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arXiv · 1404.1503

Quantum Hashing via Classical $ε$-universal Hashing Constructions

Farid Ablayev·Marat Ablayev
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Abstract

In the paper, we define the concept of the quantum hash generator and offer design, which allows to build a large amount of different quantum hash functions. The construction is based on composition of classical $ε$-universal hash family and a given family of functions -- quantum hash generator. The proposed construction combines the properties of robust presentation of information by classical error-correcting codes together with the possibility of highly compressed presentation of information by quantum systems. In particularly, we present quantum hash function based on Reed-Solomon code, and we proved, that this construction is optimal in the sense of number of qubits needed.

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Farid Ablayev, Marat Ablayev. 2015-01-21. Quantum Hashing via Classical $ε$-universal Hashing Constructions. https://arxiv.org/abs/1404.1503

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