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math.CT2026
On the Centre of Strong Graded Monads
Flavien Breuvart, Quan Long, Vladimir Zamdzhiev
We introduce the notion of 'centre' for pomonoid-graded strong monads which generalizes some previous work that describes the centre of (not graded) strong monads. We show that, wh…
math.CT2026
Quantum Coherence Spaces Revisited: A von Neumann (Co)Algebraic Approach
Thea Li, Vladimir Zamdzhiev
We describe a categorical model of MALL (Multiplicative Additive Linear Logic) inspired by the Heisenberg-Schrödinger duality of finite-dimensional quantum theory. Proofs of formul…
math.CT2024★ 1 cited
The Category of Operator Spaces and Complete Contractions
Bert Lindenhovius, Vladimir Zamdzhiev
We show that the category OS of operator spaces, with complete contractions as morphisms, is locally countably presentable. This result, together with its symmetric monoidal closed…