MathJax Test

\[ \left|{\psi_{AB}}\right\rangle = \left|{\psi_A}\right\rangle \otimes \left|{\psi_B}\right\rangle \\ = \begin{pmatrix} a \\ b \end{pmatrix} \otimes \begin{pmatrix} c \\ d \end{pmatrix} \\ = \begin{pmatrix} ac \\ ad \\ bc \\ bd \end{pmatrix} \]

 

\[ E_N(\rho) = log_2 \lVert \rho^{T_A} \rVert_1 \]

 

\[ \rho = \sum_{ijkl} p_{ijkl} \left|i\right\rangle \left\langle j\right| \otimes \left|k\right\rangle \left\langle l\right| \]

 

\[ \left|{\Phi^+}\right\rangle = \frac{1}{\sqrt{2}} \left( \left|{0}\right\rangle_A \left|{0}\right\rangle_B + \left|{1}\right\rangle_A \left|{1}\right\rangle_B \right) \]

 

$$\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}$$