some stuff here
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@ -97,6 +97,12 @@
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{
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{
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\begin{frame}{The Universal Quantum Computer}
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\begin{frame}{The Universal Quantum Computer}
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\begin{itemize}
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\item{A quantum system to which any unitary transformation can be applied.}
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\item{Any quantum system with sufficiently small hilbert space can be simulated.}
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\item{Quantum algorithms such as the Phase Estimation Algorithm have physical applications.}
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\item{Applications in other fields: Quantum AI, breaking encryption (via prime factorization), Quantum Search, ...}
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\end{itemize}
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\end{frame}
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\end{frame}
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}
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}
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@ -859,7 +865,7 @@
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{
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{
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\begin{frame}{Performance: Circuit Length on Graphical Representation}
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\begin{frame}{Performance: Circuit Length on Graphical Representation}
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\includegraphics[width=\textwidth]{../performance/scaling_circuits_linear.png}
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\includegraphics[width=\textwidth]{../performance/regimes/scaling_circuits_linear.png}
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\end{frame}
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\end{frame}
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}
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}
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@ -948,7 +954,7 @@
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\item{It would probably be enough to search for matrices $g_1, g_2$
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\item{It would probably be enough to search for matrices $g_1, g_2$
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for which
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for which
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\begin{equation}
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\begin{equation}
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CX_{1,2} (g_1 \otimes g_2) CX_{1,2} = g_1' \otimes g_2'
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\langle CX_{1,2} (g_1 \otimes g_2) CX_{1,2}\rangle = \langle g_1' \otimes g_2'\rangle
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\end{equation}
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\end{equation}
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holds. The Pauli matrices are one group that fulfills this property.
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holds. The Pauli matrices are one group that fulfills this property.
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}
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}
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