Theory for equivariant quantum neural networks

QT Nguyen, L Schatzki, P Braccia, M Ragone, PJ Coles… - PRX Quantum, 2024 - APS
Quantum neural network architectures that have little to no inductive biases are known to
face trainability and generalization issues. Inspired by a similar problem, recent …

Trainability barriers and opportunities in quantum generative modeling

MS Rudolph, S Lerch, S Thanasilp, O Kiss… - npj Quantum …, 2024 - nature.com
Quantum generative models provide inherently efficient sampling strategies and thus show
promise for achieving an advantage using quantum hardware. In this work, we investigate …

Problem-dependent power of quantum neural networks on multiclass classification

Y Du, Y Yang, D Tao, MH Hsieh - Physical Review Letters, 2023 - APS
Quantum neural networks (QNNs) have become an important tool for understanding the
physical world, but their advantages and limitations are not fully understood. Some QNNs …

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 …

[HTML][HTML] 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 …

Gate-based quantum simulation of Gaussian bosonic circuits on exponentially many modes

A Barthe, M Cerezo, AT Sornborger, M Larocca… - Physical Review Letters, 2025 - APS
We introduce a framework for simulating, on an (n+ 1)-qubit quantum computer, the action of
a Gaussian bosonic (GB) circuit on a state over 2 n modes. Specifically, we encode the initial …

[PDF][PDF] Koopman von Neumann mechanics and the Koopman representation: A perspective on solving nonlinear dynamical systems with quantum computers

YT Lin, RB Lowrie, D Aslangil, Y Subaşı… - arxiv preprint arxiv …, 2022 - academia.edu
A number of recent studies have proposed that linear representations are appropriate for
solving nonlinear dynamical systems with quantum computers, which fundamentally act …

Censorship of quantum resources in quantum networks

J Pinske, K Mølmer - Physical Review A, 2024 - APS
We may soon see agencies offering public access to quantum communication networks. In
such networks it may be a feature that certain resources are available only to priority users …

Nonlinear-ancilla aided quantum algorithm for nonlinear Schr\" odinger equations

A Großardt - arxiv preprint arxiv:2403.10102, 2024 - arxiv.org
We present an algorithm that uses a single ancilla qubit that can evolve nonlinearly, and
show how to use it to efficiently solve generic nonlinear Schr\" odinger equations, including …

Limitations for quantum algorithms to solve turbulent and chaotic systems

D Lewis, S Eidenbenz, B Nadiga, Y Subaşı - Quantum, 2024 - quantum-journal.org
We investigate the limitations of quantum computers for solving nonlinear dynamical
systems. In particular, we tighten the worst-case bounds of the quantum Carleman …