Proves quasi-optimal preparation of MCMI-clustering quantum Gibbs states of commuting Hamiltonians via Davies evolution in quantum Wasserstein distance of order one.
Note that here and in the following we will use ⊔ to denote a disjoint union of sets
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Quasi-optimal sampling from Gibbs states via non-commutative optimal transport metrics
Proves quasi-optimal preparation of MCMI-clustering quantum Gibbs states of commuting Hamiltonians via Davies evolution in quantum Wasserstein distance of order one.