Quantum Fingerprinting and Quantum Hashing. Computational and Cryptographical Aspects

Rusins Freivalds was one of the first researchers who introduced methods (later called fingerprinting) for constructing efficient classical randomized and quantum algorithms. Fingerprinting and cryptographic hashing have quite different usages in computer science, but have similar properties. Interpretation of their properties is determined by the area of their usage: fingerprinting methods are methods for constructing efficient randomized and quantum algorithms for computational problems, while hashing methods are one of the central cryptographical primitives. Fingerprinting and hashing methods are being developed from the mid of the previous century, while quantum fingerprinting and quantum hashing have a short history. In the paper we present computational aspects of quantum fingerprinting, discuss cryptographical properties of quantum hashing, and present the possible use of quantum hashing for quantum hash-based message authentication codes.