Constructing quantum Hash functions based on quantum walks on Johnson graphs

Autor: Wei-Feng Cao, Wei-Min Shi, Yong-Ce Zhang, Yi-Hua Zhou, Dan Li, Yu-Guang Yang
Rok vydání: 2018
Předmět:
Zdroj: Quantum Information Processing. 17
ISSN: 1573-1332
1570-0755
DOI: 10.1007/s11128-018-1923-9
Popis: We present a quantum hash function in a quantum walk framework on Johnson graphs. In this quantum hash function, the message bit decides which coin operator, i.e., Grover operator or DFT operator, is applied on the coin at each step. Then a fixed conditional shift operator is applied to decide the movement of the walker. Compared with existing quantum-walk-based hash functions, the present hash function has a lower collision rate and quantum resource cost. It provides a clue for the construction of other cryptography protocols by introducing the quantum walk model into hash functions.
Databáze: OpenAIRE