diff --git a/_config.yml b/_config.yml index 2f7efbe..90883d4 100644 --- a/_config.yml +++ b/_config.yml @@ -1 +1,4 @@ -theme: jekyll-theme-minimal \ No newline at end of file +theme: jekyll-theme-minimal +markdown: kramdown +kramdown: + math_engine: mathjax \ No newline at end of file diff --git a/_includes/head-custom.html b/_includes/head-custom.html new file mode 100644 index 0000000..b83fbbc --- /dev/null +++ b/_includes/head-custom.html @@ -0,0 +1,17 @@ + + + \ No newline at end of file diff --git a/modules/m08-quantum-computing/m08t01-cbits-to-qbits.md b/modules/m08-quantum-computing/m08t01-cbits-to-qbits.md index d848c34..d297af5 100644 --- a/modules/m08-quantum-computing/m08t01-cbits-to-qbits.md +++ b/modules/m08-quantum-computing/m08t01-cbits-to-qbits.md @@ -36,21 +36,21 @@ Specifically, a qubit is a superposition of the orthonormal basis vectors of a t The *computational basis* is defined by eigenstates $\ket{0}$ and $\ket{1}$ and their superposition state: $$ -\ket{0} = \begin{pmatrix} 1 \\ 0 \end{pmatrix} +\ket{0} = \begin{pmatrix} 1 \\ 0 \end{pmatrix}, \quad -\ket{1} = \begin{pmatrix} 0 \\ 1 \end{pmatrix} +\ket{1} = \begin{pmatrix} 0 \\ 1 \end{pmatrix}; \quad -\ket{\psi} = c_{0} \ket{0} + c_{1} \ket{1} +\ket{\psi} = c_{0} \ket{0} + c_{1} \ket{1}. $$ The *standard basis* consists of the eigenstates $\ket{+}$ and $\ket{-}$ and their superposition state: $$ -\ket{+} = \frac{1}{\sqrt{2}} \begin{pmatrix} 1 \\ 1 \end{pmatrix} +\ket{+} = \frac{1}{\sqrt{2}} \begin{pmatrix} 1 \\ 1 \end{pmatrix}, \quad -\ket{-} = \frac{1}{\sqrt{2}} \begin{pmatrix} 1 \\ -1 \end{pmatrix} +\ket{-} = \frac{1}{\sqrt{2}} \begin{pmatrix} 1 \\ -1 \end{pmatrix}; \quad -\ket{\psi} = c_{+} \ket{0} + c_{-} \ket{1} +\ket{\psi} = c_{+} \ket{0} + c_{-} \ket{1}. $$ ### Entanglement