A comprehensive study of quantum arithmetic circuits

S Wang, X Li, WJB Lee, S Deb… - Philosophical …, 2025 - royalsocietypublishing.org
In recent decades, the field of quantum computing has experienced remarkable progress.
This progress is marked by the superior performance of many quantum algorithms …

Efficient quantum amplitude encoding of polynomial functions

J Gonzalez-Conde, TW Watts, P Rodriguez-Grasa… - Quantum, 2024 - quantum-journal.org
Loading functions into quantum computers represents an essential step in several quantum
algorithms, such as quantum partial differential equation solvers. Therefore, the inefficiency …

Quantum computing for fusion energy science applications

I Joseph, Y Shi, MD Porter, AR Castelli, VI Geyko… - Physics of …, 2023 - pubs.aip.org
This is a review of recent research exploring and extending present-day quantum computing
capabilities for fusion energy science applications. We begin with a brief tutorial on both …

Nonlinear transformations in quantum computation

Z Holmes, NJ Coble, AT Sornborger, Y Subaşı - Physical Review Research, 2023 - APS
While quantum computers are naturally well suited to implementing linear operations, it is
less clear how to implement nonlinear operations on quantum computers. However …

Non-linear transformations of quantum amplitudes: Exponential improvement, generalization, and applications

AG Rattew, P Rebentrost - arxiv preprint arxiv:2309.09839, 2023 - arxiv.org
Quantum algorithms manipulate the amplitudes of quantum states to find solutions to
computational problems. In this work, we present a framework for applying a general class of …

Quantum linear algebra is all you need for Transformer architectures

N Guo, Z Yu, M Choi, A Agrawal, K Nakaji… - arxiv preprint arxiv …, 2024 - arxiv.org
Generative machine learning methods such as large-language models are revolutionizing
the creation of text and images. While these models are powerful they also harness a large …

Conditions for a quadratic quantum speedup in nonlinear transforms with applications to energy contract pricing

G Agliardi, C O'Meara, K Yogaraj… - Quantum Science …, 2025 - iopscience.iop.org
Computing nonlinear functions over multilinear forms is a general problem with applications
in risk analysis. For instance in the domain of energy economics, accurate and timely risk …

The stochastic organization of genomes and the doctrine of energy-information evolution based on bio-antenna arrays

SV Petoukhov - Biosystems, 2022 - Elsevier
The article is devoted to the possibilities of considering the evolution of biological systems in
connection with the unique emergent properties of antenna arrays, that is, systems of …

Estimating quantum amplitudes can be exponentially improved

ZX Shang, Q Zhao - arxiv preprint arxiv:2408.13721, 2024 - arxiv.org
Estimating quantum amplitudes is a fundamental task in quantum computing and serves as
a core subroutine in numerous quantum algorithms. In this work, we present a novel …

The quantum path kernel: A generalized neural tangent kernel for deep quantum machine learning

M Incudini, M Grossi, A Mandarino… - IEEE Transactions …, 2023 - ieeexplore.ieee.org
Building a quantum analog of classical deep neural networks represents a fundamental
challenge in quantum computing. A key issue is how to address the inherent nonlinearity of …