Nachbereitung 2.1.2020

20200102/README.md

+Spezial-Vorlesung am 2.1.2020: Quantencomputer
+==============================================
+
+Die Sicherheit aktueller Verschlüsselungsverfahren beruht auf der
+Schwierigkeit, bestimmte mathematische Probleme zu lösen (Beispiel:
+RSA-Verfahren – Primfaktorzerlegung).
+
+Im September 2019 meldete Google einen Durchbruch beim Bau eines
+_Quantencomputers_.  Mit Hilfe derartiger Systeme lassen sich die
+o.a. mathematischen Probleme in erheblich kürzerer Zeit lösen.
+Dies stellt die weltweite Datensicherheit in Frage.
+
+Dieser Vortrag soll beleuchten, wie Quantencomputer grundsätzlich
+funktionieren und skizzieren, auf welche Weise man damit aktuelle
+Verschlüsselungsverfahren (am Beispiel des RSA-Verfahrens) brechen
+kann. Desweiteren wird darauf eingegangen, welche Rollen
+Datensicherheit und Datenschutz in unserem Alltag spielen.
+
+Vorkenntnisse: Vektorrechnung, komplexe Zahlen  
+Uhrzeit und Raum: 15:45 bis ca. 17:15 Uhr, Seminarraum 3-30  
+Im Anschluß laden wir ein zu einer Diskussions- und Fragestunde.

20200102/landau-symbols-2.pdf

+../common/landau-symbols-2.pdf
\ No newline at end of file

20200102/landau-symbols-3.pdf

+../common/landau-symbols-3.pdf
\ No newline at end of file

20200102/landau-symbols.pdf

+../common/landau-symbols.pdf
\ No newline at end of file

20200102/pgslides.sty

+% pgslides.sty - LaTeX Settings for Lecture Slides
+% Copyright (C) 2012, 2013  Peter Gerwinski
+%
+% This document is free software: you can redistribute it and/or
+% modify it either under the terms of the Creative Commons
+% Attribution-ShareAlike 3.0 License, or under the terms of the
+% GNU General Public License as published by the Free Software
+% Foundation, either version 3 of the License, or (at your option)
+% any later version.
+%
+% This document is distributed in the hope that it will be useful,
+% but WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+% GNU General Public License for more details.
+%
+% You should have received a copy of the GNU General Public License
+% along with this document.  If not, see <http://www.gnu.org/licenses/>.
+%
+% You should have received a copy of the Creative Commons
+% Attribution-ShareAlike 3.0 Unported License along with this
+% document.  If not, see <http://creativecommons.org/licenses/>.
+
+\usepackage{amsfonts}
+\usepackage[british,german]{babel}  % Yes, really "german" and not "ngerman".
+\usepackage[utf8]{luainputenc}  % Without this, umlauts are broken. Weird.
+\usepackage{microtype}
+\usepackage[T1]{fontenc}
+%\usepackage{times}
+\usepackage{helvet}
+\renewcommand*\familydefault{\sfdefault}
+\usepackage{graphicx}
+\usepackage{pstricks}
+
+\hypersetup{colorlinks,allcolors=blue}
+
+%% @@@ Not necessary for slides. Why???
+%% Repair kerning: Automatically insert "\kern{-0.15em}" between "//" % (in URLs).
+%\directlua{
+%  local glyph = node.id ("glyph")
+%  local function my_kerning (head)
+%    for t in node.traverse (head) do
+%      if t.id == glyph and t.char == 47 then
+%        if t.next
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+%           and t.next.next.id == glyph
+%           and t.next.next.char == 47 then
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+%          k.kern = tex.sp ("-0.15em")
+%          k.next = t.next
+%          k.prev = t
+%          t.next.prev = k
+%          t.next = k
+%        end
+%      end
+%    end
+%    node.kerning (head)
+%  end
+%  luatexbase.add_to_callback ("kerning", my_kerning, "URL kerning")
+%}
+
+\usetheme{default}
+\usefonttheme{structurebold}
+\setbeamertemplate{navigation symbols}{}
+\setbeamersize{text margin left = 0.3cm, text margin right = 0.2cm}
+\setbeamertemplate{itemize item}{$\bullet$}
+\setbeamertemplate{itemize subitem}{--}
+\setbeamerfont{itemize/enumerate subbody}{size=\normalsize}
+\setbeamerfont{itemize/enumerate subsubbody}{size=\normalsize}
+\setbeamercolor{footline}{fg=gray}
+
+\newcommand{\sep}{~$\cdot$~}
+
+\newif\ifminimalistic
+\minimalistictrue
+
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+  \makebox(0,0)[tr]{\includegraphics[scale=0.5]{logo-hochschule-bochum.pdf}}%
+}
+
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+  \leavevmode
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+      \raisebox{-30pt}{\rule{0pt}{1pt}}%
+    \fi
+  }%
+  \vskip0pt%
+}
+
+\iffalse
+  \setbeamertemplate{footline}{}
+\else
+  \setbeamertemplate{footline}{%
+    \leavevmode
+    \hbox to \textwidth{%
+      \usebeamercolor{footline}%
+      \usebeamerfont{footline}%
+      \ifminimalistic
+        \strut\hfill
+      \else
+        \,\insertshorttitle\sep
+        \insertshortauthor\sep
+        \insertshortinstitute\sep
+        \insertshortdate\hfill
+      \fi
+      \insertframenumber/\inserttotalframenumber
+      %Folie\,\insertframenumber\sep Seite\,\insertpagenumber\,
+    }%
+    \vskip0pt%
+  }
+\fi
+
+\newcommand{\maketitleframe}{%
+  \ifminimalistic
+    \begin{frame}[t,plain]
+      \insertinstitute
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+        \insertdate
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+    \end{frame}
+  \else
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+      \vfill
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+        {\LARGE\color{structure}\inserttitle\par}\bigskip\bigskip
+        {\large \insertauthor\par}\bigskip\medskip
+        \insertdate
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+      \vfill
+    \end{frame}
+  \fi
+}
+
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+\definecolor{orange}{rgb}{1.0,0.5,0.0}
+\definecolor{darkgray}{rgb}{0.4,0.4,0.4}
+
+\newenvironment{experts}{\color{darkgray}}{}
+
+\usepackage{listings}
+\lstset{basicstyle=\color{structure},
+        language=C,
+        captionpos=b,
+        gobble=4,
+        columns=fullflexible,
+        aboveskip=0pt,
+        belowskip=0pt,
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+        moredelim=**[is][\only<7->{\color{structure}}]{æ}{¿},
+        moredelim=**[is][\only<8->{\color{structure}}]{ø}{¿}}
+\lstdefinestyle{terminal}{basicstyle=\ttfamily\color{darkgreen},
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+                          columns=fixed,
+                          moredelim=**[is][\color{red}]{¡}{¿},
+                          moredelim=**[is][\color{blendedblue}]{°}{¿},
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+\lstdefinestyle{cmd}{basicstyle=\ttfamily\color{red},
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+                     columns=fixed,
+                     moredelim=**[is][\color{darkgreen}]{¡}{¿},
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+\lstdefinestyle{shy}{basicstyle=\color{lightgray}}
+
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+\renewcommand\bottomfraction{0.7}
+\setcounter{totalnumber}{5}
+\renewcommand\textfraction{0.1}
+\renewcommand\floatpagefraction{0.9}
+
+\setlength{\unitlength}{1cm}
+
+\newcommand{\protectfile}[1]{#1}
+\urlstyle{sf}
+\newcommand{\file}[1]{{\color{structure}\protectfile{#1}}}
+\newcommand{\textarrow}{{\boldmath $\longrightarrow$}}
+\newcommand{\arrowitem}{\item[\textarrow]}
+\newcommand{\newterm}[1]{\emph{\color{darkgreen}#1}}
+\newcommand{\BIGskip}{\vspace{1cm}}
+\newcommand{\shy}{\color{lightgray}}
+\newcommand{\hot}{\color{red}}
+\newcommand{\shyhot}{\color{lightred}}
+
+\newcommand{\sectionnonumber}[1]{\section{#1}\addtocounter{section}{-1}}
+
+\def\showsectionnonumber{\hbox{\Large\color{structure}\bf
+                               \vtop{\secname}\par}\bigskip}
+
+\newcommand{\nosectionnonumber}[1]{\gdef\nosectionnonumbername{#1}}
+
+\def\shownosectionnonumber{\hbox{\Large\color{structure}\bf
+                                 \vtop{\nosectionnonumbername}\par}\bigskip}
+
+\def\showsection{\hbox{\Large\color{structure}\bf
+                       \vtop{\hbox{\arabic{section}}}\kern1em%
+                       \vtop{\secname}\par}\bigskip}
+
+\newcommand{\subsectionnonumber}[1]{\subsection{#1}\addtocounter{subsection}{-1}}
+
+\def\showsubsectionnonumber{{\large\color{structure}\bf\subsecname\par}\bigskip}
+
+\def\showsubsection{\hbox{\large\color{structure}\bf
+                          \vtop{\hbox{\arabic{section}.\arabic{subsection}}}\kern1em%
+                          \vtop{\subsecname}\par}\bigskip}
+
+\newcommand{\subsubsectionnonumber}[1]{\subsubsection{#1}\addtocounter{subsubsection}{-1}}
+
+\def\showsubsubsectionnonumber{{\normalsize\color{structure}\bf\subsubsecname\par}\bigskip}
+
+\def\showsubsubsection{\hbox{\normalsize\color{structure}\bf
+                             \vtop{\hbox{\arabic{section}.\arabic{subsection}.\arabic{subsubsection}}}\kern1em%
+                             \vtop{\subsubsecname}\par}\bigskip}