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Daniel Knüttel 2020-03-16 13:20:09 +01:00
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thesis/chapters/quantum_computing.tex
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@ -15,8 +15,8 @@
\end{definition} \end{definition}
A gate acting on a qbit is a unitary operator $G \in U(2)$. One can show that A gate acting on a qbit is a unitary operator $G \in U(2)$. One can show that
$\forall G \in U(2)$ $G$ can be approximated arbitrarily good as a product of unitary generator matrices $\forall G \in U(2)$ $G$ can be written as a product of unitary generator matrices
\cite[Chapter 4.3]{kaye_ea2007}\cite[Chapter 2]{marquezino_ea_2019}; \cite[Chapter 4.2]{nielsen_chuang_2010}\cite[Chapter 4.3]{kaye_ea2007}\cite[Chapter 2]{marquezino_ea_2019};
common choices for the generators are $ X, H, R_{\phi}$ or $Z, H, R_{\phi}$ with common choices for the generators are $ X, H, R_{\phi}$ or $Z, H, R_{\phi}$ with
\label{ref:singleqbitgates} \label{ref:singleqbitgates}