main.aux

\relax 
\providecommand\hyper@newdestlabel[2]{}
\providecommand*\new@tpo@label[2]{}
\providecommand\babel@aux[2]{}
\@nameuse{bbl@beforestart}
\catcode `"\active 
\@writefile{toc}{\boolfalse {citerequest}\boolfalse {citetracker}\boolfalse {pagetracker}\boolfalse {backtracker}\relax }
\@writefile{lof}{\boolfalse {citerequest}\boolfalse {citetracker}\boolfalse {pagetracker}\boolfalse {backtracker}\relax }
\@writefile{lot}{\boolfalse {citerequest}\boolfalse {citetracker}\boolfalse {pagetracker}\boolfalse {backtracker}\relax }
\bibstyle{biblatex}
\bibdata{main-blx,bibliography}
\citation{biblatex-control}
\abx@aux@refcontext{nty/global//global/global}
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
\global\let\oldcontentsline\contentsline
\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global\let\oldnewlabel\newlabel
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand\HyField@AuxAddToFields[1]{}
\providecommand\HyField@AuxAddToCoFields[2]{}
\providecommand\BKM@entry[2]{}
\babel@aux{american}{}
\BKM@entry{id=1,dest={636861707465722A2E31},srcline={1}}{5C3337365C3337375C303030415C303030625C303030735C303030745C303030725C303030615C303030635C30303074}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {chapter}{\nonumberline Abstract}{iii}{chapter*.1}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\defcounter {refsection}{0}\relax }\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lol}{\defcounter {refsection}{0}\relax }\@writefile{lol}{\addvspace {10\p@ }}
\@writefile{loa}{\defcounter {refsection}{0}\relax }\@writefile{loa}{\addvspace {10\p@ }}
\BKM@entry{id=2,dest={746F632E30},srcline={37}}{5C3337365C3337375C303030435C3030306F5C3030306E5C303030745C303030655C3030306E5C303030745C30303073}
\BKM@entry{id=3,dest={636861707465722E31},srcline={4}}{5C3337365C3337375C303030495C3030306E5C303030745C303030725C3030306F5C303030645C303030755C303030635C303030745C303030695C3030306F5C3030306E}
\citation{perri2012new}
\abx@aux@cite{perri2012new}
\abx@aux@segm{0}{0}{perri2012new}
\citation{sen2015towards}
\abx@aux@cite{sen2015towards}
\abx@aux@segm{0}{0}{sen2015towards}
\BKM@entry{id=4,dest={73656374696F6E2E312E31},srcline={7}}{5C3337365C3337375C3030304D5C3030306F5C303030745C303030695C303030765C303030615C303030745C303030695C3030306F5C3030306E}
\citation{safoev2020design}
\abx@aux@cite{safoev2020design}
\abx@aux@segm{0}{0}{safoev2020design}
\citation{kahng2011vlsi}
\abx@aux@cite{kahng2011vlsi}
\abx@aux@segm{0}{0}{kahng2011vlsi}
\citation{kahng2011vlsi}
\abx@aux@cite{kahng2011vlsi}
\abx@aux@segm{0}{0}{kahng2011vlsi}
\citation{ortho}
\abx@aux@cite{ortho}
\abx@aux@segm{0}{0}{ortho}
\citation{walter2018exact}
\abx@aux@cite{walter2018exact}
\abx@aux@segm{0}{0}{walter2018exact}
\BKM@entry{id=5,dest={73656374696F6E2E312E32},srcline={16}}{5C3337365C3337375C3030304F5C303030625C3030306A5C303030655C303030635C303030745C303030695C303030765C30303065}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {chapter}{\numberline {1}Introduction}{1}{chapter.1}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\defcounter {refsection}{0}\relax }\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lol}{\defcounter {refsection}{0}\relax }\@writefile{lol}{\addvspace {10\p@ }}
\@writefile{loa}{\defcounter {refsection}{0}\relax }\@writefile{loa}{\addvspace {10\p@ }}
\newlabel{chapter:introduction}{{1}{1}{Introduction}{chapter.1}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {1.1}Motivation}{1}{section.1.1}\protected@file@percent }
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {1.2}Objective}{2}{section.1.2}\protected@file@percent }
\BKM@entry{id=6,dest={636861707465722E32},srcline={1}}{5C3337365C3337375C303030505C303030725C303030655C3030306C5C303030695C3030306D5C303030695C3030306E5C303030615C303030725C303030695C303030655C30303073}
\BKM@entry{id=7,dest={73656374696F6E2E322E31},srcline={4}}{5C3337365C3337375C303030525C303030655C303030705C303030725C303030655C303030735C303030655C3030306E5C303030745C303030615C303030745C303030695C3030306F5C3030306E5C3030305C3034305C3030306F5C303030665C3030305C3034305C3030306C5C3030306F5C303030675C303030695C303030635C3030305C3034305C303030635C303030695C303030725C303030635C303030755C303030695C303030745C30303073}
\citation{halmos2009introduction}
\abx@aux@cite{halmos2009introduction}
\abx@aux@segm{0}{0}{halmos2009introduction}
\BKM@entry{id=8,dest={73756273656374696F6E2E322E312E31},srcline={7}}{5C3337365C3337375C303030425C3030306F5C3030306F5C3030306C5C303030655C303030615C3030306E5C3030305C3034305C303030465C303030755C3030306E5C303030635C303030745C303030695C3030306F5C3030306E5C30303073}
\citation{HuntingtonPostulate}
\abx@aux@cite{HuntingtonPostulate}
\abx@aux@segm{0}{0}{HuntingtonPostulate}
\citation{HuntingtonCorrection}
\abx@aux@cite{HuntingtonCorrection}
\abx@aux@segm{0}{0}{HuntingtonCorrection}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {chapter}{\numberline {2}Preliminaries}{3}{chapter.2}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\defcounter {refsection}{0}\relax }\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lol}{\defcounter {refsection}{0}\relax }\@writefile{lol}{\addvspace {10\p@ }}
\@writefile{loa}{\defcounter {refsection}{0}\relax }\@writefile{loa}{\addvspace {10\p@ }}
\newlabel{chapter:Preliminaries}{{2}{3}{Preliminaries}{chapter.2}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {2.1}Representation of logic circuits}{3}{section.2.1}\protected@file@percent }
\newlabel{sec:LogCirc}{{2.1}{3}{Representation of logic circuits}{section.2.1}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {2.1.1}Boolean Functions}{3}{subsection.2.1.1}\protected@file@percent }
\newlabel{subsec:boolfunc}{{2.1.1}{3}{Boolean Functions}{subsection.2.1.1}{}}
\newlabel{Def:BasBool}{{2.1.1}{3}{Basis for Boolean algebra}{definition.2.1.1}{}}
\citation{Boolean_def}
\abx@aux@cite{Boolean_def}
\abx@aux@segm{0}{0}{Boolean_def}
\citation{muti_output_boolean_function}
\abx@aux@cite{muti_output_boolean_function}
\abx@aux@segm{0}{0}{muti_output_boolean_function}
\citation{CNF}
\abx@aux@cite{CNF}
\abx@aux@segm{0}{0}{CNF}
\newlabel{Def:majf}{{2.1.3}{4}{Majority Function}{definition.2.1.3}{}}
\citation{DeMorgans_laws}
\abx@aux@cite{DeMorgans_laws}
\abx@aux@segm{0}{0}{DeMorgans_laws}
\BKM@entry{id=9,dest={73756273656374696F6E2E322E312E32},srcline={86}}{5C3337365C3337375C3030304C5C3030306F5C303030675C303030695C303030635C3030305C3034305C3030304E5C303030655C303030745C303030775C3030306F5C303030725C3030306B5C30303073}
\citation{canonical}
\abx@aux@cite{canonical}
\abx@aux@segm{0}{0}{canonical}
\citation{LogicNetwork}
\abx@aux@cite{LogicNetwork}
\abx@aux@segm{0}{0}{LogicNetwork}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {2.1.2}Logic Networks}{5}{subsection.2.1.2}\protected@file@percent }
\citation{Walter}
\abx@aux@cite{Walter}
\abx@aux@segm{0}{0}{Walter}
\citation{LogicNetwork}
\abx@aux@cite{LogicNetwork}
\abx@aux@segm{0}{0}{LogicNetwork}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.1}{\ignorespaces Binary Logic Network\relax }}{6}{figure.caption.6}\protected@file@percent }
\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
\newlabel{fig:LNEx}{{2.1}{6}{Binary Logic Network\relax }{figure.caption.6}{}}
\citation{Walter}
\abx@aux@cite{Walter}
\abx@aux@segm{0}{0}{Walter}
\citation{bandyopadhyay2019design}
\abx@aux@cite{bandyopadhyay2019design}
\abx@aux@segm{0}{0}{bandyopadhyay2019design}
\citation{bandyopadhyay2019design}
\abx@aux@cite{bandyopadhyay2019design}
\abx@aux@segm{0}{0}{bandyopadhyay2019design}
\citation{Walter}
\abx@aux@cite{Walter}
\abx@aux@segm{0}{0}{Walter}
\BKM@entry{id=10,dest={73656374696F6E2E322E32},srcline={192}}{5C3337365C3337375C303030515C303030435C303030415C3030305C3034305C303030545C303030655C303030635C303030685C3030306E5C3030306F5C3030306C5C3030306F5C303030675C30303079}
\citation{Moores_Law}
\abx@aux@cite{Moores_Law}
\abx@aux@segm{0}{0}{Moores_Law}
\citation{challenges_1}
\abx@aux@cite{challenges_1}
\abx@aux@segm{0}{0}{challenges_1}
\citation{challenges_2}
\abx@aux@cite{challenges_2}
\abx@aux@segm{0}{0}{challenges_2}
\citation{challenges_3}
\abx@aux@cite{challenges_3}
\abx@aux@segm{0}{0}{challenges_3}
\citation{safoev2020design}
\abx@aux@cite{safoev2020design}
\abx@aux@segm{0}{0}{safoev2020design}
\citation{mohammadi2016efficient}
\abx@aux@cite{mohammadi2016efficient}
\abx@aux@segm{0}{0}{mohammadi2016efficient}
\citation{ahmad2018optimal}
\abx@aux@cite{ahmad2018optimal}
\abx@aux@segm{0}{0}{ahmad2018optimal}
\citation{Bennet_waveform}
\abx@aux@cite{Bennet_waveform}
\abx@aux@segm{0}{0}{Bennet_waveform}
\citation{ahmad2018optimal}
\abx@aux@cite{ahmad2018optimal}
\abx@aux@segm{0}{0}{ahmad2018optimal}
\BKM@entry{id=11,dest={73756273656374696F6E2E322E322E31},srcline={197}}{5C3337365C3337375C303030435C303030655C3030306C5C3030306C5C30303073}
\citation{QCA_technology}
\abx@aux@cite{QCA_technology}
\abx@aux@segm{0}{0}{QCA_technology}
\citation{Quantum_dots}
\abx@aux@cite{Quantum_dots}
\abx@aux@segm{0}{0}{Quantum_dots}
\citation{orlov2008magnetic}
\abx@aux@cite{orlov2008magnetic}
\abx@aux@segm{0}{0}{orlov2008magnetic}
\citation{retallick2020population}
\abx@aux@cite{retallick2020population}
\abx@aux@segm{0}{0}{retallick2020population}
\citation{Quantum_dots}
\abx@aux@cite{Quantum_dots}
\abx@aux@segm{0}{0}{Quantum_dots}
\citation{Sasamal2020QuantumDotCA}
\abx@aux@cite{Sasamal2020QuantumDotCA}
\abx@aux@segm{0}{0}{Sasamal2020QuantumDotCA}
\citation{lent1997device}
\abx@aux@cite{lent1997device}
\abx@aux@segm{0}{0}{lent1997device}
\citation{lent1994quantum}
\abx@aux@cite{lent1994quantum}
\abx@aux@segm{0}{0}{lent1994quantum}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {2.2}QCA Technology}{8}{section.2.2}\protected@file@percent }
\newlabel{sec:QCATec}{{2.2}{8}{QCA Technology}{section.2.2}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.1}Cells}{8}{subsection.2.2.1}\protected@file@percent }
\newlabel{subsec:cells}{{2.2.1}{8}{Cells}{subsection.2.2.1}{}}
\citation{Sasamal2020QuantumDotCA}
\abx@aux@cite{Sasamal2020QuantumDotCA}
\abx@aux@segm{0}{0}{Sasamal2020QuantumDotCA}
\citation{lent1997device}
\abx@aux@cite{lent1997device}
\abx@aux@segm{0}{0}{lent1997device}
\BKM@entry{id=12,dest={73756273656374696F6E2E322E322E32},srcline={302}}{5C3337365C3337375C303030475C303030615C303030745C303030655C30303073}
\citation{QCA_scl}
\abx@aux@cite{QCA_scl}
\abx@aux@segm{0}{0}{QCA_scl}
\citation{peng2020spars}
\abx@aux@cite{peng2020spars}
\abx@aux@segm{0}{0}{peng2020spars}
\citation{ortho}
\abx@aux@cite{ortho}
\abx@aux@segm{0}{0}{ortho}
\citation{fontes}
\abx@aux@cite{fontes}
\abx@aux@segm{0}{0}{fontes}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.2}{\ignorespaces QCA-Cell sates\relax }}{9}{figure.caption.7}\protected@file@percent }
\newlabel{fig:QCAStates}{{2.2}{9}{QCA-Cell sates\relax }{figure.caption.7}{}}
\citation{QCA_scl}
\abx@aux@cite{QCA_scl}
\abx@aux@segm{0}{0}{QCA_scl}
\citation{Sasamal2020QuantumDotCA}
\abx@aux@cite{Sasamal2020QuantumDotCA}
\abx@aux@segm{0}{0}{Sasamal2020QuantumDotCA}
\citation{QCA_scl}
\abx@aux@cite{QCA_scl}
\abx@aux@segm{0}{0}{QCA_scl}
\citation{peng2020spars}
\abx@aux@cite{peng2020spars}
\abx@aux@segm{0}{0}{peng2020spars}
\citation{fontes}
\abx@aux@cite{fontes}
\abx@aux@segm{0}{0}{fontes}
\citation{sequential_cell_one}
\abx@aux@cite{sequential_cell_one}
\abx@aux@segm{0}{0}{sequential_cell_one}
\citation{USE}
\abx@aux@cite{USE}
\abx@aux@segm{0}{0}{USE}
\citation{SingelElectronFaults}
\abx@aux@cite{SingelElectronFaults}
\abx@aux@segm{0}{0}{SingelElectronFaults}
\citation{Inverter_displacements}
\abx@aux@cite{Inverter_displacements}
\abx@aux@segm{0}{0}{Inverter_displacements}
\citation{majorityrotated}
\abx@aux@cite{majorityrotated}
\abx@aux@segm{0}{0}{majorityrotated}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.3}{\ignorespaces Adjacent QCA-cells forming a wire segment\relax }}{10}{figure.caption.8}\protected@file@percent }
\newlabel{fig:QCAWire}{{2.3}{10}{Adjacent QCA-cells forming a wire segment\relax }{figure.caption.8}{}}
\newlabel{subfig:45Inverter}{{2.4(a)}{10}{Subfigure 2 2.4(a)}{subfigure.2.4.1}{}}
\newlabel{sub@subfig:45Inverter}{{(a)}{10}{Subfigure 2 2.4(a)\relax }{subfigure.2.4.1}{}}
\newlabel{subfig:StandardInverter}{{2.4(b)}{10}{Subfigure 2 2.4(b)}{subfigure.2.4.2}{}}
\newlabel{sub@subfig:StandardInverter}{{(b)}{10}{Subfigure 2 2.4(b)\relax }{subfigure.2.4.2}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.4}{\ignorespaces Different QCA Inverter representations\relax }}{10}{figure.caption.9}\protected@file@percent }
\newlabel{fig:QCAInverter}{{2.4}{10}{Different QCA Inverter representations\relax }{figure.caption.9}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Diagonal Inverter}}}{10}{figure.caption.9}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Standard Inverter}}}{10}{figure.caption.9}\protected@file@percent }
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.2}Gates}{10}{subsection.2.2.2}\protected@file@percent }
\newlabel{subsec:gates}{{2.2.2}{10}{Gates}{subsection.2.2.2}{}}
\newlabel{subfig:rotatedMaj}{{2.5(a)}{11}{Subfigure 2 2.5(a)}{subfigure.2.5.1}{}}
\newlabel{sub@subfig:rotatedMaj}{{(a)}{11}{Subfigure 2 2.5(a)\relax }{subfigure.2.5.1}{}}
\newlabel{subfig:StandardMaj}{{2.5(b)}{11}{Subfigure 2 2.5(b)}{subfigure.2.5.2}{}}
\newlabel{sub@subfig:StandardMaj}{{(b)}{11}{Subfigure 2 2.5(b)\relax }{subfigure.2.5.2}{}}
\newlabel{subfig:StandardAnd}{{2.5(c)}{11}{Subfigure 2 2.5(c)}{subfigure.2.5.3}{}}
\newlabel{sub@subfig:StandardAnd}{{(c)}{11}{Subfigure 2 2.5(c)\relax }{subfigure.2.5.3}{}}
\newlabel{subfig:StandardOr}{{2.5(d)}{11}{Subfigure 2 2.5(d)}{subfigure.2.5.4}{}}
\newlabel{sub@subfig:StandardOr}{{(d)}{11}{Subfigure 2 2.5(d)\relax }{subfigure.2.5.4}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.5}{\ignorespaces The QCA Majority gate\relax }}{11}{figure.caption.10}\protected@file@percent }
\newlabel{fig:QCAMaj}{{2.5}{11}{The QCA Majority gate\relax }{figure.caption.10}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Rotated Majority gate}}}{11}{figure.caption.10}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Standard Majority Gate}}}{11}{figure.caption.10}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(c)}{\ignorespaces {Standard AND Gate}}}{11}{figure.caption.10}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(d)}{\ignorespaces {Standard OR Gate}}}{11}{figure.caption.10}\protected@file@percent }
\citation{Inverter_displacements}
\abx@aux@cite{Inverter_displacements}
\abx@aux@segm{0}{0}{Inverter_displacements}
\citation{multi_lyer_wire_crossing}
\abx@aux@cite{multi_lyer_wire_crossing}
\abx@aux@segm{0}{0}{multi_lyer_wire_crossing}
\citation{Inverter_displacements}
\abx@aux@cite{Inverter_displacements}
\abx@aux@segm{0}{0}{Inverter_displacements}
\newlabel{subfig:straight_wire}{{2.6(a)}{12}{Subfigure 2 2.6(a)}{subfigure.2.6.1}{}}
\newlabel{sub@subfig:straight_wire}{{(a)}{12}{Subfigure 2 2.6(a)\relax }{subfigure.2.6.1}{}}
\newlabel{subfig:bent_wire}{{2.6(b)}{12}{Subfigure 2 2.6(b)}{subfigure.2.6.2}{}}
\newlabel{sub@subfig:bent_wire}{{(b)}{12}{Subfigure 2 2.6(b)\relax }{subfigure.2.6.2}{}}
\newlabel{subfig:fanout_wire}{{2.6(c)}{12}{Subfigure 2 2.6(c)}{subfigure.2.6.3}{}}
\newlabel{sub@subfig:fanout_wire}{{(c)}{12}{Subfigure 2 2.6(c)\relax }{subfigure.2.6.3}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.6}{\ignorespaces QCA wires\relax }}{12}{figure.caption.11}\protected@file@percent }
\newlabel{fig:QCA_wires}{{2.6}{12}{QCA wires\relax }{figure.caption.11}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Straight wire}}}{12}{figure.caption.11}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Bent wire}}}{12}{figure.caption.11}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(c)}{\ignorespaces {Fan-out wire}}}{12}{figure.caption.11}\protected@file@percent }
\newlabel{subfig:CoplanarWire}{{2.7(a)}{12}{Subfigure 2 2.7(a)}{subfigure.2.7.1}{}}
\newlabel{sub@subfig:CoplanarWire}{{(a)}{12}{Subfigure 2 2.7(a)\relax }{subfigure.2.7.1}{}}
\newlabel{subfig:mlwirecrossing}{{2.7(b)}{12}{Subfigure 2 2.7(b)}{subfigure.2.7.2}{}}
\newlabel{sub@subfig:mlwirecrossing}{{(b)}{12}{Subfigure 2 2.7(b)\relax }{subfigure.2.7.2}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.7}{\ignorespaces Different QCA wire crossing implementations\relax }}{12}{figure.caption.12}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Coplanar wire crossing}}}{12}{figure.caption.12}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Multi-layer wire crossing}}}{12}{figure.caption.12}\protected@file@percent }
\BKM@entry{id=13,dest={73756273656374696F6E2E322E322E33},srcline={1099}}{5C3337365C3337375C303030435C3030306C5C3030306F5C303030635C3030306B5C303030695C3030306E5C30303067}
\citation{lent1997device}
\abx@aux@cite{lent1997device}
\abx@aux@segm{0}{0}{lent1997device}
\citation{lent1994quantum}
\abx@aux@cite{lent1994quantum}
\abx@aux@segm{0}{0}{lent1994quantum}
\citation{lent1997device}
\abx@aux@cite{lent1997device}
\abx@aux@segm{0}{0}{lent1997device}
\newlabel{subfig:BentWire}{{2.8(f)}{13}{Subfigure 2 2.8(f)}{subfigure.2.8.6}{}}
\newlabel{sub@subfig:BentWire}{{(f)}{13}{Subfigure 2 2.8(f)\relax }{subfigure.2.8.6}{}}
\newlabel{subfig:FanoutWire}{{2.8(g)}{13}{Subfigure 2 2.8(g)}{subfigure.2.8.7}{}}
\newlabel{sub@subfig:FanoutWire}{{(g)}{13}{Subfigure 2 2.8(g)\relax }{subfigure.2.8.7}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.8}{\ignorespaces QCA Standard Library\relax }}{13}{figure.caption.13}\protected@file@percent }
\newlabel{fig:StandardCellLibrary}{{2.8}{13}{QCA Standard Library\relax }{figure.caption.13}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {INV}}}{13}{figure.caption.13}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {MAJ}}}{13}{figure.caption.13}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(c)}{\ignorespaces {AND}}}{13}{figure.caption.13}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(d)}{\ignorespaces {OR}}}{13}{figure.caption.13}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(e)}{\ignorespaces {Wire}}}{13}{figure.caption.13}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(f)}{\ignorespaces {Bent wire}}}{13}{figure.caption.13}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(g)}{\ignorespaces {Fanout}}}{13}{figure.caption.13}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(h)}{\ignorespaces {Wire crossing}}}{13}{figure.caption.13}\protected@file@percent }
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {2.2.3}Clocking}{13}{subsection.2.2.3}\protected@file@percent }
\newlabel{subsec:clocking}{{2.2.3}{13}{Clocking}{subsection.2.2.3}{}}
\citation{lent1994quantum}
\abx@aux@cite{lent1994quantum}
\abx@aux@segm{0}{0}{lent1994quantum}
\citation{lent1994quantum}
\abx@aux@cite{lent1994quantum}
\abx@aux@segm{0}{0}{lent1994quantum}
\citation{lent1997device}
\abx@aux@cite{lent1997device}
\abx@aux@segm{0}{0}{lent1997device}
\citation{lent1997device}
\abx@aux@cite{lent1997device}
\abx@aux@segm{0}{0}{lent1997device}
\citation{Walter}
\abx@aux@cite{Walter}
\abx@aux@segm{0}{0}{Walter}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.9}{\ignorespaces Schematic of a combined QCA and CMOS system~\cite {lent1994quantum}.\relax }}{14}{figure.caption.14}\protected@file@percent }
\newlabel{fig:QCA_array}{{2.9}{14}{Schematic of a combined QCA and CMOS system~\cite {lent1994quantum}.\relax }{figure.caption.14}{}}
\citation{Sasamal2020QuantumDotCA}
\abx@aux@cite{Sasamal2020QuantumDotCA}
\abx@aux@segm{0}{0}{Sasamal2020QuantumDotCA}
\citation{lent1997device}
\abx@aux@cite{lent1997device}
\abx@aux@segm{0}{0}{lent1997device}
\citation{landauer1961irreversibility}
\abx@aux@cite{landauer1961irreversibility}
\abx@aux@segm{0}{0}{landauer1961irreversibility}
\citation{keyes1970minimal}
\abx@aux@cite{keyes1970minimal}
\abx@aux@segm{0}{0}{keyes1970minimal}
\citation{lent2006bennett}
\abx@aux@cite{lent2006bennett}
\abx@aux@segm{0}{0}{lent2006bennett}
\citation{lent2006bennett}
\abx@aux@cite{lent2006bennett}
\abx@aux@segm{0}{0}{lent2006bennett}
\citation{lent2006bennett}
\abx@aux@cite{lent2006bennett}
\abx@aux@segm{0}{0}{lent2006bennett}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.10}{\ignorespaces QCA wire divided into the four clock zones according to Bennett clocking\relax }}{15}{figure.caption.15}\protected@file@percent }
\newlabel{fig:QCA_wire_clocked}{{2.10}{15}{QCA wire divided into the four clock zones according to Bennett clocking\relax }{figure.caption.15}{}}
\citation{majeed2019optimal}
\abx@aux@cite{majeed2019optimal}
\abx@aux@segm{0}{0}{majeed2019optimal}
\citation{majeed2019optimal}
\abx@aux@cite{majeed2019optimal}
\abx@aux@segm{0}{0}{majeed2019optimal}
\citation{blair2003architecture}
\abx@aux@cite{blair2003architecture}
\abx@aux@segm{0}{0}{blair2003architecture}
\citation{taucer2015consequences}
\abx@aux@cite{taucer2015consequences}
\abx@aux@segm{0}{0}{taucer2015consequences}
\newlabel{subfig:Landauer}{{2.11(a)}{16}{Subfigure 2 2.11(a)}{subfigure.2.11.1}{}}
\newlabel{sub@subfig:Landauer}{{(a)}{16}{Subfigure 2 2.11(a)\relax }{subfigure.2.11.1}{}}
\newlabel{subfig:Bennet}{{2.11(b)}{16}{Subfigure 2 2.11(b)}{subfigure.2.11.2}{}}
\newlabel{sub@subfig:Bennet}{{(b)}{16}{Subfigure 2 2.11(b)\relax }{subfigure.2.11.2}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.11}{\ignorespaces QCA clocking pipeline\relax }}{16}{figure.caption.16}\protected@file@percent }
\newlabel{fig:QCAClockpipeline}{{2.11}{16}{QCA clocking pipeline\relax }{figure.caption.16}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Landauer clocking}}}{16}{figure.caption.16}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Bennet clocking}}}{16}{figure.caption.16}\protected@file@percent }
\citation{2DD}
\abx@aux@cite{2DD}
\abx@aux@segm{0}{0}{2DD}
\citation{USE}
\abx@aux@cite{USE}
\abx@aux@segm{0}{0}{USE}
\citation{RES}
\abx@aux@cite{RES}
\abx@aux@segm{0}{0}{RES}
\citation{2DD}
\abx@aux@cite{2DD}
\abx@aux@segm{0}{0}{2DD}
\citation{USE}
\abx@aux@cite{USE}
\abx@aux@segm{0}{0}{USE}
\citation{RES}
\abx@aux@cite{RES}
\abx@aux@segm{0}{0}{RES}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.12}{\ignorespaces Cell based layout of a 2:1 MUX~\cite {majeed2019optimal}\relax }}{17}{figure.caption.17}\protected@file@percent }
\newlabel{fig:cell_based_mux}{{2.12}{17}{Cell based layout of a 2:1 MUX~\cite {majeed2019optimal}\relax }{figure.caption.17}{}}
\newlabel{subfig:2DD}{{2.13(a)}{17}{Subfigure 2 2.13(a)}{subfigure.2.13.1}{}}
\newlabel{sub@subfig:2DD}{{(a)}{17}{Subfigure 2 2.13(a)\relax }{subfigure.2.13.1}{}}
\newlabel{subfig:USE}{{2.13(b)}{17}{Subfigure 2 2.13(b)}{subfigure.2.13.2}{}}
\newlabel{sub@subfig:USE}{{(b)}{17}{Subfigure 2 2.13(b)\relax }{subfigure.2.13.2}{}}
\newlabel{subfig:RES}{{2.13(c)}{17}{Subfigure 2 2.13(c)}{subfigure.2.13.3}{}}
\newlabel{sub@subfig:RES}{{(c)}{17}{Subfigure 2 2.13(c)\relax }{subfigure.2.13.3}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.13}{\ignorespaces Different clocking Schemes in QCA\relax }}{17}{figure.caption.18}\protected@file@percent }
\newlabel{fig:ClockingSchemes}{{2.13}{17}{Different clocking Schemes in QCA\relax }{figure.caption.18}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {2DDWave~\cite {2DD}}}}{17}{figure.caption.18}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {USE~\cite {USE}}}}{17}{figure.caption.18}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(c)}{\ignorespaces {RES~\cite {RES}}}}{17}{figure.caption.18}\protected@file@percent }
\BKM@entry{id=14,dest={73656374696F6E2E322E33},srcline={1317}}{5C3337365C3337375C303030505C3030306C5C303030615C303030635C303030655C3030306D5C303030655C3030306E5C303030745C3030305C3034305C303030615C3030306E5C303030645C3030305C3034305C303030725C3030306F5C303030755C303030745C303030695C3030306E5C303030675C3030305C3034305C303030705C303030725C3030306F5C303030625C3030306C5C303030655C3030306D}
\citation{Walter}
\abx@aux@cite{Walter}
\abx@aux@segm{0}{0}{Walter}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {2.3}Placement and routing problem}{18}{section.2.3}\protected@file@percent }
\newlabel{sec:PR}{{2.3}{18}{Placement and routing problem}{section.2.3}{}}
\citation{NP-hard}
\abx@aux@cite{NP-hard}
\abx@aux@segm{0}{0}{NP-hard}
\citation{Walter}
\abx@aux@cite{Walter}
\abx@aux@segm{0}{0}{Walter}
\citation{turvani2014physical}
\abx@aux@cite{turvani2014physical}
\abx@aux@segm{0}{0}{turvani2014physical}
\BKM@entry{id=15,dest={73656374696F6E2E322E34},srcline={1335}}{5C3337365C3337375C303030535C303030655C303030715C303030755C303030655C3030306E5C303030745C303030695C303030615C3030306C5C303030695C303030745C30303079}
\BKM@entry{id=16,dest={73756273656374696F6E2E322E342E31},srcline={1339}}{5C3337365C3337375C303030435C3030304D5C3030304F5C303030535C3030305C3034305C303030735C303030745C3030306F5C303030725C303030615C303030675C303030655C3030305C3034305C303030655C3030306C5C303030655C3030306D5C303030655C3030306E5C303030745C30303073}
\citation{hawkins2012cmos}
\abx@aux@cite{hawkins2012cmos}
\abx@aux@segm{0}{0}{hawkins2012cmos}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.14}{\ignorespaces Eccles-Jordan-Flip-Flop\relax }}{20}{figure.caption.19}\protected@file@percent }
\newlabel{fig:EJFF}{{2.14}{20}{Eccles-Jordan-Flip-Flop\relax }{figure.caption.19}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {2.4}Sequentiality}{20}{section.2.4}\protected@file@percent }
\newlabel{subsec:latchesandregisters}{{2.4}{20}{Sequentiality}{section.2.4}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {2.4.1}CMOS storage elements}{20}{subsection.2.4.1}\protected@file@percent }
\citation{hawkins2012cmos}
\abx@aux@cite{hawkins2012cmos}
\abx@aux@segm{0}{0}{hawkins2012cmos}
\BKM@entry{id=17,dest={73756273656374696F6E2E322E342E32},srcline={1471}}{5C3337365C3337375C303030515C303030435C303030415C3030305C3034305C303030735C303030745C3030306F5C303030725C303030615C303030675C303030655C3030305C3034305C303030655C3030306C5C303030655C3030306D5C303030655C3030306E5C303030745C30303073}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.15}{\ignorespaces SR-Latch\relax }}{21}{figure.caption.20}\protected@file@percent }
\newlabel{fig:SR-Latch}{{2.15}{21}{SR-Latch\relax }{figure.caption.20}{}}
\citation{torres2018synchronization}
\abx@aux@cite{torres2018synchronization}
\abx@aux@segm{0}{0}{torres2018synchronization}
\citation{torres2018synchronization}
\abx@aux@cite{torres2018synchronization}
\abx@aux@segm{0}{0}{torres2018synchronization}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.16}{\ignorespaces D-Latch\relax }}{22}{figure.caption.21}\protected@file@percent }
\newlabel{fig:D-Latch}{{2.16}{22}{D-Latch\relax }{figure.caption.21}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {2.4.2}QCA storage elements}{22}{subsection.2.4.2}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.17}{\ignorespaces Clocking of a basic latch in QCA\relax }}{23}{figure.caption.22}\protected@file@percent }
\newlabel{fig:sequ_el_clocking}{{2.17}{23}{Clocking of a basic latch in QCA\relax }{figure.caption.22}{}}
\newlabel{subfig:Wire_FF}{{2.18(a)}{23}{Subfigure 2 2.18(a)}{subfigure.2.18.1}{}}
\newlabel{sub@subfig:Wire_FF}{{(a)}{23}{Subfigure 2 2.18(a)\relax }{subfigure.2.18.1}{}}
\newlabel{subfig:Maj_FF}{{2.18(b)}{23}{Subfigure 2 2.18(b)}{subfigure.2.18.2}{}}
\newlabel{sub@subfig:Maj_FF}{{(b)}{23}{Subfigure 2 2.18(b)\relax }{subfigure.2.18.2}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {2.18}{\ignorespaces QCA storage elements\relax }}{23}{figure.caption.23}\protected@file@percent }
\newlabel{fig:QCAFFs}{{2.18}{23}{QCA storage elements\relax }{figure.caption.23}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Wire FF}}}{23}{figure.caption.23}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {D-FF}}}{23}{figure.caption.23}\protected@file@percent }
\BKM@entry{id=18,dest={636861707465722E33},srcline={1}}{5C3337365C3337375C303030535C303030745C303030615C303030745C303030655C3030305C3034305C3030306F5C303030665C3030305C3034305C303030745C303030685C303030655C3030305C3034305C303030415C303030725C30303074}
\BKM@entry{id=19,dest={73656374696F6E2E332E31},srcline={4}}{5C3337365C3337375C303030435C3030306F5C3030306D5C303030625C303030695C3030306E5C303030615C303030745C303030695C3030306F5C3030306E5C303030615C3030306C5C3030305C3034305C303030505C3030305C3034365C303030525C3030305C3034305C303030415C3030306C5C303030675C3030306F5C303030725C303030695C303030745C303030685C3030306D5C30303073}
\BKM@entry{id=20,dest={73756273656374696F6E2E332E312E31},srcline={7}}{5C3337365C3337375C3030304F5C303030705C303030745C303030695C3030306D5C303030615C3030306C5C3030305C3034305C303030535C3030306F5C3030306C5C303030755C303030745C303030695C3030306F5C3030306E5C30303073}
\citation{boolean_abstraction}
\abx@aux@cite{boolean_abstraction}
\abx@aux@segm{0}{0}{boolean_abstraction}
\citation{SMT}
\abx@aux@cite{SMT}
\abx@aux@segm{0}{0}{SMT}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {chapter}{\numberline {3}State of the Art}{24}{chapter.3}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\defcounter {refsection}{0}\relax }\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lol}{\defcounter {refsection}{0}\relax }\@writefile{lol}{\addvspace {10\p@ }}
\@writefile{loa}{\defcounter {refsection}{0}\relax }\@writefile{loa}{\addvspace {10\p@ }}
\newlabel{chapter:SotA}{{3}{24}{State of the Art}{chapter.3}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {3.1}Combinational P\&R Algorithms}{24}{section.3.1}\protected@file@percent }
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {3.1.1}Optimal Solutions}{24}{subsection.3.1.1}\protected@file@percent }
\citation{SMT}
\abx@aux@cite{SMT}
\abx@aux@segm{0}{0}{SMT}
\citation{SMT}
\abx@aux@cite{SMT}
\abx@aux@segm{0}{0}{SMT}
\citation{walter2018exact}
\abx@aux@cite{walter2018exact}
\abx@aux@segm{0}{0}{walter2018exact}
\citation{walter2021one}
\abx@aux@cite{walter2021one}
\abx@aux@segm{0}{0}{walter2021one}
\citation{walter2018exact}
\abx@aux@cite{walter2018exact}
\abx@aux@segm{0}{0}{walter2018exact}
\citation{fontes}
\abx@aux@cite{fontes}
\abx@aux@segm{0}{0}{fontes}
\citation{trindade2016placement}
\abx@aux@cite{trindade2016placement}
\abx@aux@segm{0}{0}{trindade2016placement}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {3.1}{\ignorespaces Lazy SMT-solving process~\cite {SMT}\relax }}{25}{figure.caption.24}\protected@file@percent }
\newlabel{fig:SMT_solving}{{3.1}{25}{Lazy SMT-solving process~\cite {SMT}\relax }{figure.caption.24}{}}
\citation{walter2021one}
\abx@aux@cite{walter2021one}
\abx@aux@segm{0}{0}{walter2021one}
\BKM@entry{id=21,dest={73756273656374696F6E2E332E312E32},srcline={20}}{5C3337365C3337375C303030535C303030635C303030615C3030306C5C303030615C303030625C3030306C5C303030655C3030305C3034305C303030535C3030306F5C3030306C5C303030755C303030745C303030695C3030306F5C3030306E5C30303073}
\citation{QCA-LG}
\abx@aux@cite{QCA-LG}
\abx@aux@segm{0}{0}{QCA-LG}
\citation{node_duplication}
\abx@aux@cite{node_duplication}
\abx@aux@segm{0}{0}{node_duplication}
\citation{dummy_and_buffer_nodes}
\abx@aux@cite{dummy_and_buffer_nodes}
\abx@aux@segm{0}{0}{dummy_and_buffer_nodes}
\citation{QCA-LG}
\abx@aux@cite{QCA-LG}
\abx@aux@segm{0}{0}{QCA-LG}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {3.1.2}Scalable Solutions}{26}{subsection.3.1.2}\protected@file@percent }
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsubsection}{\nonumberline Preprocessing}{26}{subsubsection*.26}\protected@file@percent }
\citation{QCA-LG}
\abx@aux@cite{QCA-LG}
\abx@aux@segm{0}{0}{QCA-LG}
\citation{QCA-LG}
\abx@aux@cite{QCA-LG}
\abx@aux@segm{0}{0}{QCA-LG}
\citation{trindade2016placement}
\abx@aux@cite{trindade2016placement}
\abx@aux@segm{0}{0}{trindade2016placement}
\citation{QCA-LG}
\abx@aux@cite{QCA-LG}
\abx@aux@segm{0}{0}{QCA-LG}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {3.2}{\ignorespaces Gate placement with black circles showing wasted area~\cite {QCA-LG}\relax }}{27}{figure.caption.27}\protected@file@percent }
\newlabel{fig:Gate_placement_wasted_area}{{3.2}{27}{Gate placement with black circles showing wasted area~\cite {QCA-LG}\relax }{figure.caption.27}{}}
\citation{ortho}
\abx@aux@cite{ortho}
\abx@aux@segm{0}{0}{ortho}
\citation{dummy_and_buffer_nodes}
\abx@aux@cite{dummy_and_buffer_nodes}
\abx@aux@segm{0}{0}{dummy_and_buffer_nodes}
\citation{OGD}
\abx@aux@cite{OGD}
\abx@aux@segm{0}{0}{OGD}
\citation{OGD}
\abx@aux@cite{OGD}
\abx@aux@segm{0}{0}{OGD}
\citation{OGD}
\abx@aux@cite{OGD}
\abx@aux@segm{0}{0}{OGD}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {3.3}{\ignorespaces Example OGD drawing~\cite {OGD}\relax }}{28}{figure.caption.30}\protected@file@percent }
\newlabel{fig:OGD_example}{{3.3}{28}{Example OGD drawing~\cite {OGD}\relax }{figure.caption.30}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsubsection}{\nonumberline Ortho Algorithm}{28}{subsubsection*.29}\protected@file@percent }
\citation{Walter}
\abx@aux@cite{Walter}
\abx@aux@segm{0}{0}{Walter}
\citation{Walter}
\abx@aux@cite{Walter}
\abx@aux@segm{0}{0}{Walter}
\citation{ortho}
\abx@aux@cite{ortho}
\abx@aux@segm{0}{0}{ortho}
\citation{biedl1998better}
\abx@aux@cite{biedl1998better}
\abx@aux@segm{0}{0}{biedl1998better}
\newlabel{subfig:OGD_sync_a}{{3.4(a)}{29}{Subfigure 3 3.4(a)}{subfigure.3.4.1}{}}
\newlabel{sub@subfig:OGD_sync_a}{{(a)}{29}{Subfigure 3 3.4(a)\relax }{subfigure.3.4.1}{}}
\newlabel{subfig:OGD_sync_b}{{3.4(b)}{29}{Subfigure 3 3.4(b)}{subfigure.3.4.2}{}}
\newlabel{sub@subfig:OGD_sync_b}{{(b)}{29}{Subfigure 3 3.4(b)\relax }{subfigure.3.4.2}{}}
\newlabel{subfig:OGD_sync_c}{{3.4(c)}{29}{Subfigure 3 3.4(c)}{subfigure.3.4.3}{}}
\newlabel{sub@subfig:OGD_sync_c}{{(c)}{29}{Subfigure 3 3.4(c)\relax }{subfigure.3.4.3}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {3.4}{\ignorespaces Insufficient timing constraints of an OGD representation~\cite {Walter}\relax }}{29}{figure.caption.31}\protected@file@percent }
\newlabel{fig:OGD_timing}{{3.4}{29}{Insufficient timing constraints of an OGD representation~\cite {Walter}\relax }{figure.caption.31}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Partial representation of a logic network}}}{29}{figure.caption.31}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {OGD representation of the logic network}}}{29}{figure.caption.31}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(c)}{\ignorespaces {No sufficient clocking for this OGD can be examined}}}{29}{figure.caption.31}\protected@file@percent }
\citation{ortho}
\abx@aux@cite{ortho}
\abx@aux@segm{0}{0}{ortho}
\newlabel{subfig:OGD_color_out}{{3.5(a)}{30}{Subfigure 3 3.5(a)}{subfigure.3.5.1}{}}
\newlabel{sub@subfig:OGD_color_out}{{(a)}{30}{Subfigure 3 3.5(a)\relax }{subfigure.3.5.1}{}}
\newlabel{subfig:OGD_color_in}{{3.5(b)}{30}{Subfigure 3 3.5(b)}{subfigure.3.5.2}{}}
\newlabel{sub@subfig:OGD_color_in}{{(b)}{30}{Subfigure 3 3.5(b)\relax }{subfigure.3.5.2}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {3.5}{\ignorespaces Relative positions of an OGD graph with correct color assinment\relax }}{30}{figure.caption.32}\protected@file@percent }
\newlabel{fig:OGD_color}{{3.5}{30}{Relative positions of an OGD graph with correct color assinment\relax }{figure.caption.32}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Color assignment of incoming signals}}}{30}{figure.caption.32}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Color assignment of outgoing signals}}}{30}{figure.caption.32}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {3.6}{\ignorespaces Logic Network of a 2:1 MUX after fan-out substitution, inverter insertion and coloring\relax }}{31}{figure.caption.33}\protected@file@percent }
\newlabel{fig:mux_LN}{{3.6}{31}{Logic Network of a 2:1 MUX after fan-out substitution, inverter insertion and coloring\relax }{figure.caption.33}{}}
\@writefile{loa}{\defcounter {refsection}{0}\relax }\@writefile{loa}{\contentsline {algorithm}{\numberline {1}{\ignorespaces Ortho algorithm\relax }}{32}{algorithm.1}\protected@file@percent }
\newlabel{alg:ortho}{{1}{32}{Ortho algorithm\relax }{algorithm.1}{}}
\citation{walter2018exact}
\abx@aux@cite{walter2018exact}
\abx@aux@segm{0}{0}{walter2018exact}
\citation{ropper}
\abx@aux@cite{ropper}
\abx@aux@segm{0}{0}{ropper}
\citation{trindade2016placement}
\abx@aux@cite{trindade2016placement}
\abx@aux@segm{0}{0}{trindade2016placement}
\citation{crosstalk}
\abx@aux@cite{crosstalk}
\abx@aux@segm{0}{0}{crosstalk}
\citation{ropper}
\abx@aux@cite{ropper}
\abx@aux@segm{0}{0}{ropper}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsubsection}{\nonumberline Ropper and Migortho}{33}{subsubsection*.36}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {3.7}{\ignorespaces Placement and routing of a 2:1 mux network using the ortho algorithm\relax }}{34}{figure.caption.34}\protected@file@percent }
\newlabel{fig:ortho_mux_21}{{3.7}{34}{Placement and routing of a 2:1 mux network using the ortho algorithm\relax }{figure.caption.34}{}}
\citation{migortho}
\abx@aux@cite{migortho}
\abx@aux@segm{0}{0}{migortho}
\BKM@entry{id=22,dest={73656374696F6E2E332E32},srcline={337}}{5C3337365C3337375C303030445C303030655C303030735C303030695C303030675C3030306E5C3030305C3034305C3030306F5C303030665C3030305C3034305C303030535C303030655C303030715C303030755C303030655C3030306E5C303030745C303030695C303030615C3030306C5C3030305C3034305C303030515C303030435C303030415C3030305C3034305C303030635C303030695C303030725C303030635C303030755C303030695C303030745C30303073}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {3.2}Design of Sequential QCA circuits}{35}{section.3.2}\protected@file@percent }
\BKM@entry{id=23,dest={73756273656374696F6E2E332E322E31},srcline={340}}{5C3337365C3337375C303030535C303030655C303030715C303030755C303030655C3030306E5C303030745C303030695C303030615C3030306C5C3030305C3034305C3030306C5C3030306F5C303030675C303030695C303030635C3030305C3034305C303030695C3030306E5C3030305C3034305C303030515C303030435C30303041}
\citation{sequential_cell_one}
\abx@aux@cite{sequential_cell_one}
\abx@aux@segm{0}{0}{sequential_cell_one}
\citation{sequential_cell_two}
\abx@aux@cite{sequential_cell_two}
\abx@aux@segm{0}{0}{sequential_cell_two}
\citation{dual_edge_triggered_FF_cell}
\abx@aux@cite{dual_edge_triggered_FF_cell}
\abx@aux@segm{0}{0}{dual_edge_triggered_FF_cell}
\citation{sequential_reversible_cell}
\abx@aux@cite{sequential_reversible_cell}
\abx@aux@segm{0}{0}{sequential_reversible_cell}
\citation{sequential_cell_one}
\abx@aux@cite{sequential_cell_one}
\abx@aux@segm{0}{0}{sequential_cell_one}
\citation{sequential_cell_two}
\abx@aux@cite{sequential_cell_two}
\abx@aux@segm{0}{0}{sequential_cell_two}
\citation{dual_edge_triggered_FF_cell}
\abx@aux@cite{dual_edge_triggered_FF_cell}
\abx@aux@segm{0}{0}{dual_edge_triggered_FF_cell}
\citation{sequential_reversible_cell}
\abx@aux@cite{sequential_reversible_cell}
\abx@aux@segm{0}{0}{sequential_reversible_cell}
\citation{USE}
\abx@aux@cite{USE}
\abx@aux@segm{0}{0}{USE}
\citation{walter2018exact}
\abx@aux@cite{walter2018exact}
\abx@aux@segm{0}{0}{walter2018exact}
\citation{sequential_reversible_tile}
\abx@aux@cite{sequential_reversible_tile}
\abx@aux@segm{0}{0}{sequential_reversible_tile}
\citation{sequential_tile_CMOS_alg}
\abx@aux@cite{sequential_tile_CMOS_alg}
\abx@aux@segm{0}{0}{sequential_tile_CMOS_alg}
\citation{torres2018synchronization}
\abx@aux@cite{torres2018synchronization}
\abx@aux@segm{0}{0}{torres2018synchronization}
\citation{torres2018synchronization}
\abx@aux@cite{torres2018synchronization}
\abx@aux@segm{0}{0}{torres2018synchronization}
\BKM@entry{id=24,dest={73756273656374696F6E2E332E322E32},srcline={348}}{5C3337365C3337375C303030515C303030435C303030415C3030305C3034305C303030735C303030745C3030306F5C303030725C303030615C303030675C303030655C3030305C3034305C303030635C303030655C3030306C5C3030306C5C303030735C3030305C3034305C3030305C3035305C303030515C303030435C303030415C3030305C3034305C303030525C303030415C3030304D5C3030305C303531}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {3.2.1}Sequential logic in QCA}{36}{subsection.3.2.1}\protected@file@percent }
\citation{RAM_overview}
\abx@aux@cite{RAM_overview}
\abx@aux@segm{0}{0}{RAM_overview}
\citation{crosstalk}
\abx@aux@cite{crosstalk}
\abx@aux@segm{0}{0}{crosstalk}
\citation{RAM_cell}
\abx@aux@cite{RAM_cell}
\abx@aux@segm{0}{0}{RAM_cell}
\citation{ahmad2018optimal}
\abx@aux@cite{ahmad2018optimal}
\abx@aux@segm{0}{0}{ahmad2018optimal}
\citation{majeed2019optimal}
\abx@aux@cite{majeed2019optimal}
\abx@aux@segm{0}{0}{majeed2019optimal}
\citation{ahmad2018optimal}
\abx@aux@cite{ahmad2018optimal}
\abx@aux@segm{0}{0}{ahmad2018optimal}
\citation{majeed2019optimal}
\abx@aux@cite{majeed2019optimal}
\abx@aux@segm{0}{0}{majeed2019optimal}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {3.2.2}QCA storage cells (QCA RAM)}{37}{subsection.3.2.2}\protected@file@percent }
\newlabel{subsec:RAM_SoA}{{3.2.2}{37}{QCA storage cells (QCA RAM)}{subsection.3.2.2}{}}
\BKM@entry{id=25,dest={636861707465722E34},srcline={1}}{5C3337365C3337375C303030445C303030695C303030735C303030745C303030725C303030695C303030625C303030755C303030745C303030695C3030306F5C3030306E5C3030305C3034305C3030304E5C303030655C303030745C303030775C3030306F5C303030725C3030306B5C303030735C3030305C3034305C303030665C3030306F5C303030725C3030305C3034305C303030535C303030635C303030615C3030306C5C303030615C303030625C3030306C5C303030655C3030305C3034305C303030505C3030305C3034365C30303052}
\BKM@entry{id=26,dest={73656374696F6E2E342E31},srcline={10}}{5C3337365C3337375C3030304F5C303030725C303030645C303030655C303030725C303030695C3030306E5C303030675C3030305C3034305C303030445C303030695C303030735C303030745C303030725C303030695C303030625C303030755C303030745C303030695C3030306F5C3030306E5C3030305C3034305C3030304E5C303030655C303030745C303030775C3030306F5C303030725C3030306B5C3030305C3034305C3030305C3035305C3030304F5C303030445C3030304E5C3030305C303531}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {chapter}{\numberline {4}Distribution Networks for Scalable P\&R}{38}{chapter.4}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\defcounter {refsection}{0}\relax }\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lol}{\defcounter {refsection}{0}\relax }\@writefile{lol}{\addvspace {10\p@ }}
\@writefile{loa}{\defcounter {refsection}{0}\relax }\@writefile{loa}{\addvspace {10\p@ }}
\newlabel{chapter:Methodology}{{4}{38}{Distribution Networks for Scalable P\&R}{chapter.4}{}}
\BKM@entry{id=27,dest={73756273656374696F6E2E342E312E31},srcline={32}}{5C3337365C3337375C3030304F5C303030725C303030645C303030655C303030725C303030695C3030306E5C303030675C3030305C3034305C3030306F5C303030665C3030305C3034305C303030505C303030495C30303073}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {4.1}Ordering Distribution Network (ODN)}{39}{section.4.1}\protected@file@percent }
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {4.1.1}Ordering of PIs}{39}{subsection.4.1.1}\protected@file@percent }
\newlabel{subsec:orderPI}{{4.1.1}{39}{Ordering of PIs}{subsection.4.1.1}{}}
\newlabel{subfig:ortho_mux_21}{{4.1(a)}{40}{Subfigure 4 4.1(a)}{subfigure.4.1.1}{}}
\newlabel{sub@subfig:ortho_mux_21}{{(a)}{40}{Subfigure 4 4.1(a)\relax }{subfigure.4.1.1}{}}
\newlabel{subfig:input_network_mux_21}{{4.1(b)}{40}{Subfigure 4 4.1(b)}{subfigure.4.1.2}{}}
\newlabel{sub@subfig:input_network_mux_21}{{(b)}{40}{Subfigure 4 4.1(b)\relax }{subfigure.4.1.2}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {4.1}{\ignorespaces Comparison of ortho and ortho including ODN\relax }}{40}{figure.caption.37}\protected@file@percent }
\newlabel{fig:input_network_mux_21}{{4.1}{40}{Comparison of ortho and ortho including ODN\relax }{figure.caption.37}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Placement and routing of a 2:1 MUX network using the ortho algorithm}}}{40}{figure.caption.37}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Placement and routing of a 2:1 MUX network using the ortho algorithm with the ODN}}}{40}{figure.caption.37}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {4.2}{\ignorespaces Logic Network of a 2:1 MUX with gates viewed in the ODN\relax }}{41}{figure.caption.38}\protected@file@percent }
\newlabel{fig:mux_LN_in}{{4.2}{41}{Logic Network of a 2:1 MUX with gates viewed in the ODN\relax }{figure.caption.38}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {4.3}{\ignorespaces Scheme of area usage in the layout using the ODN\relax }}{41}{figure.caption.39}\protected@file@percent }
\newlabel{fig:ordering_scheme}{{4.3}{41}{Scheme of area usage in the layout using the ODN\relax }{figure.caption.39}{}}
\BKM@entry{id=28,dest={73756273656374696F6E2E342E312E32},srcline={92}}{5C3337365C3337375C303030435C3030306F5C3030306E5C303030645C303030695C303030745C303030695C3030306F5C3030306E5C303030615C3030306C5C3030305C3034305C303030435C3030306F5C3030306C5C3030306F5C303030725C303030695C3030306E5C30303067}
\BKM@entry{id=29,dest={73756273656374696F6E2E342E312E33},srcline={136}}{5C3337365C3337375C3030304E5C303030655C303030775C3030305C3034305C303030505C3030305C3034365C303030525C3030305C3034305C303030725C303030755C3030306C5C30303065}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {4.1.2}Conditional Coloring}{42}{subsection.4.1.2}\protected@file@percent }
\newlabel{subsec:coco}{{4.1.2}{42}{Conditional Coloring}{subsection.4.1.2}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {4.4}{\ignorespaces Logic Network of a 2:1 MUX with conditional coloring\relax }}{43}{figure.caption.40}\protected@file@percent }
\newlabel{fig:mux_LN_clr}{{4.4}{43}{Logic Network of a 2:1 MUX with conditional coloring\relax }{figure.caption.40}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {4.1.3}New P\&R rule}{43}{subsection.4.1.3}\protected@file@percent }
\newlabel{subsec:prrule}{{4.1.3}{43}{New P\&R rule}{subsection.4.1.3}{}}
\BKM@entry{id=30,dest={73756273656374696F6E2E342E312E34},srcline={161}}{5C3337365C3337375C303030495C3030306E5C303030765C303030655C303030725C303030745C303030655C303030725C3030305C3034305C303030425C303030615C3030306C5C303030615C3030306E5C303030635C303030695C3030306E5C30303067}
\newlabel{subfig:south_scheme}{{4.5(a)}{44}{Subfigure 4 4.5(a)}{subfigure.4.5.1}{}}
\newlabel{sub@subfig:south_scheme}{{(a)}{44}{Subfigure 4 4.5(a)\relax }{subfigure.4.5.1}{}}
\newlabel{subfig:new_south_scheme}{{4.5(b)}{44}{Subfigure 4 4.5(b)}{subfigure.4.5.2}{}}
\newlabel{sub@subfig:new_south_scheme}{{(b)}{44}{Subfigure 4 4.5(b)\relax }{subfigure.4.5.2}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {4.5}{\ignorespaces Schematic representation of rules when placing nodes colored $south$\relax }}{44}{figure.caption.41}\protected@file@percent }
\newlabel{fig:south_schemes}{{4.5}{44}{Schematic representation of rules when placing nodes colored $south$\relax }{figure.caption.41}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Placement rule of ortho}}}{44}{figure.caption.41}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Placement rule introduced with ODN}}}{44}{figure.caption.41}\protected@file@percent }
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {4.1.4}Inverter Balancing}{44}{subsection.4.1.4}\protected@file@percent }
\newlabel{subsec:invblc}{{4.1.4}{44}{Inverter Balancing}{subsection.4.1.4}{}}
\BKM@entry{id=31,dest={73656374696F6E2E342E32},srcline={200}}{5C3337365C3337375C3030304D5C303030615C3030306A5C3030306F5C303030725C303030695C303030745C303030795C3030305C3034305C303030475C303030615C303030745C303030655C3030305C3034305C303030445C303030695C303030735C303030745C303030725C303030695C303030625C303030755C303030745C303030695C3030306F5C3030306E5C3030305C3034305C3030304E5C303030655C303030745C303030775C3030306F5C303030725C3030306B5C3030305C3034305C3030305C3035305C3030304D5C303030475C303030445C3030304E5C3030305C303531}
\@writefile{loa}{\defcounter {refsection}{0}\relax }\@writefile{loa}{\contentsline {algorithm}{\numberline {2}{\ignorespaces Ortho changes with the ODN\relax }}{45}{algorithm.2}\protected@file@percent }
\newlabel{alg:input_network}{{2}{45}{Ortho changes with the ODN\relax }{algorithm.2}{}}
\BKM@entry{id=32,dest={73756273656374696F6E2E342E322E31},srcline={203}}{5C3337365C3337375C303030545C303030685C303030655C3030305C3034305C303030705C303030725C3030306F5C303030705C3030306F5C303030735C303030655C303030645C3030305C3034305C303030735C303030695C303030675C3030306E5C303030615C3030306C5C3030305C3034305C303030445C303030695C303030735C303030745C303030725C303030695C303030625C303030755C303030745C303030695C3030306F5C3030306E5C3030305C3034305C3030304E5C303030655C303030745C303030775C3030306F5C303030725C3030306B}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {4.6}{\ignorespaces Global sychronization violation when connecting 2DD-Wave and RES clocked scheme\relax }}{46}{figure.caption.42}\protected@file@percent }
\newlabel{fig:Timing_failure_RES}{{4.6}{46}{Global sychronization violation when connecting 2DD-Wave and RES clocked scheme\relax }{figure.caption.42}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {4.2}Majority Gate Distribution Network (MGDN)}{46}{section.4.2}\protected@file@percent }
\newlabel{sec:majgatedisnet}{{4.2}{46}{Majority Gate Distribution Network (MGDN)}{section.4.2}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {4.2.1}The proposed signal Distribution Network}{46}{subsection.4.2.1}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {4.7}{\ignorespaces Proposed MGDN\relax }}{48}{figure.caption.43}\protected@file@percent }
\newlabel{fig:QCA_Maj_nw}{{4.7}{48}{Proposed MGDN\relax }{figure.caption.43}{}}
\BKM@entry{id=33,dest={73756273656374696F6E2E342E322E32},srcline={227}}{5C3337365C3337375C303030505C3030306C5C303030615C303030635C303030655C3030306D5C303030655C3030306E5C303030745C3030305C3034305C303030615C3030306E5C303030645C3030305C3034305C303030625C303030615C303030735C303030695C303030635C3030305C3034305C303030725C3030306F5C303030755C303030745C303030695C3030306E5C30303067}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {4.2.2}Placement and basic routing}{49}{subsection.4.2.2}\protected@file@percent }
\BKM@entry{id=34,dest={73756273656374696F6E2E342E322E33},srcline={254}}{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}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {4.8}{\ignorespaces Scheme of the P\&R using the MGDN\relax }}{50}{figure.caption.44}\protected@file@percent }
\newlabel{fig:majority_scheme}{{4.8}{50}{Scheme of the P\&R using the MGDN\relax }{figure.caption.44}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {4.2.3}Routing with signal synchronization and buffer insertion}{50}{subsection.4.2.3}\protected@file@percent }
\citation{QCA_scl}
\abx@aux@cite{QCA_scl}
\abx@aux@segm{0}{0}{QCA_scl}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {4.9}{\ignorespaces Buffer in $east$ direction with respective clocking\relax }}{51}{figure.caption.45}\protected@file@percent }
\newlabel{fig:QCA_buf}{{4.9}{51}{Buffer in $east$ direction with respective clocking\relax }{figure.caption.45}{}}
\BKM@entry{id=35,dest={73656374696F6E2E342E33},srcline={432}}{5C3337365C3337375C303030535C303030655C303030715C303030755C303030655C3030306E5C303030745C303030695C303030615C3030306C5C3030305C3034305C303030445C303030695C303030735C303030745C303030725C303030695C303030625C303030755C303030745C303030695C3030306F5C3030306E5C3030305C3034305C3030304E5C303030655C303030745C303030775C3030306F5C303030725C3030306B5C3030305C3034305C3030305C3035305C303030535C303030445C3030304E5C3030305C303531}
\citation{torres2018synchronization}
\abx@aux@cite{torres2018synchronization}
\abx@aux@segm{0}{0}{torres2018synchronization}
\@writefile{loa}{\defcounter {refsection}{0}\relax }\@writefile{loa}{\contentsline {algorithm}{\numberline {3}{\ignorespaces Ortho changes with MGDN\relax }}{52}{algorithm.3}\protected@file@percent }
\newlabel{alg:majority_network}{{3}{52}{Ortho changes with MGDN\relax }{algorithm.3}{}}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {4.10}{\ignorespaces Placement and routing of a majority gate in conjunction with a delayed PI\relax }}{53}{figure.caption.46}\protected@file@percent }
\newlabel{fig:majority_with_buf}{{4.10}{53}{Placement and routing of a majority gate in conjunction with a delayed PI\relax }{figure.caption.46}{}}
\BKM@entry{id=36,dest={73756273656374696F6E2E342E332E31},srcline={435}}{5C3337365C3337375C303030505C3030306C5C303030615C303030635C303030655C3030306D5C303030655C3030306E5C303030745C3030305C3034305C303030615C3030306E5C303030645C3030305C3034305C303030525C3030306F5C303030755C303030745C303030695C3030306E5C30303067}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {4.3}Sequential Distribution Network (SDN)}{54}{section.4.3}\protected@file@percent }
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {4.3.1}Placement and Routing}{54}{subsection.4.3.1}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {4.11}{\ignorespaces Scheme of a sequential circuit layout after placement and routing\relax }}{55}{figure.caption.47}\protected@file@percent }
\newlabel{fig:sequential_gate_sample}{{4.11}{55}{Scheme of a sequential circuit layout after placement and routing\relax }{figure.caption.47}{}}
\@writefile{loa}{\defcounter {refsection}{0}\relax }\@writefile{loa}{\contentsline {algorithm}{\numberline {4}{\ignorespaces Ortho changes with SDN\relax }}{56}{algorithm.4}\protected@file@percent }
\newlabel{alg:seq_network}{{4}{56}{Ortho changes with SDN\relax }{algorithm.4}{}}
\BKM@entry{id=37,dest={73756273656374696F6E2E342E332E32},srcline={507}}{5C3337365C3337375C303030525C303030415C3030304D5C3030305C3034305C303030635C303030655C3030306C5C3030306C}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\contentsline {figure}{\numberline {4.12}{\ignorespaces QCA RAM cell designed using 2:1 MUX with a SDN\relax }}{57}{figure.caption.48}\protected@file@percent }
\newlabel{fig:QCA_RAM}{{4.12}{57}{QCA RAM cell designed using 2:1 MUX with a SDN\relax }{figure.caption.48}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {4.3.2}RAM cell}{57}{subsection.4.3.2}\protected@file@percent }
\BKM@entry{id=38,dest={636861707465722E35},srcline={1}}{5C3337365C3337375C303030455C303030785C303030705C303030655C303030725C303030695C3030306D5C303030655C3030306E5C303030745C303030615C3030306C5C3030305C3034305C303030455C303030765C303030615C3030306C5C303030755C303030615C303030745C303030695C3030306F5C3030306E}
\BKM@entry{id=39,dest={73656374696F6E2E352E31},srcline={7}}{5C3337365C3337375C303030425C303030655C3030306E5C303030635C303030685C3030306D5C303030615C303030725C3030306B5C30303073}
\citation{fontes}
\abx@aux@cite{fontes}
\abx@aux@segm{0}{0}{fontes}
\citation{trindade2016placement}
\abx@aux@cite{trindade2016placement}
\abx@aux@segm{0}{0}{trindade2016placement}
\citation{epfl}
\abx@aux@cite{epfl}
\abx@aux@segm{0}{0}{epfl}
\citation{iscas}
\abx@aux@cite{iscas}
\abx@aux@segm{0}{0}{iscas}
\citation{ortho}
\abx@aux@cite{ortho}
\abx@aux@segm{0}{0}{ortho}
\citation{itc_poli}
\abx@aux@cite{itc_poli}
\abx@aux@segm{0}{0}{itc_poli}
\BKM@entry{id=40,dest={73656374696F6E2E352E32},srcline={14}}{5C3337365C3337375C303030525C303030655C303030735C303030755C3030306C5C303030745C30303073}
\BKM@entry{id=41,dest={73756273656374696F6E2E352E322E31},srcline={17}}{5C3337365C3337375C3030304F5C303030725C303030645C303030655C303030725C303030695C3030306E5C303030675C3030305C3034305C303030445C303030695C303030735C303030745C303030725C303030695C303030625C303030755C303030745C303030695C3030306F5C3030306E5C3030305C3034305C3030304E5C303030655C303030745C303030775C3030306F5C303030725C3030306B}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {chapter}{\numberline {5}Experimental Evaluation}{58}{chapter.5}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\defcounter {refsection}{0}\relax }\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lol}{\defcounter {refsection}{0}\relax }\@writefile{lol}{\addvspace {10\p@ }}
\@writefile{loa}{\defcounter {refsection}{0}\relax }\@writefile{loa}{\addvspace {10\p@ }}
\newlabel{chapter:ExpEval}{{5}{58}{Experimental Evaluation}{chapter.5}{}}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {5.1}Benchmarks}{58}{section.5.1}\protected@file@percent }
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {section}{\numberline {5.2}Results}{58}{section.5.2}\protected@file@percent }
\citation{trindade2016placement}
\abx@aux@cite{trindade2016placement}
\abx@aux@segm{0}{0}{trindade2016placement}
\citation{fontes}
\abx@aux@cite{fontes}
\abx@aux@segm{0}{0}{fontes}
\citation{iscas}
\abx@aux@cite{iscas}
\abx@aux@segm{0}{0}{iscas}
\citation{epfl}
\abx@aux@cite{epfl}
\abx@aux@segm{0}{0}{epfl}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {5.2.1}Ordering Distribution Network}{59}{subsection.5.2.1}\protected@file@percent }
\newlabel{RF1}{60}
\newlabel{tab:addlabel}{{\caption@xref {tab:addlabel}{ on input line 58}}{60}{Ordering Distribution Network}{table.caption.49}{}}
\newlabel{RF2}{61}
\@writefile{lot}{\defcounter {refsection}{0}\relax }\@writefile{lot}{\contentsline {table}{\numberline {5.1}{\ignorespaces I/O number of primary inputs/outputs, $|G|$ number of logic network nodes (gates + fan-outs), $w \times h$ aspect ratio given in tiles, $|WC|$ number wire crossings, $|W|$ number of wires, $t$ in s runtime in seconds, OOM maximum RAM reached, ---no data available\relax }}{61}{table.caption.50}\protected@file@percent }
\newlabel{tab:ordering_exp}{{5.1}{61}{I/O number of primary inputs/outputs, $|G|$ number of logic network nodes (gates + fan-outs), $w \times h$ aspect ratio given in tiles, $|WC|$ number wire crossings, $|W|$ number of wires, $t$ in s runtime in seconds, OOM maximum RAM reached, ---no data available\relax }{table.caption.50}{}}
\BKM@entry{id=42,dest={73756273656374696F6E2E352E322E32},srcline={90}}{5C3337365C3337375C3030304D5C303030615C3030306A5C3030306F5C303030725C303030695C303030745C303030795C3030305C3034305C303030475C303030615C303030745C303030655C303030735C3030305C3034305C303030445C303030695C303030735C303030745C303030725C303030695C303030625C303030755C303030745C303030695C3030306F5C3030306E5C3030305C3034305C3030304E5C303030655C303030745C303030775C3030306F5C303030725C3030306B}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {5.2.2}Majority Gates Distribution Network}{62}{subsection.5.2.2}\protected@file@percent }
\newlabel{RF3}{63}
\@writefile{lot}{\defcounter {refsection}{0}\relax }\@writefile{lot}{\contentsline {table}{\numberline {5.2}{\ignorespaces I/O number of primary inputs/outputs, $|N|$ number of gates before preprocessing, $|M|$ number of majority gates, $|G|$ number of logic network nodes (gates + fan-outs), $w \times h$ aspect ratio given in tiles, $|WC|$ number wire crossings, $|W|$ number of wires, $t$ in s runtime in seconds, OOM maximum RAM reached, ---no data available\relax }}{63}{table.caption.51}\protected@file@percent }
\newlabel{tab:maj_exp}{{5.2}{63}{I/O number of primary inputs/outputs, $|N|$ number of gates before preprocessing, $|M|$ number of majority gates, $|G|$ number of logic network nodes (gates + fan-outs), $w \times h$ aspect ratio given in tiles, $|WC|$ number wire crossings, $|W|$ number of wires, $t$ in s runtime in seconds, OOM maximum RAM reached, ---no data available\relax }{table.caption.51}{}}
\BKM@entry{id=43,dest={73756273656374696F6E2E352E322E33},srcline={124}}{5C3337365C3337375C303030535C303030655C303030715C303030755C303030655C3030306E5C303030745C303030695C303030615C3030306C5C3030305C3034305C303030445C303030695C303030735C303030745C303030725C303030695C303030625C303030755C303030745C303030695C3030306F5C3030306E5C3030305C3034305C3030304E5C303030655C303030745C303030775C3030306F5C303030725C3030306B}
\citation{itc_poli}
\abx@aux@cite{itc_poli}
\abx@aux@segm{0}{0}{itc_poli}
\citation{itc_poli}
\abx@aux@cite{itc_poli}
\abx@aux@segm{0}{0}{itc_poli}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {subsection}{\numberline {5.2.3}Sequential Distribution Network}{64}{subsection.5.2.3}\protected@file@percent }
\newlabel{RF4}{65}
\@writefile{lot}{\defcounter {refsection}{0}\relax }\@writefile{lot}{\contentsline {table}{\numberline {5.3}{\ignorespaces I/O number of primary inputs/outputs, $|R|$ number of registers (D-flipflops), $|G|$ number of logic network nodes (gates + fan-outs), $w \times h$ aspect ratio given in tiles, $t$ in s runtime in seconds, OOM maximum RAM reached, ---no data available\relax }}{65}{table.caption.52}\protected@file@percent }
\newlabel{tab:seq_exp}{{5.3}{65}{I/O number of primary inputs/outputs, $|R|$ number of registers (D-flipflops), $|G|$ number of logic network nodes (gates + fan-outs), $w \times h$ aspect ratio given in tiles, $t$ in s runtime in seconds, OOM maximum RAM reached, ---no data available\relax }{table.caption.52}{}}
\BKM@entry{id=44,dest={636861707465722E36},srcline={1}}{5C3337365C3337375C303030435C3030306F5C3030306E5C303030635C3030306C5C303030755C303030735C303030695C3030306F5C3030306E}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {chapter}{\numberline {6}Conclusion}{66}{chapter.6}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\defcounter {refsection}{0}\relax }\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lol}{\defcounter {refsection}{0}\relax }\@writefile{lol}{\addvspace {10\p@ }}
\@writefile{loa}{\defcounter {refsection}{0}\relax }\@writefile{loa}{\addvspace {10\p@ }}
\BKM@entry{id=45,dest={636861707465722A2E3533},srcline={53}}{5C3337365C3337375C3030304C5C303030695C303030735C303030745C3030305C3034305C3030306F5C303030665C3030305C3034305C303030465C303030695C303030675C303030755C303030725C303030655C30303073}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {chapter}{\nonumberline List of Figures}{67}{chapter*.53}\protected@file@percent }
\BKM@entry{id=46,dest={636861707465722A2E3534},srcline={54}}{5C3337365C3337375C3030304C5C303030695C303030735C303030745C3030305C3034305C3030306F5C303030665C3030305C3034305C303030545C303030615C303030625C3030306C5C303030655C30303073}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {chapter}{\nonumberline List of Tables}{69}{chapter*.54}\protected@file@percent }
\BKM@entry{id=47,dest={636861707465722A2E3535},srcline={56}}{5C3337365C3337375C303030425C303030695C303030625C3030306C5C303030695C3030306F5C303030675C303030725C303030615C303030705C303030685C30303079}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\contentsline {chapter}{\nonumberline Bibliography}{70}{chapter*.55}\protected@file@percent }
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\defcounter {refsection}{0}\relax }\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{lol}{\defcounter {refsection}{0}\relax }\@writefile{lol}{\addvspace {10\p@ }}
\@writefile{loa}{\defcounter {refsection}{0}\relax }\@writefile{loa}{\addvspace {10\p@ }}
\abx@aux@read@bbl@mdfivesum{5F8C7A21FCE367FC2D79B61402059126}
\abx@aux@refcontextdefaultsdone
\abx@aux@defaultrefcontext{0}{SMT}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{ahmad2018optimal}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{epfl}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{boolean_abstraction}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{bandyopadhyay2019design}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{QCA_technology}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{sequential_tile_CMOS_alg}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{biedl1998better}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{blair2003architecture}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{iscas}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{LogicNetwork}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{dummy_and_buffer_nodes}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{USE}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{RAM_overview}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{node_duplication}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{OGD}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{fontes}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{ropper}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{multi_lyer_wire_crossing}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{RES}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{Boolean_def}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{halmos2009introduction}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{hawkins2012cmos}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{HuntingtonCorrection}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{HuntingtonPostulate}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{DeMorgans_laws}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{migortho}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{kahng2011vlsi}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{keyes1970minimal}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{majorityrotated}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{landauer1961irreversibility}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{lent2006bennett}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{lent1997device}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{lent1994quantum}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{challenges_1}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{sequential_cell_one}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{SingelElectronFaults}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{majeed2019optimal}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{Bennet_waveform}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{mohammadi2016efficient}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{sequential_reversible_tile}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{orlov2008magnetic}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{peng2020spars}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{perri2012new}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{canonical}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{QCA_scl}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{sequential_cell_two}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{retallick2020population}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{safoev2020design}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{Sasamal2020QuantumDotCA}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{Moores_Law}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{Quantum_dots}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{muti_output_boolean_function}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{Inverter_displacements}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{sen2015towards}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{dual_edge_triggered_FF_cell}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{RAM_cell}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{taucer2015consequences}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{QCA-LG}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{sequential_reversible_cell}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{itc_poli}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{torres2018synchronization}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{challenges_2}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{trindade2016placement}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{turvani2014physical}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{2DD}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{Walter}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{walter2021one}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{walter2018exact}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{NP-hard}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{ortho}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{crosstalk}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{challenges_3}{nty/global//global/global}
\abx@aux@defaultrefcontext{0}{CNF}{nty/global//global/global}
\abx@aux@defaultlabelprefix{0}{SMT}{}
\abx@aux@defaultlabelprefix{0}{ahmad2018optimal}{}
\abx@aux@defaultlabelprefix{0}{epfl}{}
\abx@aux@defaultlabelprefix{0}{boolean_abstraction}{}
\abx@aux@defaultlabelprefix{0}{bandyopadhyay2019design}{}
\abx@aux@defaultlabelprefix{0}{QCA_technology}{}
\abx@aux@defaultlabelprefix{0}{sequential_tile_CMOS_alg}{}
\abx@aux@defaultlabelprefix{0}{biedl1998better}{}
\abx@aux@defaultlabelprefix{0}{blair2003architecture}{}
\abx@aux@defaultlabelprefix{0}{iscas}{}
\abx@aux@defaultlabelprefix{0}{LogicNetwork}{}
\abx@aux@defaultlabelprefix{0}{dummy_and_buffer_nodes}{}
\abx@aux@defaultlabelprefix{0}{USE}{}
\abx@aux@defaultlabelprefix{0}{RAM_overview}{}
\abx@aux@defaultlabelprefix{0}{node_duplication}{}
\abx@aux@defaultlabelprefix{0}{OGD}{}
\abx@aux@defaultlabelprefix{0}{fontes}{}
\abx@aux@defaultlabelprefix{0}{ropper}{}
\abx@aux@defaultlabelprefix{0}{multi_lyer_wire_crossing}{}
\abx@aux@defaultlabelprefix{0}{RES}{}
\abx@aux@defaultlabelprefix{0}{Boolean_def}{}
\abx@aux@defaultlabelprefix{0}{halmos2009introduction}{}
\abx@aux@defaultlabelprefix{0}{hawkins2012cmos}{}
\abx@aux@defaultlabelprefix{0}{HuntingtonCorrection}{}
\abx@aux@defaultlabelprefix{0}{HuntingtonPostulate}{}
\abx@aux@defaultlabelprefix{0}{DeMorgans_laws}{}
\abx@aux@defaultlabelprefix{0}{migortho}{}
\abx@aux@defaultlabelprefix{0}{kahng2011vlsi}{}
\abx@aux@defaultlabelprefix{0}{keyes1970minimal}{}
\abx@aux@defaultlabelprefix{0}{majorityrotated}{}
\abx@aux@defaultlabelprefix{0}{landauer1961irreversibility}{}
\abx@aux@defaultlabelprefix{0}{lent2006bennett}{}
\abx@aux@defaultlabelprefix{0}{lent1997device}{}
\abx@aux@defaultlabelprefix{0}{lent1994quantum}{}
\abx@aux@defaultlabelprefix{0}{challenges_1}{}
\abx@aux@defaultlabelprefix{0}{sequential_cell_one}{}
\abx@aux@defaultlabelprefix{0}{SingelElectronFaults}{}
\abx@aux@defaultlabelprefix{0}{majeed2019optimal}{}
\abx@aux@defaultlabelprefix{0}{Bennet_waveform}{}
\abx@aux@defaultlabelprefix{0}{mohammadi2016efficient}{}
\abx@aux@defaultlabelprefix{0}{sequential_reversible_tile}{}
\abx@aux@defaultlabelprefix{0}{orlov2008magnetic}{}
\abx@aux@defaultlabelprefix{0}{peng2020spars}{}
\abx@aux@defaultlabelprefix{0}{perri2012new}{}
\abx@aux@defaultlabelprefix{0}{canonical}{}
\abx@aux@defaultlabelprefix{0}{QCA_scl}{}
\abx@aux@defaultlabelprefix{0}{sequential_cell_two}{}
\abx@aux@defaultlabelprefix{0}{retallick2020population}{}
\abx@aux@defaultlabelprefix{0}{safoev2020design}{}
\abx@aux@defaultlabelprefix{0}{Sasamal2020QuantumDotCA}{}
\abx@aux@defaultlabelprefix{0}{Moores_Law}{}
\abx@aux@defaultlabelprefix{0}{Quantum_dots}{}
\abx@aux@defaultlabelprefix{0}{muti_output_boolean_function}{}
\abx@aux@defaultlabelprefix{0}{Inverter_displacements}{}
\abx@aux@defaultlabelprefix{0}{sen2015towards}{}
\abx@aux@defaultlabelprefix{0}{dual_edge_triggered_FF_cell}{}
\abx@aux@defaultlabelprefix{0}{RAM_cell}{}
\abx@aux@defaultlabelprefix{0}{taucer2015consequences}{}
\abx@aux@defaultlabelprefix{0}{QCA-LG}{}
\abx@aux@defaultlabelprefix{0}{sequential_reversible_cell}{}
\abx@aux@defaultlabelprefix{0}{itc_poli}{}
\abx@aux@defaultlabelprefix{0}{torres2018synchronization}{}
\abx@aux@defaultlabelprefix{0}{challenges_2}{}
\abx@aux@defaultlabelprefix{0}{trindade2016placement}{}
\abx@aux@defaultlabelprefix{0}{turvani2014physical}{}
\abx@aux@defaultlabelprefix{0}{2DD}{}
\abx@aux@defaultlabelprefix{0}{Walter}{}
\abx@aux@defaultlabelprefix{0}{walter2021one}{}
\abx@aux@defaultlabelprefix{0}{walter2018exact}{}
\abx@aux@defaultlabelprefix{0}{NP-hard}{}
\abx@aux@defaultlabelprefix{0}{ortho}{}
\abx@aux@defaultlabelprefix{0}{crosstalk}{}
\abx@aux@defaultlabelprefix{0}{challenges_3}{}
\abx@aux@defaultlabelprefix{0}{CNF}{}
\global\@namedef{scr@dte@chapter@lastmaxnumwidth}{9.85492pt}
\global\@namedef{scr@dte@section@lastmaxnumwidth}{18.0674pt}
\global\@namedef{scr@dte@subsection@lastmaxnumwidth}{26.27988pt}
\global\@namedef{scr@dte@table@lastmaxnumwidth}{18.0674pt}
\global\@namedef{scr@dte@figure@lastmaxnumwidth}{23.54239pt}
\@writefile{toc}{\defcounter {refsection}{0}\relax }\@writefile{toc}{\providecommand\tocbasic@end@toc@file{}\tocbasic@end@toc@file}
\@writefile{lof}{\defcounter {refsection}{0}\relax }\@writefile{lof}{\providecommand\tocbasic@end@toc@file{}\tocbasic@end@toc@file}
\@writefile{lot}{\defcounter {refsection}{0}\relax }\@writefile{lot}{\providecommand\tocbasic@end@toc@file{}\tocbasic@end@toc@file}
\gdef \@abspage@last{81}