17 lines
763 B
TeX
17 lines
763 B
TeX
% vim: ft=tex
|
|
|
|
\section{The Stabilizer Formalism}
|
|
|
|
The stabilizer formalism was originally introduced by Gottesman\cite{gottesman1997}
|
|
for quantum error correction and is a useful tool to encode quantum information
|
|
such that it is protected against noise. The prominent Shor code \cite{shor1995}
|
|
is an example of a stabilizer code (although it was discovered before the stabilizer
|
|
formalism was discovered), as are the 3-qbit bit-flip and phase-flip codes.
|
|
|
|
It was only later that Gottesman and Knill discovered that stabilizer states can
|
|
be simulated in polynomial time on a classical machine \cite{gottesman2008}. This
|
|
performance has since been improved to $n\log(n)$ time on average \cite{andersbriegel2005}.
|
|
|
|
\subsection{Stabilizers and Stabilizer States}
|
|
|