Examples
The following categories are examples of dagger symmetric monoidal categories:
- The category Rel of sets and relations where the tensor is given by the product and where the dagger of a relation is given by its relational converse.
- The category FdHilb of finite dimensional Hilbert spaces is a dagger symmetric monoidal category where the tensor is the usual tensor product of Hilbert spaces and where the dagger of a linear map is given by its hermitian adjoint.
Read more about this topic: Dagger Symmetric Monoidal Category
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