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papers/lp-307-quantum-consensus-protocol/lp-307-quantum-consensus-protocol.tex
zeekay f4ee7a0525 Publish under the org, not a person
Bylines, paper authorship, correspondence addresses and the founder blurb under
each post named an individual. They name the organisation that published the
work instead: the brand on posts and pages, the research byline on papers, and
research@ in place of a personal address. Both are what these repositories
already used elsewhere — nothing new was coined.

Co-authors are untouched. Where a paper named someone else alongside, they stay
named; only the one byline changed. Bibliography entries, running heads,
PDF metadata and affiliations move with it, so a citation still resolves to
whoever the cited paper names.

Sample and fixture data uses the placeholder name these tests already use
elsewhere, so no assertion changed meaning.
2026-09-01 08:58:10 -07:00

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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}
\usepackage{braket}
\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]
\newtheorem{proposition}[theorem]{Proposition}
\title{LP-307: Quantum Consensus Protocol\\[4pt]
\large Eisenstein Series and Amplitude Amplification\\
for Distributed Agreement}
\author{
Lux Research\thanks{Corresponding author: [email protected]}\\
\textit{Lux Industries, Inc.}\\
\texttt{[email protected]}
}
\date{Original: May 2023\quad|\quad Revised: March 2026}
\begin{document}
\luxcoverpage
\begin{abstract}
We introduce the Quantum Consensus Protocol (QCP), an approach to
distributed agreement that leverages quantum computation and the
analytic structure of Eisenstein series. The protocol encodes lattice
summations as quantum superpositions, performs series evaluation via
state interference, and adjusts computational difficulty through
Grover-style amplitude amplification. We derive convergence bounds for
truncated Eisenstein series in the quantum setting and analyze the
resulting consensus properties.
This paper records a 2023 research direction. Section~\ref{sec:status}
maps QCP's ideas to the production Quasar consensus protocol (LP-020),
distinguishing what was adopted from what remained theoretical.
\end{abstract}
\tableofcontents
\newpage
%% ============================================================
\input{sections/01-introduction}
\input{sections/02-eisenstein-series-and-quantum-computatio}
\input{sections/03-convergence-bounds-for-truncated-eisenst}
\input{sections/04-difficulty-adjustment-via-amplitude-ampl}
\input{sections/05-consensus-protocol-design}
\input{sections/06-implementation-considerations}
\input{sections/07-2026-status-mapping-qcp-to-quasar}
\input{sections/99-conclusion}
\end{document}