69 lines
3.1 KiB
TeX
69 lines
3.1 KiB
TeX
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% vim: ft=tex
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\section{Appendix}
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\subsection{Source Code for the Benchmarks}
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\label{ref:code_benchmarks}
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The benchmarks used in \ref{ref:performance} are done using this code. Note
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that the execution time is measured which is inherently noisy. To account for
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the noise several strategies are used:
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\begin{enumerate}[1]
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\item{The same circuit is applied to the starting state several times. The
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minimal result is used as the noise must be positive}
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\item{Several circuits are applied to the starting state. The remaining
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noise is mixed with the variance due to the different circuits.}
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\item{Because the noise can be timely correlated (i.e. another process
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requires processor time for a longer period) the tests have been
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randomized such that the time correlated noise is distributed randomly over
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several uncorrelated measurements.}
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\end{enumerate}
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The code used to benchmark the three regimes is analogous and not included here.
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\lstinputlisting[title={Generating Data for the Dense State Vector vs. Graphical Simulator Benchmark}, language=Python, breaklines=true]{../performance/generate_data_scaling_qbits.py}
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\lstinputlisting[title={Code for Measuring and Computing the Execution Time and Statistics}, language=Python, breaklines=true]{../performance/measure_circuit.py}
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\subsection{Complete Graphical States from the Three Regimes}
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\label{ref:complete_graphs}
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Because the whole graphs are barely percetible windows have been used
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in Figure \ref{fig:graph_high_linear_regime} and Figure \ref{fig:graph_intermediate_regime}.
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For the sake of completeness the whole graphs are included here in Figure \ref{fig:graph_low_linear_regime_full},
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Figure \ref{fig:graph_intermediate_regime_full} and Figure \ref{fig:graph_high_linear_regime_full}.
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\begin{figure}[H]
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\centering
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\includegraphics[width=\linewidth]{graphics/graph_low_linear_regime.png}
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\caption[Typical Graphical State in the Low-Linear Regime]{Typical Graphical State in the Low-Linear Regime}
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\label{fig:graph_low_linear_regime_full}
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\end{figure}
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\begin{figure}[H]
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\centering
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\includegraphics[width=\linewidth]{graphics/graph_intermediate_regime.png}
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\caption[Typical Graphical State in the Intermediate Regime]{Typical Graphical State in the Intermediate Regime}
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\label{fig:graph_intermediate_regime_full}
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\end{figure}
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\begin{figure}[H]
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\centering
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\includegraphics[width=\linewidth]{graphics/graph_high_linear_regime.png}
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\caption[Typical Graphical State in the High-Linear Regime]{Typical Graphical State in the High-Linear Regime}
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\label{fig:graph_high_linear_regime_full}
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\end{figure}
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\subsection{Code to Generate the Example Graphs}
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\label{ref:code_example_graphs}
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This code has been used to generate the example graphs used in
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\ref{ref:performance}. Note that generating the graph is done using a random
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circuit as used in \ref{ref:code_benchmarks}. The generated \lstinline{dot}
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code is converted to an image using
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\lstinline{dot i_regime.dot -Tpng -o i_regime.png}.
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\lstinputlisting[title={Code used to Generate the Example Graphs}, language=Python, breaklines=true]{../performance/regimes/graph_intermediate_regime.py}
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