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\bibitem [{\citenamefont {Affleck}\ \emph {et~al.}(1988)\citenamefont
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\bibitem [{\citenamefont {Wainwright}\ \emph {et~al.}(2003)\citenamefont
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\bibitem [{\citenamefont {Berrou}\ \emph {et~al.}(1993)\citenamefont {Berrou},
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\bibitem [{\citenamefont {Monasson}\ \emph {et~al.}(1999)\citenamefont
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%%CITATION = JMAPA,14,1938;%%
\bibitem [{\citenamefont {Hayden}\ \emph {et~al.}(2004)\citenamefont {Hayden},
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\bibitem [{\citenamefont {Wolf}\ \emph {et~al.}(2008)\citenamefont {Wolf},
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  \BibitemOpen
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  \BibitemOpen
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\bibitem [{\citenamefont {Fuchs}\ and\ \citenamefont {van~de
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  \BibitemOpen
  \bibfield  {author} {\bibinfo {author} {\bibfnamefont {C.}~\bibnamefont
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\bibitem [{\citenamefont {Pfeuty}(1970)}]{Pfe70a}%
  \BibitemOpen
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\bibitem [{\citenamefont {Zwolak}\ and\ \citenamefont {Vidal}(2004)}]{ZV04a}%
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\bibitem [{\citenamefont {Laumann}\ \emph {et~al.}(2008)\citenamefont
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\bibitem [{\citenamefont {Cincio}\ \emph {et~al.}(2008)\citenamefont {Cincio},
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\bibitem [{\citenamefont {Krzakala}\ \emph {et~al.}(2008)\citenamefont
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\bibitem [{\citenamefont {Giovannetti}\ \emph {et~al.}(2008)\citenamefont
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\bibitem [{\citenamefont {Pfeifer}\ \emph {et~al.}(2009)\citenamefont
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  \BibitemOpen
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  \BibitemOpen
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\bibitem [{\citenamefont {Nayak}\ \emph {et~al.}(2008)\citenamefont {Nayak},
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  \BibitemOpen
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  \BibitemOpen
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  \BibitemOpen
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\bibitem [{\citenamefont {Rezayi}\ and\ \citenamefont
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  \BibitemOpen
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\bibitem [{\citenamefont {Dolev}\ \emph {et~al.}(2008)\citenamefont {Dolev},
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  \BibitemOpen
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\bibitem [{\citenamefont {Radu}\ \emph {et~al.}(2008)\citenamefont {Radu},
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\bibitem [{\citenamefont {{Willett}}\ \emph {et~al.}(2009)\citenamefont
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\bibitem [{\citenamefont {Fu}\ \emph {et~al.}(2007)\citenamefont {Fu},
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\bibitem [{\citenamefont {Duan}\ \emph {et~al.}(2003)\citenamefont {Duan},
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\bibitem [{\citenamefont {Micheli}\ \emph {et~al.}(2006)\citenamefont
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  \BibitemOpen
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\bibitem [{\citenamefont {Trebst}\ \emph {et~al.}(2007)\citenamefont {Trebst},
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\bibitem [{\citenamefont {Tupitsyn}\ \emph {et~al.}(2010)\citenamefont
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\bibitem [{\citenamefont {Vidal}\ \emph
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\bibitem [{\citenamefont {Vidal}\ \emph
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\bibitem [{\citenamefont {{Bravyi}}\ \emph {et~al.}(2010)\citenamefont
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\bibitem [{\citenamefont {Feiguin}\ \emph {et~al.}(2007)\citenamefont
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  \BibitemOpen
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  \BibitemOpen
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\bibitem [{\citenamefont {Verstraete}\ \emph {et~al.}(2004)\citenamefont
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\bibitem [{\citenamefont {Verstraete}\ \emph {et~al.}(2008)\citenamefont
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  \BibitemOpen
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\bibitem [{\citenamefont {Trebst}\ \emph
  {et~al.}(2008{\natexlab{a}})\citenamefont {Trebst}, \citenamefont {Troyer},
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\bibitem [{\citenamefont {Evenbly}\ and\ \citenamefont
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\bibitem [{\citenamefont {Corboz}\ and\ \citenamefont
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  \BibitemOpen
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\bibitem [{\citenamefont {Verstraete}\ and\ \citenamefont
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\bibitem [{\citenamefont {Gu}\ \emph {et~al.}(2008)\citenamefont {Gu},
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\bibitem [{\citenamefont {Kraus}\ \emph {et~al.}(2010)\citenamefont {Kraus},
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  \BibitemOpen
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\bibitem [{\citenamefont {Pineda}\ \emph {et~al.}(2010)\citenamefont {Pineda},
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  \BibitemOpen
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\bibitem [{\citenamefont {Barthel}\ \emph {et~al.}(2009)\citenamefont
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  \BibitemOpen
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  \BibitemOpen
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  \BibitemOpen
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\bibitem [{\citenamefont {{Koenig}}\ \emph {et~al.}(2010)\citenamefont
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  \BibitemOpen
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  {NoStop}%
\bibitem [{\citenamefont {Bonderson}\ \emph {et~al.}(2009)\citenamefont
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  \BibitemOpen
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\bibitem [{\citenamefont {Gils}\ \emph {et~al.}(2009)\citenamefont {Gils},
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\bibitem [{\citenamefont {Lahtinen}\ \emph {et~al.}(2008)\citenamefont
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  (\bibinfo {year} {2008})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Baraban}\ \emph {et~al.}(2009)\citenamefont
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  \BibitemOpen
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\bibitem [{\citenamefont {Cheng}\ \emph {et~al.}(2009)\citenamefont {Cheng},
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  \BibitemOpen
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\bibitem [{\citenamefont {Montangero}\ \emph {et~al.}(2009)\citenamefont
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  \BibitemOpen
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  \BibitemOpen
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\bibitem [{\citenamefont {Trebst}\ \emph
  {et~al.}(2008{\natexlab{b}})\citenamefont {Trebst}, \citenamefont {Ardonne},
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\bibitem [{\citenamefont {Andrews}\ \emph {et~al.}(1984)\citenamefont
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  \BibitemOpen
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\bibitem [{\citenamefont {Ludwig}\ \emph {et~al.}()\citenamefont {Ludwig},
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  \BibitemOpen
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\bibitem [{\citenamefont {Shi}\ \emph {et~al.}(2006)\citenamefont {Shi},
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  \BibitemOpen
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\bibitem [{\citenamefont {Tagliacozzo}\ \emph {et~al.}(2009)\citenamefont
  {Tagliacozzo}, \citenamefont {Evenbly},\ and\ \citenamefont
  {Vidal}}]{TagliazzoEvenblyVidal09}%
  \BibitemOpen
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\bibitem [{\citenamefont {Murg}\ \emph {et~al.}(2010)\citenamefont {Murg},
  \citenamefont {Verstraete}, \citenamefont {Legeza},\ and\ \citenamefont
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  \BibitemOpen
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\bibitem [{\citenamefont {Feynman}(1982)}]{feynman_simulating_1982}%
  \BibitemOpen
  \bibfield  {author} {\bibinfo {author} {\bibfnamefont {R.~P.}\ \bibnamefont
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  {\bibinfo  {journal} {Int. J. Theor. Phys.}\ }\textbf {\bibinfo {volume}
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\bibitem [{\citenamefont {Lloyd}(1996)}]{lloyd_universal_1996}%
  \BibitemOpen
  \bibfield  {author} {\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
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\bibitem [{\citenamefont {Kitaev}\ \emph {et~al.}(2002)\citenamefont {Kitaev},
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  \BibitemOpen
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  \BibitemOpen
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\bibitem [{\citenamefont {Oliveira}\ and\ \citenamefont
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  \BibitemOpen
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\bibitem [{\citenamefont {Aharonov}\ \emph {et~al.}(2009)\citenamefont
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  \BibitemOpen
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\bibitem [{\citenamefont {Terhal}\ and\ \citenamefont
  {DiVincenzo}(2000)}]{terhal_divincenzo2000}%
  \BibitemOpen
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\bibitem [{\citenamefont {Temme}\ \emph {et~al.}(2011)\citenamefont {Temme},
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  \BibitemOpen
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\bibitem [{\citenamefont {{Cramer}}\ and\ \citenamefont
  {{Eisert}}(2010)}]{cramer2010a}%
  \BibitemOpen
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\bibitem [{\citenamefont {Poulin}\ and\ \citenamefont
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  \BibitemOpen
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\bibitem [{\citenamefont {Bhatia}(2007)}]{Bhatia06}%
  \BibitemOpen
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  {NoStop}%
\bibitem [{\citenamefont {Childs}\ \emph {et~al.}(2002)\citenamefont {Childs},
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  {Landahl}}]{childs_quantum_2002}%
  \BibitemOpen
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\bibitem [{\citenamefont {Boixo}\ \emph {et~al.}(2009)\citenamefont {Boixo},
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  \BibitemOpen
  \bibfield  {author} {\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
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\bibitem [{\citenamefont {Feller}(1968)}]{feller_introduction_1968}%
  \BibitemOpen
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  \BibitemOpen
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  \BibitemOpen
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  \BibitemShut {NoStop}%
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