Some background:
The quantum teleportation protocol requires first that Alice and Bob share an entangled state, say a Bell state $|\psi^{+}\rangle_{AB}$. There is another state $|\psi\rangle_{A'}$ to which Bob is to receive. The protocol begins with $|\psi\rangle _{A'} \otimes |\psi^{+}\rangle_{AB}$.
Now, suppose instead of the Bell state I am provided the spatially distributed state as the Werner state is $\rho_{V} = V|\beta(1,1)\rangle\langle\beta(1,1)| + \frac{1-V}{4}$. Clearly, it is a matrix.
My first, and only in fact, approach is to determine the state vector of this Werner state so that I may proceed to understand the effect of replacing a Bell state with a Werner state.
I've been trying to find its state vector but I am unsure how to do so and how to do it efficiently. Any help is appreciated.
