A comprehensive study of quantum arithmetic circuits
In recent decades, the field of quantum computing has experienced remarkable progress.
This progress is marked by the superior performance of many quantum algorithms …
This progress is marked by the superior performance of many quantum algorithms …
Efficient quantum amplitude encoding of polynomial functions
Loading functions into quantum computers represents an essential step in several quantum
algorithms, such as quantum partial differential equation solvers. Therefore, the inefficiency …
algorithms, such as quantum partial differential equation solvers. Therefore, the inefficiency …
Quantum computing for fusion energy science applications
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 …
capabilities for fusion energy science applications. We begin with a brief tutorial on both …
Nonlinear transformations in quantum computation
While quantum computers are naturally well suited to implementing linear operations, it is
less clear how to implement nonlinear operations on quantum computers. However …
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 …
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
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 …
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
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 …
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 …
connection with the unique emergent properties of antenna arrays, that is, systems of …
Estimating quantum amplitudes can be exponentially improved
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 …
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
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 …
challenge in quantum computing. A key issue is how to address the inherent nonlinearity of …