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references and other changes to LZL
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nchancel committed May 17, 2018
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6 changes: 4 additions & 2 deletions k-local-review.tex
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Expand Up @@ -1164,7 +1164,7 @@ \subsection{Chained Three Body Parity Operators}
%Recall that products of $b$ correspond to parity check or ${\sc xor}$ operations, while products of $b$ correspond to logical ${\sc and}$ operations.
The penalty term $P(z_{a_k},z_i,z_j)= \mp z_{a_k}z_iz_j$ guarantees that $z_{a_k}=\pm z_iz_j$. The 3-local term can be made from gadgets.

This method was originally only used to reproduce the ground state of high locality terms, but states of the "wrong" parity ($q_k=\mp z_iz_j$) will all have the same energy as well, so it reproduces the full spectrum.
%This method was originally only used to reproduce the ground state of high locality terms, but states of the "wrong" parity ($q_k=\mp z_iz_j$) will all have the same energy as well, so it reproduces the full spectrum.


\costsec
Expand Down Expand Up @@ -1224,7 +1224,9 @@ \subsection{Chained Three Body Parity Operators}

\refsec
\begin{itemize}
\item Original proposal with transmon implementation: \cite{Leib2016}.
\item Proposal with transmon implementation: \cite{Leib2016}.
\item Three local gadget independently discovered: \cite{Chancellor2016}.
\item Extension relating to stabilizers: \cite{Rocchetto2016}.
\end{itemize}

\newpage
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