Quantum hashing on the high-dimensional states

Abstract

In the paper, we consider using high-dimensional quantum states (so-called qudits) for the implementation of the quantum hashing technique. The importance of qudits for quantum procedures that implement quantum hashing and protocols based on it follows from two considerations. First of all, d-dimensional qudit describes a d-level quantum system, which can be in a superposition of its d basis states without the need of using highly entangled qubit states. The second consideration is that the d-dimensional qudit can be represented by a single particle. These two properties of qudits are considered in this paper to generalize the notion of quantum hashing. The latter is used to present a variant of a quantum protocol for secret key verification.