\relax \@writefile{toc}{\contentsline {section}{\numberline {4}Quantum verses classical physics}{20}}\newlabel{s:qvc}{{4}{20}}\newlabel{Sch}{{21}{20}}\@writefile{toc}{\contentsline {subsection}{\numberline {4.1}EPR paradox, Bell's inequality}{21}}\newlabel{s:EPR}{{4.1}{21}}\@writefile{toc}{\contentsline {section}{\numberline {5}Quantum Information}{22}}\@writefile{toc}{\contentsline {subsection}{\numberline {5.1}Qubits}{22}}\@writefile{toc}{\contentsline {subsection}{\numberline {5.2}Quantum gates}{22}}\newlabel{cnot}{{28}{23}}\@writefile{toc}{\contentsline {subsection}{\numberline {5.3}No cloning}{23}}\@writefile{toc}{\contentsline {subsection}{\numberline {5.4}Dense coding}{24}}\@writefile{toc}{\contentsline {subsection}{\numberline {5.5}Quantum teleportation}{25}}\@writefile{toc}{\contentsline {subsection}{\numberline {5.6}Quantum data compression}{25}}\newlabel{s:qdc}{{5.6}{25}}\@writefile{toc}{\contentsline {subsection}{\numberline {5.7}Quantum cryptography}{26}}\@writefile{toc}{\contentsline {section}{\numberline {6}The universal quantum computer}{27}}\newlabel{s:uqc}{{6}{27}}\@writefile{toc}{\contentsline {subsection}{\numberline {6.1}Universal gate}{28}}\newlabel{V}{{33}{28}}\@writefile{toc}{\contentsline {subsection}{\numberline {6.2}Church-Turing principle}{28}}\@writefile{toc}{\contentsline {section}{\numberline {7}Quantum algorithms}{29}}\newlabel{s:qa}{{7}{29}}\@writefile{toc}{\contentsline {subsection}{\numberline {7.1}Simulation of physical systems}{29}}\@writefile{toc}{\contentsline {subsection}{\numberline {7.2}Period finding and Shor's factorisation algorithm}{29}}\newlabel{step1}{{34}{30}}\newlabel{step2}{{35}{30}}\newlabel{step3}{{36}{30}}\newlabel{step4}{{38}{31}}\@writefile{toc}{\contentsline {subsection}{\numberline {7.3}Grover's search algorithm}{32}}\newlabel{UG}{{41}{32}}\@setckpt{qc1}{\setcounter{page}{34}\setcounter{equation}{41}\setcounter{enumi}{4}\setcounter{enumii}{0}\setcounter{enumiii}{0}\setcounter{enumiv}{0}\setcounter{footnote}{9}\setcounter{mpfootnote}{0}\setcounter{part}{0}\setcounter{section}{7}\setcounter{subsection}{3}\setcounter{subsubsection}{0}\setcounter{paragraph}{0}\setcounter{subparagraph}{0}\setcounter{figure}{0}\setcounter{table}{0}}