Transforms Archives - IEEE Transactions on Quantum Engineering

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

November 2, 2022Guangsheng MaOpen Access, Quantum ComputingHandheld computers, Image processing, Image reconstruction, Noise reduction, Quantum algorithm, Quantum computing, Transforms

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 […]