Outline of a Synalgebraic Approach to Distributed Quantum Computing
Beraldo de Araujo, Anderson
Abstract
This paper introduces a framework for computational reasoning about networks of quantum computers, grounded in a new mathematical theory called synalgebra. Unlike previous approaches, it shows how gate circuits can be made fully quantum and distributed across different levels of configuration. This perspective enables the formal verification of designs for quantum computer networks with unconventional topologies, which can be leveraged to develop previously unknown quantum algorithms.