Files
papers/lp-308-quantum-amm/lp-308-quantum-amm.tex
zeekay dd93cb41f7 papers: cover-consistency + build pass on Lux Tier-2/3 catalogue
Sweep across the non-Tier-1 paper catalogue (Tier-1 owned by parallel
agent and excluded). All 113 processed papers already had luxcover
wired up; this commit fixes 14 build breakers and produces fresh
PDFs across the catalogue.

Fixes:
- lux-blockchain-scaling-laws: em-dash inside lstlisting -> --
- lux-corona-pq: stale \input pointing at 03-the-corona-scheme renamed
  to 03-the-corona-scheme (file already renamed on disk)
- lux-lattice-cryptography-primer: same Corona->Corona rename
- lux-formal-verification-lean4: Lean source uses unicode (×, ∀, ∃, ∈,
  ∧, ∨, ∩, ≠, ⟨, ⟩, ·, ¬) inside lstlistings. Added a literate map
  so listings render the math glyphs without UTF-8 fault.
- lux-id-did-specification: ✓/✗ in tabular replaced with \ding{51}
  / \ding{55} (pifont). Added pifont package.
- lux-ntt-simd-implementation: middle-dot in Go assembly listings;
  added literate {·}{\textperiodcentered}.
- lux-ntt-transform: μ, ×, –, — in regular text (no T1 fontenc).
  Replaced with $\mu$/$\times$/--/--- via unicode->latex sweep.
- lux-perpetuals-derivatives, lux-quantum-consensus,
  lux-quasar-consensus, lux-tee-computing-mesh: same unicode->latex
  sweep across body text. Also fixed broken math segment
  `$L_{avg} = 10$\times$$` -> `$L_{avg} = 10\times$`.
- lux-zchain: emoji glyphs in roadmap table replaced with
  parenthetical text.
- lux-triple-proof-consensus: dropped duplicate \usepackage{geometry}
  that clashed with luxcover (geometry option clash).
- pq: defined missing \Rq macro.

PDFs rebuilt for the full Tier-2/3 set.

Excluded (Tier-1, parallel agent): lp-073-pulsar, lp-stricte2epq,
dag-evm-formal, lp-010-quasar-stm-{3,4}, lp-020-quasar-consensus,
lux-institutional-custody, lux-nist-mptc-submission, pqsafe-il5,
pq-rns, plus shared/ and lps/.
2026-05-13 01:27:59 -07:00

73 lines
2.2 KiB
TeX

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