A parity concept for invertible morphisms yields a coherence theorem in symmetric monoidal categories, with the free permutative category on an invertible generator equivalent to the super integers via ±1.
Abramsky, No-cloning in categorical quantum mechanics, Semantic Techniques in Quantum Computation, Cambridge University Press
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Invertibility and parity in symmetric monoidal categories
A parity concept for invertible morphisms yields a coherence theorem in symmetric monoidal categories, with the free permutative category on an invertible generator equivalent to the super integers via ±1.