Quantum communication protocols based on entanglement swapping

TL;DR

This paper reviews quantum cryptographic protocols utilizing entanglement and entanglement swapping, emphasizing the geometric and formal aspects of the transformations in the Hilbert space framework.

Contribution

It provides a geometric and formal analysis of quantum cryptographic protocols based on entanglement swapping, highlighting the mathematical structure involved.

Findings

Clarifies the geometric interpretation of entanglement swapping

Analyzes the formal transformations used in quantum cryptography

Provides insights into the Hilbert space structure of protocols

Abstract

We recall several cryptographic protocols based on entanglement alone and also on entanglement swapping. We make an exposition in terms of the geometrical aspects of the involved Hilbert spaces, and we concentrate on the formal nature of the used transformations.