I have a question regarding this topic. According Stokes Parameters theory, unpolarized light could be described as a superposition of two independent beams of equal intensity and orthogonal polarization. For instance, using Stokes vectors:

(LHP + LVP)

$I_0\begin{pmatrix} 1 \\ 0 \\ 0 \\ 0 \end{pmatrix} = \frac{I_0}{2}\begin{pmatrix} 1 \\ 1 \\ 0 \\ 0 \end{pmatrix} + \frac{I_0}{2}\begin{pmatrix} 1 \\ -1 \\ 0 \\ 0 \end{pmatrix} $

(RCP + LCP)

$I_0\begin{pmatrix} 1 \\ 0 \\ 0 \\ 0 \end{pmatrix} = \frac{I_0}{2}\begin{pmatrix} 1 \\ 0 \\ 0 \\ 1 \end{pmatrix} + \frac{I_0}{2}\begin{pmatrix} 1 \\ 0 \\ 0 \\ -1 \end{pmatrix} $

My question is: can I generate unpolarized light in a lab by combining two different light beams which fulfill the previous requirements?