some work

thesis/chapters/introduction.tex

@@ -1,3 +1,26 @@
+% vim: ft=tex
 \section{Introduction}
 
+Quantum computing has been a rapidly growing field over the last years with
+many companies and institutions working on building and using quantum computers
+\cite{ibmq}\cite{intelqc}\cite{microsoftqc}\cite{dwavesys}\cite{lrzqc}\cite{heise25_18}.
+One important topic in this research is quantum error correction
+\cite{nielsen_chuang_2010}\cite{gottesman2009}\cite{gottesman1997}\cite{shor1995}
+that will allow the execution of arbitrarily long quantum circuits. One
+important class of quantum error correction strategies are stabilizer codes
+\cite{gottesman2009}\cite{gottesman1997} that can be simulated exponentially
+faster than general quantum circuits
+\cite{gottesman_aaronson2008}\cite{CHP}\cite{andersbriegel2005}.
 
+One particularely efficient way to simulate stabilizer states is the graphical
+representation \cite{andersbriegel2005} that has been studied extensively in
+the context of both quantum error correction and quantum information theory
+\cite{schlingenmann2001}\cite{dahlberg_ea2019}\cite{vandennest_ea2004}\cite{hein_eisert_briegel2008}.
+This paper describes the development of a quantum computing simulator 
+using both the usual dense state vector representation for a general state
+and a graphical representation for stabilizer states. After giving some introduction
+to quantum computing some basic properties of stabilizer states and their
+dynamics are given. Using this the graphical representation is introduced
+and some operations on the graphical states are explained. Following is
+a chapter describing the implementation of these techniques and some performance
+analysis.

thesis/main.bib

@@ -184,3 +184,50 @@
     note={https://github.com/QISKit/openqasm},
     year=2019
 }
+@online{
+    ibmq,
+    url={https://www.ibm.com/quantum-computing/learn/what-is-quantum-computing/},
+    urldate={19.09.2019},
+    title={IBM Q - What is quantum computing?},
+    author={IBM},
+    year=2019
+}
+@online{
+    intelqc,
+    url={https://newsroom.intel.com/press-kits/quantum-computing/#gs.2s0dux},
+    urldate={19.09.2019},
+    title={Intel Press Kit: Quantum Computing},
+    author={Intel},
+    year=2019
+}
+@online{
+    microsoftqc,
+    url={https://www.microsoft.com/en-us/quantum/default.aspx},
+    urldate={19.09.2019},
+    title={Quantum Computing | Microsoft},
+    author={Microsoft},
+    year=2019
+}
+@online{
+	dwavesys,
+	url={https://www.dwavesys.com/quantum-computing},
+    urldate={19.09.2019},
+    title={Quantum Computing | D-Wave Systems},
+    author={D-Wave Systems Inc}
+}
+@online{
+	lrzqc,
+	url={https://www.lrz.de/wir/newsletter/2019-08/#LRZ_bereit_fuer_bayerische_Quantechnologie},
+    urldate={19.09.2019},
+    title={LRZ-Newsletter Nr. 08/2019 vom 01.08.2019},
+    author={S. Vieser},
+    year=2019
+}
+@online{
+	heise25_18,
+	url={https://www.heise.de/select/ct/2018/25/1544250249368810},
+    urldate={19.09.2019},
+    title={Europa entfesselt Quanten-Power},
+    author={Arne Grävemeyer},
+    year=2018
+}

thesis/main.tex

@@ -1,4 +1,4 @@
-\documentclass[a4paper,12pt,draft]{scrartcl}
+\documentclass[a4paper,draft,12pt]{scrartcl}
 \usepackage[utf8]{inputenc} 
 \usepackage{graphicx} 
 \usepackage{amssymb, amsthm}