Computing the free energy of quantum Coulomb gases and molecules via quantum Gibbs sampling
The paper develops a quantum algorithm to estimate free energy and Gibbs states for interacting quantum Coulomb gases using molecular systems. It achieves this by approximating the complex full system with a simpler, finite-rank low-energy truncation. This allows for the construction of a quantum Gibbs sampling scheme that converges exponentially fast, providing rigorous mixing time guarantees and efficient estimation of free energy.