3 papers
quant-ph2026
Amenable groups with nearly exponential sofic profile, and quantum channels that need nearly linear memory
Seth Douglas, Nidhal Mghirbi
How far from finite can an amenable group be? Every finite piece of an amenable group can be imitated by permutations of a finite set, and Cornulier's sofic profile counts how many…
quant-ph2026
Bath dimension and initial entropy for closed repeated use of a quantum channel
Seth Douglas
We characterize the bath resources needed to supply repeated uses of a fixed finite-dimensional quantum channel in a closed device. For each horizon , one bath, one initial stat…
quant-ph2026
The I3322 quantum value is attained spatially but not in finite dimension
Seth Douglas
Let be the common tensor-product and commuting-operator supremum of the Bell functional in the Collins-Gisin normalization. Starting from a certified value window an…