A classical groupoid model for quantum networks

Abstract

We give a mathematical analysis of a new type of classical computer network architecture, intended as a model of a new technology that has recently been proposed in industry. Our approach is based on groubits, generalizations of classical bits based on groupoids. This network architecture allows the direct execution of a number of protocols that are usually associated with quantum networks, including teleportation, dense coding and secure key distribution.

References in corpus (5)

• Biunitary constructions in quantum information
• Mixed quantum states in higher categories
• Higher Quantum Theory
• Quantum Protocols within Spekkens' Toy Model
• Categorified Algebra and Quantum Mechanics