General Framework for the Development of Advanced Quantum Computing
\documentclass[12pt,a4paper]{article}
% ==== Basic Packages ====
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[english]{babel}
\usepackage{amsmath,amssymb,amsfonts,amsthm}
\usepackage{geometry}
\usepackage{hyperref}
\geometry{margin=2.5cm}
% ==== Document Data ====
\title{\textbf{General Framework for the Development of Advanced Quantum Computing}}
\author{Jesús Pérez Expolio \\ \texttt{jepex59@hotmail.com}}
\date{\today}
\begin{document}
\maketitle
\begin{abstract}
This document presents a general conceptual framework for the development of a new mathematical and computational theory applied to quantum computing and advanced simulation systems. A global vision is provided without revealing sensitive technical details, preserving the confidentiality of the original algorithms and mathematical structures. The work proposes an architecture that integrates rigorous mathematical models, specialized hardware development, and verifiable computational simulation.
\end{abstract}
\section{Introduction}
Quantum computing is at the forefront of scientific and technological knowledge. This work introduces a conceptual framework based on advanced mathematics and simulation techniques, aimed at solving highly complex problems through an interdisciplinary approach that spans quantum physics, advanced geometry, category theory, and high-performance software development.
\section{Objectives}
\begin{itemize}
\item Present the conceptual foundations of a new quantum architecture.
\item Provide a general description without disclosing proprietary algorithms or sensitive formulas.
\item Lay the groundwork for future academic and industrial collaborations.
\end{itemize}
\section{General Structure of the Theoretical Framework}
The theoretical framework is organized into three levels:
\begin{enumerate}
\item \textbf{Mathematical Level:} Abstract definition of structures describing the dynamics of quantum systems.
\item \textbf{Computational Level:} Development of algorithms and simulations verifiable in environments such as Julia and Lean.
\item \textbf{Experimental Level:} Potential applications in quantum hardware and future validation.
\end{enumerate}
\section{Potential Applications}
\begin{itemize}
\item Optimization of industrial processes.
\item Molecular simulation and design of new materials.
\item Quantum security and cryptography.
\item Advanced quantum artificial intelligence.
\end{itemize}
\section{Conclusions}
This document serves as a starting point for the controlled dissemination of a broad-reaching theory, keeping critical details protected while communicating its scientific and industrial relevance.