Apply Schmidt decomposition to the general case in exercise 1.

Data From Exercise 1:-

Consider the state \(\left|\chi_{1,2}^{a}\rightangle=\left|\psi_{1,2}\rightangle+a\left|\phi_{1,2}\rightangle\), for an arbitrary \(a \in \mathbb{R}\). When is it separable? Calculate \(ho_{A}\) and \(ho_{B}\) to check that you find the correct results.