Hilbert Space, Quantum Machine Learning, Qml, Data Science, Walid Soula.
The inner product measures distances, lengths, and angles between two vectors. Standard Inner Product. Image source: Walid Soula Proprieties of inner products : F ∈ {R,C}. Let X be an F-vector space Positive definite : The inner product of a vector x with itself should satisfy <x,x > ≥ 0, with