Hilbert Space, Quantum Machine Learning, Qml, Data Science, Walid Soula.
second vector : “Linear Inner Product”, this property asserts that the inner product is linear with respect to the second vector. If we take an inner product of <Ψ1,aΨ2,bΨ3> it would be equal to : a <Ψ1,Ψ2> + b <Ψ1,Ψ3> 3 — Positive definiteness: Suppose we have a vector v=(1,2,3) in R3 . Then, the