Frobenius Inner Product (⟨·,·⟩𝐹)
- is a type of inner product (⟨·,·⟩) that takes matrices as input
- is defined as
- where the overline denotes the complex conjugate, and † denotes the Hermitian conjugate
- ⟨·,·⟩𝐹induces a Frobenius Norm (||·||𝐹) defined as: ||·||𝐹 = √(⟨·,·⟩𝐹)