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Related Experiment Video

Updated: Oct 2, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Authentication of variable length messages in quantum key distribution.

Khodakhast Bibak¹, Bruce M Kapron², Venkatesh Srinivasan²

¹Department of Computer Science and Software Engineering, Miami University, Oxford, Ohio 45056 USA.

EPJ Quantum Technology

|February 28, 2022

Summary

This summary is machine-generated.

We introduce efficient Polynomial Hash variants for secure authentication in quantum key distribution (QKD) protocols. These hash functions offer strong security guarantees for QKD and other quantum cryptography applications.

Keywords:

Polynomial Hash Polynomial congruence Quantum key distribution ε-almost-strongly universal

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Area of Science:

Cryptography
Quantum Information Science
Number Theory

Background:

Authentication is crucial for the security of quantum key distribution (QKD) protocols.
Universal hashing is widely used in QKD for authentication, error correction, and privacy amplification, as well as in other quantum cryptography areas.
Polynomial Hash and its variants are efficient universal hash function families.

Purpose of the Study:

To propose and analyze efficient variants of Polynomial Hash for authenticating variable-length messages in QKD protocols.
To demonstrate the applicability of these hash functions in various quantum cryptographic contexts.
To provide a method for transforming hash function families for enhanced security.

Main Methods:

Introduction and analysis of several efficient Polynomial Hash variants.
Application of number theory results to prove universal hash function properties (ε-almost-Δ-universal).
Development of a general method for transforming hash families into ε-almost-strongly universal families.

Main Results:

Each Polynomial Hash variant is proven to be an ε-almost-Δ-universal family.
A general transformation method yields ε-almost-strongly universal families.
These families are suitable for Wegman-Carter MAC construction in QKD.

Conclusions:

The proposed Polynomial Hash variants offer efficient and secure authentication for QKD.
The results have potential applications in various areas of quantum cryptography and beyond.
The study enhances the security foundations of quantum communication systems.