Proves quasi-optimal preparation of MCMI-clustering quantum Gibbs states of commuting Hamiltonians via Davies evolution in quantum Wasserstein distance of order one.
[DPR22] Giacomo De Palma and Cambyse Rouz´ e
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A literature review synthesizing developments in quantum Wasserstein distances, their applications, and unresolved questions.
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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.
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Wasserstein Distances on Quantum Structures: an Overview
A literature review synthesizing developments in quantum Wasserstein distances, their applications, and unresolved questions.