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Author

Seth Douglas

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Preprint Sep 2026

Bath dimension and initial entropy for closed repeated use of a quantum channel

We characterize the bath resources needed to supply repeated uses of a fixed finite-dimensional quantum channel in a closed device. For each horizon $T$, one bath, one initial state and one repeated unitary are fixed before the user. Each output is returned before the next input arrives; no reset, discard, fresh ancill...

Seth Douglas · 0 citations
Preprint Sep 2026

The I3322 quantum value is attained spatially but not in finite dimension

Let $S$ be the common tensor-product and commuting-operator supremum of the $I_{3322}$ Bell functional in the Collins-Gisin normalization. Starting from a certified value window and Bellman/path equivalence, we prove that no finite-dimensional quantum strategy attains $S$, whereas a spatial strategy on $\ell^2(\mathbb{...

Seth Douglas · 1 citation

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