†-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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category
Hilb