Partial Swapping, Unitarity and No-signalling

It is a well known fact that an quantum state $\mathrm{\mid }\psi (\theta ,\varphi )>$ is represented by a point on the Bloch sphere, characterized by two parameters $\theta$ and $\varphi$. In a recent work we already proved that it is impossible to partially swap these quantum parameters. Here in this work we will show that this impossibility theorem is consistent with principles like unitarity of quantum mechanics and no signalling principle.