Hybrid Quantum Walks Dynamics and Construction of a Quantum Cryptographic Primitive

TL;DR

This paper introduces a novel quantum hash function model based on hybrid quantum walks, combining continuous and lackadaisical quantum walks, demonstrating strong cryptographic properties and potential for secure quantum cryptography.

Contribution

It presents a new quantum hash function construction using hybrid quantum walks, integrating continuous and lackadaisical walks for enhanced cryptographic features.

Findings

Strong cryptographic sensitivity and collision resistance

Effective statistical and uniformity properties

Resilience against birthday attacks

Abstract

In this research article, we design a quantum hash function model from hybrid quantum walks on finite path graph. The hybrid evolution operator consisting of integrated framework of continuous time quantum walks and lackadaisical quantum walks as per choice of bits in binary input message, acts on initial quantum state and generate quantum hash values from probability distribution of final quantum state. The quantum hash values generated through the proposed method is showing strong cryptographic properties in sensitivity analysis, collision analysis, statistical features analysis, birthday attack and uniform analysis. Our proposed framework is showing successful results utilizing mathematically well defined structure of hybrid quantum walks based on quantum mechanics phenomena.