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I have three states (I believe bell states) and want to find the density matrix, am I right in thinking:

1) [itex] \frac{|00> + |11>}{\sqrt{2}} \rightarrow \rho = \left( \begin{array}{cc}

\frac{1}{\sqrt{2}} & 0 \\

0 & \frac{1}{\sqrt{2}} \\

\end{array} \right) [/itex] (because it is pure)

2) [itex] \frac{|00> - |11>}{\sqrt{2}} \rightarrow \rho = \left( \begin{array}{cc}

\frac{1}{\sqrt{2}} & 0 \\

0 & \frac{1}{\sqrt{2}} \\

\end{array} \right) [/itex] (because it is pure)

3) [itex] \frac{|01> + |01>}{\sqrt{2}} \rightarrow \rho = \left( \begin{array}{cc}

\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} \\

\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} \\

\end{array} \right) [/itex] (because it is mixed)

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# Density matrix for bell states

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