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42 lines
1.5 KiB
TeX
42 lines
1.5 KiB
TeX
\section{Introduction}
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\subsection{Motivation}
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Automated market makers revolutionized decentralized exchange by
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replacing order books with deterministic pricing functions. However,
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existing AMMs suffer from three limitations:
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\begin{enumerate}[nosep]
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\item \textbf{No privacy}: All orders are visible on-chain before
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execution, enabling front-running and sandwich attacks.
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\item \textbf{Fungible tokens only}: NFTs and real-world asset tokens
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cannot participate in standard AMM pools.
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\item \textbf{Single-chain}: Cross-chain liquidity requires third-party
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bridges with variable security properties.
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\end{enumerate}
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QuantumSwap addresses all three: homomorphic encryption prevents order
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visibility, mixed FT/NFT pools extend liquidity to non-fungible assets,
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and a native teleport protocol provides cross-chain token movement with
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post-quantum security.
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\subsection{Historical Context}
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\begin{center}
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\begin{tabular}{lll}
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\toprule
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\textbf{Year} & \textbf{Protocol} & \textbf{Innovation} \\
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\midrule
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2013 & BitShares & Decentralized order books \\
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2016 & 0x Protocol & Gas-efficient meta-transactions \\
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2018 & Uniswap V1 & First AMM, LP tokens, ETH/ERC-20 pairs \\
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2020 & Uniswap V2 & ERC-20/ERC-20 pairs, flash swaps, oracle feeds \\
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2021 & Uniswap V3 & Concentrated liquidity, range orders~\cite{uniswapv3} \\
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2024 & QuantumSwap & Mixed FT/NFT pools, FHE-encrypted order flow \\
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\bottomrule
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\end{tabular}
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\end{center}
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%% ============================================================
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