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73 lines
2.3 KiB
TeX
73 lines
2.3 KiB
TeX
\documentclass[11pt,a4paper]{article}
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\usepackage{../shared/luxcover}
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\usepackage[utf8]{inputenc}
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\usepackage[T1]{fontenc}
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\usepackage{amsmath,amssymb,amsfonts,amsthm}
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\usepackage{graphicx}
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\usepackage{hyperref}
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\usepackage{booktabs}
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\usepackage{algorithm}
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\usepackage{algpseudocode}
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\usepackage{enumitem}
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\usepackage{xcolor}
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\hypersetup{colorlinks=true,linkcolor=black,citecolor=blue,urlcolor=blue}
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\newtheorem{theorem}{Theorem}[section]
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\newtheorem{lemma}[theorem]{Lemma}
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\newtheorem{definition}{Definition}[section]
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\newtheorem{remark}{Remark}[section]
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\title{LP-308: QuantumSwap\\[4pt]
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\large A Post-Quantum AMM Protocol with Mixed\\
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Fungible/Non-Fungible Liquidity Pools}
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\author{
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Lux Research\thanks{Corresponding author: [email protected]}\\
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\textit{Lux Industries, Inc.}\\
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\texttt{[email protected]}
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}
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\date{Original: March 2024\quad|\quad Revised: March 2026}
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\begin{document}
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\luxcoverpage
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\begin{abstract}
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QuantumSwap is an automated market maker protocol designed for the
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Lux Network with three distinguishing properties: post-quantum
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encryption of order flow via TFHE, mixed fungible/non-fungible token
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liquidity pools with configurable bonding curves, and a multi-chain
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teleport protocol using zero-knowledge bridges with Lamport and
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lattice-based signatures.
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This paper formalizes the bonding curve algorithms (linear,
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exponential, XYK), the interest rate mechanism for RWA-backed
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price-stable currencies, and the capital efficiency model. We provide
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the concrete interest rate schedule and analyze its stability
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properties.
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Section~\ref{sec:current} maps the QuantumSwap design to the current
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Lux exchange architecture: \texttt{luxfi/dex} (CLOB engine),
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\texttt{luxfi/standard/contracts/amm/} (AMM V1--V4 contracts), and
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the USDL stablecoin.
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\end{abstract}
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\tableofcontents
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\newpage
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%% ============================================================
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\input{sections/01-introduction}
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\input{sections/02-bonding-curve-algorithms}
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\input{sections/03-mixed-ft-nft-liquidity-pools}
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\input{sections/04-rwa-backed-price-stable-currencies}
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\input{sections/05-privacy-homomorphic-encryption-of-order-}
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\input{sections/06-multi-chain-teleport-protocol}
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\input{sections/07-gas-free-meta-transactions}
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\input{sections/08-current-status}
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\input{sections/99-conclusion}
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\end{document}
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