fixed a lot of stuff

performance/plot_scaling_qbits_linear.py

@@ -3,6 +3,9 @@ import matplotlib
 import numpy as np
 import json
 
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern']})
+matplotlib.rc('text', usetex=True)
+
 matplotlib.rcParams.update({'errorbar.capsize': 2})
 
 results_naive = np.genfromtxt("qbit_scaling_naive.csv")

performance/plot_scaling_qbits_log.py

@@ -3,6 +3,9 @@ import matplotlib
 import numpy as np
 import json
 
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern']})
+matplotlib.rc('text', usetex=True)
+
 matplotlib.rcParams.update({'errorbar.capsize': 2})
 
 results_naive = np.genfromtxt("qbit_scaling_naive.csv")

performance/regimes/plot_scaling_circuits_50qbit_linear.py

@@ -4,6 +4,8 @@ import matplotlib.pyplot as plt
 import numpy as np
 import json
 
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern']})
+matplotlib.rc('text', usetex=True)
 matplotlib.rcParams.update({'errorbar.capsize': 2})
 
 results_graph0 = np.genfromtxt("circuit_scaling_graph1.csv")

performance/regimes/plot_scaling_circuits_linear.py

@@ -4,6 +4,8 @@ import matplotlib.pyplot as plt
 import numpy as np
 import json
 
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern']})
+matplotlib.rc('text', usetex=True)
 matplotlib.rcParams.update({'errorbar.capsize': 2})
 
 results_graph0 = np.genfromtxt("circuit_scaling_graph0.csv")

performance/regimes/plot_scaling_circuits_measurements_linear.py

@@ -4,6 +4,8 @@ import matplotlib.pyplot as plt
 import numpy as np
 import json
 
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern']})
+matplotlib.rc('text', usetex=True)
 matplotlib.rcParams.update({'errorbar.capsize': 2})
 
 results_graph0 = np.genfromtxt("circuit_scaling_graph0_measurements.csv")

thesis/chapters/introduction.tex

@@ -6,26 +6,26 @@ 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 \cite{nielsen_chuang_2010}. One
+that will allow the execution of arbitrarily long quantum circuits \cite{nielsen_chuang_2010}. 
-important class of quantum error correction strategies are stabilizer codes
+A notable 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}.
 
+Being able to simulate large stabilizer states is particularly interesting for 
+exploring quantum error correction strategies as fault tolerant quantum computing
+requires several layers of encoding - so called concatenated codes \cite{nielsen_chuang_2010} -
+that use many physical qbits organized in several layers to encode one logical qbit. 
+
 One particularly 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
+and a graphical representation for stabilizer states. After giving an introduction
-to quantum computing some basic properties of stabilizer states and their
+to quantum computing, some basic properties of stabilizer states and their
 dynamics are elucidated. Using this the graphical representation is introduced
-and some operations on the graphical states are explained. Following is
+and notable operations on the graphical states are explained. Following is
 a chapter describing the implementation of these techniques and some performance
 analysis.
-
-Being able to simulate large stabilizer states is particularly interesting for 
-exploring quantum error correction strategies as fault tolerant quantum computing
-requires several layers of encoding - so called concatenated codes \cite{nielsen_chuang_2010} -
-that require many physical qbits to encode one logical qbit. 

thesis/chapters/quantum_computing.tex

@@ -214,6 +214,8 @@ As mentioned in \ref{ref:many_qbits} one can approximate an arbitrary $n$-qbit
 gate $U$ as a product of some single-qbit gates and either $CX$ or $CZ$.
 Writing (possibly huge) products of matrices is quite unpractical and
 unreadable. To address this problem quantum circuits have been introduced.
+The quantum circuits introduced here follow the conventions from 
+\cite{nielsen_chuang_2010}.
 These represent the qbits as a horizontal line and a gate acting on a qbit is
 a box with a name on the respective line. Quantum circuits are read from
 left to right. This means that a gate $U_i = Z_i X_i H_i$ has the
@@ -244,6 +246,15 @@ Several qbits can be abbreviated by writing a slash on the qbit line:
 }
 \]
 
+Measurements are denoted using a special "gate", the classical result
+is written as double lines:
+
+\[
+\Qcircuit @C=1em @R=.7em {
+& \gate{H} & \gate{X} & \qw & \meter & \cw \\
+}
+\]
+
 
 \section{Quantum Algorithms}
 \label{ref:quantum_algorithms}

thesis/main.tex

@@ -1,4 +1,4 @@
-\documentclass[a4paper,12pt,numbers=noenddot]{scrreprt}
+\documentclass[a4paper,12pt,numbers=noenddot,egregdoesnotlikesansseriftitles]{scrreprt}
 \usepackage[utf8]{inputenc} 
 \usepackage{graphicx} 
 \usepackage{amssymb, amsthm}
@@ -52,18 +52,18 @@ Supervised by Prof. Dr. Christoph Lehner}
 
     {\LARGE University of Regensburg\par}
     {\Large Institute I - Theoretical Physics\par}
-    \vspace{1cm}
+    \vspace{0.7cm}
     {\Large Bachelor Thesis\par}
-    \vspace{1cm}
+    \vspace{0.7cm}
     {\huge\bfseries An Efficient Quantum Computing Simulator using a Graphical Description for Many-Qbit Systems \par}
-    \vspace{1cm}
+    \vspace{0.7cm}
     {\Large\itshape Daniel Knüttel\par}
 
     \includegraphics[width=\textwidth]{cover.png}
 
     \vfill
     {\Large\itshape Supervised by \par
-    Dr. Christoph Lehner}
+    Prof. Dr. Christoph Lehner}
     \vfill
     {\large 10.04.2020}
 \end{titlepage}
@@ -82,6 +82,9 @@ Supervised by Prof. Dr. Christoph Lehner}
 \include{chapters/appendix}
 \end{appendices}
 
+\newpage
+\listoffigures
+
 \bibliographystyle{unsrt} 
 \bibliography{main}{}