of the CI basis.