- #1
pleasehelpmeno
- 157
- 0
Hi
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)
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)