Proves quasi-optimal preparation of MCMI-clustering quantum Gibbs states of commuting Hamiltonians via Davies evolution in quantum Wasserstein distance of order one.
22 Note that the growth constant g is a function of κ, r and D, and that κ, r are not independent
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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.