A Stable Hash Function Based on Parity-Dependent Quantum Walks With Memory (August 2023)

In this article, we develop a generic controlled alternate quantum walk model by combining parity-dependent quantum walks with distinct arbitrary memory lengths and propose a hash function (called QHFM-P) based on this model. The statistical properties of the proposed scheme are stable with respect to the coin parameters of the underlying controlled quantum walks, and […]

A Stable Hash Function Based on Parity-dependent Quantum Walks with Memory (August 2023)

In this paper, we develop a generic controlled alternate quantum-walk model (called CQWMP) by combining parity-dependent quantum walks with distinct arbitrary memory lengths and propose a hash function (called QHFM-P) based on this model. The statistical properties of the proposed scheme are stable with respect to the coin parameters of the underlying controlled quantum walks; […]

Hash Function Based on Controlled Alternate Quantum Walks With Memory (September 2021)

We propose a Quantum inspired Hash Function using controlled alternate quantum walks with Memory on cycles (QHFM), where the j th message bit decides whether to run quantum walk with one-step memory or to run quantum walk with two-step memory at the j th time step, and the hash value is calculated from the resulting probability distribution of the […]

Quantum Radon Transforms and Their Applications

This article extends the Radon transform, a classical image-processing tool for fast tomography and denoising, to the quantum computing platform. A new kind of periodic discrete Radon transform (PDRT), called the quantum periodic discrete Radon transform (QPRT), is proposed. The quantum implementation of QPRT based on the amplitude encoding method is exponentially faster than the […]