Sampling Gibbs States of Quadratic Fermi Systems: A Computational Perspective

We discuss how to efficiently simulate simple Lindbladian dynamics converging to free-fermionic Gibbs states. Recent developments have shown how to efficiently sample Gibbs states of local Hamiltonians on a quantum computer. Here we take the specific Gibbs sampler quantum algorithm in [GCDK24], and show how to efficiently monitor the algorithm's convergence towards the thermal state of quadratic fermionic systems.