main.tex

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% The landscape version of this template was downloaded from:
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%	TITLE SECTION 
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\title{High-Dimensional Semi-Quantum Cryptography} % Poster title

\author{Hasan Iqbal, Walter O. Krawec} % Author(s)

\institute{Computer Science and Engineering, UConn} % Institution(s)

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\usepackage{tikz}
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\begin{document}

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\vspace{-.6in}
\begin{alertblock}{Big Question}
\textbf{What if Quantum computers break down most of our security infrastructure?}
\begin{itemize}
	\item Most modern crypto-systems have unproven computational assumptions.
	\item Shor's algorithm shows that these are vulnerable.
	\item Need quantum-proof security systems. 
\end{itemize}
\end{alertblock}
\vspace{-.2in}
\begin{block}{Motivation}
	
	\begin{itemize}
		\item Quantum key distribution offers unconditional security. 
		\item High-dimensional QKD offers increased noise tolerance.
		\item Use `HD'-advantage in limited resourece QKD systems.
	\end{itemize}
\vspace{-.2in}
\begin{figure}
	\includegraphics[width=.75\linewidth]{qubit_basis.png}
	\caption{Qubits and Measurement Basis}
\end{figure}
	
\end{block}
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\vspace{-1in}
\begin{block}{Proof Sketch}

\begin{center}
	\begin{tikzpicture}[node distance=2.5cm, scale=.9
	, transform shape]
	\node (pro0) [process] {Convert to One-Way Protocol};
	\node (pro1) [process, below of=pro0, ] {Compute Density Operator};
	\node (pro2) [process, below of=pro1] {Calculate 'Reflect' Entropy using Uncertainty Relation};
	\node (pro3) [process, below of=pro2] {Calculate 'Measure/Resend' entropy using Continuity Bound};
	\node (pro4) [process, below of=pro3] {Compute Key-rate};
	\draw [arrow] (pro0) -- (pro1);
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	\draw [arrow] (pro2) -- (pro3);
	\draw [arrow] (pro3) -- (pro4);
	\end{tikzpicture}
\end{center}
	
\end{block}


\begin{block}{Evaluation}
	\begin{itemize}
		\item Noise tolerance: How much disturbance in the channel can the protocol withstand? 
		\item How does it compare to a famous fully quantum HD-QKD protocol?
	\end{itemize}	
		\begin{figure}
			\includegraphics[width=.89\linewidth]{keyrate-ind.png}
			\caption{Noise tolerance in different dimensions}
		\end{figure}


\end{block}
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\vspace{-.6in}
\begin{alertblock}{Important Result}
\hspace{.3in}\textbf{High-dimensional SQKD offers the best defense against channel attack so far with limited resources.}	
\end{alertblock} 


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\vspace{-.6in}
\begin{block}{Our Algorithm}
	
%	\begin{figure}
%		\includegraphics[width=.9\linewidth]{qkd.png}
%		\caption{Quantum Key Distribution}
%	\end{figure}
%\vspace{-.2in}	
%	\begin{itemize}
%		\item Alice sends Bob information via qubit through quantum channel where Eve attacks.
%		\item The key is secure as long as Eve does not know 'too much' about it compared to Bob.
%	\end{itemize}	




\vspace{.2in}
\begin{column}{\sepwid}\end{column} % Empty spacer column
		\begin{tabular}{|p{28cm}|}
			\hline 
			\hspace{10cm}\textbf{HD-SQKD} \\
			\hline \hline
			1. Alice randomly prepares two basis states, sends to Bob. \\ 
			2. Eve attacks the forward channel. \\
			3. Bob measure-resends or reflects.\\ 
			4. Eve attacks the reverse channel. \\ 
			5. Alice measures the returning qubits. \\ \hline 
			%		6. They share a key-bit if Alice prepared in $\ket{z}$ basis and Bob measured. \\ \hline
		\end{tabular}	
		

	\begin{figure}
		\includegraphics[width=.87\linewidth]{sqkd_hidim}
		\caption{High-dimensional SQKD}
		\label{fig:sqkd_hidim}
	\end{figure}

	
\end{block}
\vspace{-.5in}
%\begin{block}{High-Dimensional SQKD}
%	
%	\begin{itemize}
%		\item High-dimensional qudits instead of traditional qubits. 
%		\item Better carrier, more robust against cloning.
%	\end{itemize}
%\vspace{-.3in}			
%	
%\end{block}

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\vspace{-.2in}	

		\begin{figure}
			\includegraphics[width=.85\linewidth]{q_v_kr_to_label_done_small.png}
			\caption{Noise vs Key rate: HD-SQKD vs HD-BB84}
		\end{figure}
		

		\begin{alertblock}{Conclusion}
			
			\begin{itemize}
				\item We have proposed a new HD-SQKD protocol.
				\item Performed an information-theoretic security analysis. 
				\item Proved that qudits can indeed benefit SQKD model. 
			\end{itemize}
			
		\end{alertblock}


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\end{document}


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