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k ∈ N with k ≥ r the buffer length, separating cells of the same dimensionality such that the corresponding conditional expectations commute, hence allow us to use tensorization

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Quasi-optimal sampling from Gibbs states via non-commutative optimal transport metrics

quant-ph · 2024-12-02 · unverdicted · novelty 8.0

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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Quasi-optimal sampling from Gibbs states via non-commutative optimal transport metrics quant-ph · 2024-12-02 · unverdicted · none · ref 21
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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