Quantum variational algorithms are swamped with traps

ER Anschuetz, BT Kiani - Nature Communications, 2022 - nature.com
One of the most important properties of classical neural networks is how surprisingly
trainable they are, though their training algorithms typically rely on optimizing complicated …

Quantum computing with and for many-body physics

T Ayral, P Besserve, D Lacroix… - The European Physical …, 2023 - Springer
Quantum computing technologies are making steady progress. This has opened new
opportunities for tackling problems whose complexity prevents their description on classical …

Theory of overparametrization in quantum neural networks

M Larocca, N Ju, D García-Martín, PJ Coles… - Nature Computational …, 2023 - nature.com
The prospect of achieving quantum advantage with quantum neural networks (QNNs) is
exciting. Understanding how QNN properties (for example, the number of parameters M) …

Quantum computing in power systems

Y Zhou, Z Tang, N Nikmehr, P Babahajiani, F Feng… - IEnergy, 2022 - ieeexplore.ieee.org
Electric power systems provide the backbone of modern industrial societies. Enabling
scalable grid analytics is the keystone to successfully operating large transmission and …

Understanding quantum machine learning also requires rethinking generalization

E Gil-Fuster, J Eisert, C Bravo-Prieto - Nature Communications, 2024 - nature.com
Quantum machine learning models have shown successful generalization performance
even when trained with few data. In this work, through systematic randomization …

Absence of barren plateaus in finite local-depth circuits with long-range entanglement

HK Zhang, S Liu, SX Zhang - Physical Review Letters, 2024 - APS
Ground state preparation is classically intractable for general Hamiltonians. On quantum
devices, shallow parametrized circuits can be effectively trained to obtain short-range …

TETRIS-ADAPT-VQE: An adaptive algorithm that yields shallower, denser circuit Ansätze

PG Anastasiou, Y Chen, NJ Mayhall, E Barnes… - Physical Review …, 2024 - APS
Adaptive quantum variational algorithms are particularly promising for simulating strongly
correlated systems on near-term quantum hardware, but they are not yet viable due, in large …

A practitioner's guide to quantum algorithms for optimisation problems

BCB Symons, D Galvin, E Sahin… - Journal of Physics A …, 2023 - iopscience.iop.org
Quantum computing is gaining popularity across a wide range of scientific disciplines due to
its potential to solve long-standing computational problems that are considered intractable …

Optimizing quantum circuits with Riemannian gradient flow

R Wiersema, N Killoran - Physical Review A, 2023 - APS
Variational quantum algorithms are a promising class of algorithms that can be performed
on currently available quantum computers. In most settings, the free parameters of a …

Classification of dynamical Lie algebras for translation-invariant 2-local spin systems in one dimension

R Wiersema, E Kökcü, AF Kemper… - arXiv preprint arXiv …, 2023 - arxiv.org
Much is understood about 1-dimensional spin chains in terms of entanglement properties,
physical phases, and integrability. However, the Lie algebraic properties of the Hamiltonians …