Mathematical Frameworks of All-Quantum Mode Adaptable Communication Processors

TL;DR

This paper develops mathematical frameworks for all-quantum mode adaptation in quantum communication, enabling dynamic compatibility among diverse quantum nodes to support scalable Quantum Internet infrastructure.

Contribution

It introduces a comprehensive mathematical approach focusing on mode expansion, reduction, and mapping to facilitate adaptable quantum processors for various communication environments.

Findings

Demonstrates the feasibility of dynamic mode adaptation using photon degrees of freedom

Provides mathematical tools for managing quantum signal compatibility

Addresses real-world challenges in Quantum Internet scalability

Abstract

The diversity of quantum communication protocols and their rapid growth entail the development of the Quantum Internet, the interconnection of various quantum communication nodes and systems. One of the challenges posed by this development is all-quantum mode adaptation, which is essential for adapting different quantum nodes to the common network, enhancing the efficiency and scalability of quantum information transmission. This paper investigates the mathematical frameworks of all-quantum mode adaptation, focusing on three essential elements-mode expansion, mode reduction, and mode mapping-which are crucial for managing compatibility among different quantum signals. By leveraging various degrees of freedom of photons, we demonstrate the possibility of adaptable all-quantum processors that can dynamically adjust to different communication environments, addressing real-world challenges in the Quantum Internet.