1D translation-invariant Gibbs states at positive temperature exhibit superexponential decay of Belavkin-Staszewski conditional mutual information, enabling efficient learning from local measurements and tensor network approximations.
Scalet, Alvaro M
2 Pith papers cite this work. Polarity classification is still indexing.
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quant-ph 2years
2024 2verdicts
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Generalizes channel-state duality to algebras with centers, establishing a link between state non-separability and channel isometry, plus extension to infinite-dimensional trace-class operators.
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Conditional Independence of 1D Gibbs States with Applications to Efficient Learning
1D translation-invariant Gibbs states at positive temperature exhibit superexponential decay of Belavkin-Staszewski conditional mutual information, enabling efficient learning from local measurements and tensor network approximations.
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Channel-State duality with centers
Generalizes channel-state duality to algebras with centers, establishing a link between state non-separability and channel isometry, plus extension to infinite-dimensional trace-class operators.