Programming quantum neural networks on NISQ systems: an overview of technologies and methodologies

S Markidis - Entropy, 2023 - mdpi.com
Noisy Intermediate-Scale Quantum (NISQ) systems and associated programming interfaces
make it possible to explore and investigate the design and development of quantum …

Nonlinear dynamics as a ground-state solution on quantum computers

AJ Pool, AD Somoza, C Mc Keever, M Lubasch… - Physical Review …, 2024 - APS
For the solution of time-dependent nonlinear differential equations, we present variational
quantum algorithms (VQAs) that encode both space and time in qubit registers. The …

Physics-Informed Quantum Machine Learning: Solving nonlinear differential equations in latent spaces without costly grid evaluations

AE Paine, VE Elfving, O Kyriienko - arXiv preprint arXiv:2308.01827, 2023 - arxiv.org
We propose a physics-informed quantum algorithm to solve nonlinear and multidimensional
differential equations (DEs) in a quantum latent space. We suggest a strategy for building …

Financial risk management on a neutral atom quantum processor

L Leclerc, L Ortiz-Gutiérrez, S Grijalva, B Albrecht… - Physical Review …, 2023 - APS
Machine learning models capable of handling the large data sets collected in the financial
world can often become black boxes expensive to run. The quantum computing paradigm …

How can quantum computing be applied in clinical trial design and optimization?

H Doga, A Bose, ME Sahin, J Bettencourt-Silva… - Trends in …, 2024 - cell.com
Clinical trials are necessary for assessing the safety and efficacy of treatments. However,
trial timelines are severely delayed with minimal success due to a multitude of factors …

What can we learn from quantum convolutional neural networks?

C Umeano, AE Paine, VE Elfving… - arXiv preprint arXiv …, 2023 - arxiv.org
We can learn from analyzing quantum convolutional neural networks (QCNNs) that: 1)
working with quantum data can be perceived as embedding physical system parameters …

Let quantum neural networks choose their own frequencies

B Jaderberg, AA Gentile, YA Berrada, E Shishenina… - Physical Review A, 2024 - APS
Parameterized quantum circuits as machine learning models are typically well described by
their representation as a partial Fourier series of the input features, with frequencies …

On physics-informed neural networks for quantum computers

S Markidis - Frontiers in Applied Mathematics and Statistics, 2022 - frontiersin.org
Physics-Informed Neural Networks (PINN) emerged as a powerful tool for solving scientific
computing problems, ranging from the solution of Partial Differential Equations to data …

Numerical evidence against advantage with quantum fidelity kernels on classical data

L Slattery, R Shaydulin, S Chakrabarti, M Pistoia… - Physical Review A, 2023 - APS
Quantum machine learning techniques are commonly considered one of the most promising
candidates for demonstrating practical quantum advantage. In particular, quantum kernel …

Protocols for classically training quantum generative models on probability distributions

S Kasture, O Kyriienko, VE Elfving - Physical Review A, 2023 - APS
Quantum generative modeling (QGM) relies on preparing quantum states and generating
samples from these states as hidden—or known—probability distributions. As distributions …