Category of finite-dimensional Hilbert spaces

In the context of category theory, finite-dimensional Hilbert spaces can be viewed as objects in a category where the morphisms are continuous linear maps (linear transformations) between these spaces. Here are some key points to consider regarding this category: 1. **Objects**: The objects in this category are finite-dimensional Hilbert spaces. Typically, these are complex inner product spaces that can be expressed as \(\mathbb{C}^n\) for some finite \(n\).