Fast Gibbs state preparation in high temperatures - Part II

Abstract: The preparation of Gibbs or thermal states are an important step in quantum simulation. In this presentation, I review the recent result of Rouzé, Stilck França, and Alhambra who proved that the construction from Chen, Kastoryano, and Gilyén thermalizes to the Gibbs state in polynomial time on the system size at high enough temperatures for any Hamiltonian that satisfies a Lieb-Robinson bound. I shall describe their main techniques and give a high-level analysis of their proof, which mainly proves that the Lindbladian from Chen, Kastoryano, and Gilyén is gapped at high enough temperatures.