†-category: Hilb
Hilb is a †-category. Composition in Hilb can happen in either direction; every arrow can interchange its source and target objects freely.
The core of Hilb is the groupoid Hilb₀:
Core(Hilb) ≅ Hilb₀
The unitary arrows of Hilb are the arrows of Hilb₀; they are unitary operators.
dagger_categories: Hilb
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Hilb |