Can a State with Nonmeasurable Local Properties be Described by Quantum Rules?

[jk22]

If the state considered is :$\frac{1}{\sqrt{2}}\left[\left(\begin{array}{c}1\\0\\0\end{array}\right)\left(\begin{array}{c}0\\1\end{array}\right)-\left(\begin{array}{c}1\\0 \end{array}\right)\left(\begin{array}{c}0\\0\\1\end{array}\right)\right]$

It seems to me it were not locally measurable since it is a mixture of spin 1 boson with a spin 1/2 ?

However how about considering as a global 6x1 vector and apply usual quantum rules, would it make any sense ?

 

[vanhees71]

This notation is totally unknown to me. Could you explain, what you mean by your symbols?

 

[jim mcnamara]

A citation of your source might help, too.