Connecting ansatz expressibility to gradient magnitudes and barren plateaus

Z Holmes, K Sharma, M Cerezo, PJ Coles - PRX Quantum, 2022 - APS
Parametrized quantum circuits serve as ansatze for solving variational problems and
provide a flexible paradigm for the programming of near-term quantum computers. Ideally …

Exploiting symmetry in variational quantum machine learning

JJ Meyer, M Mularski, E Gil-Fuster, AA Mele, F Arzani… - PRX Quantum, 2023 - APS
Variational quantum machine learning is an extensively studied application of near-term
quantum computers. The success of variational quantum learning models crucially depends …

Group-invariant quantum machine learning

M Larocca, F Sauvage, FM Sbahi, G Verdon, PJ Coles… - PRX Quantum, 2022 - APS
Quantum machine learning (QML) models are aimed at learning from data encoded in
quantum states. Recently, it has been shown that models with little to no inductive biases (ie …

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 …

Cost function dependent barren plateaus in shallow parametrized quantum circuits

M Cerezo, A Sone, T Volkoff, L Cincio… - Nature communications, 2021 - nature.com
Variational quantum algorithms (VQAs) optimize the parameters θ of a parametrized
quantum circuit V (θ) to minimize a cost function C. While VQAs may enable practical …

Absence of barren plateaus in quantum convolutional neural networks

A Pesah, M Cerezo, S Wang, T Volkoff, AT Sornborger… - Physical Review X, 2021 - APS
Quantum neural networks (QNNs) have generated excitement around the possibility of
efficiently analyzing quantum data. But this excitement has been tempered by the existence …

Diagnosing barren plateaus with tools from quantum optimal control

M Larocca, P Czarnik, K Sharma, G Muraleedharan… - Quantum, 2022 - quantum-journal.org
Abstract Variational Quantum Algorithms (VQAs) have received considerable attention due
to their potential for achieving near-term quantum advantage. However, more work is …

Barren plateaus in quantum neural network training landscapes

JR McClean, S Boixo, VN Smelyanskiy… - Nature …, 2018 - nature.com
Many experimental proposals for noisy intermediate scale quantum devices involve training
a parameterized quantum circuit with a classical optimization loop. Such hybrid quantum …

Theoretical guarantees for permutation-equivariant quantum neural networks

L Schatzki, M Larocca, QT Nguyen, F Sauvage… - npj Quantum …, 2024 - nature.com
Despite the great promise of quantum machine learning models, there are several
challenges one must overcome before unlocking their full potential. For instance, models …

Entanglement devised barren plateau mitigation

TL Patti, K Najafi, X Gao, SF Yelin - Physical Review Research, 2021 - APS
Hybrid quantum-classical variational algorithms are one of the most propitious
implementations of quantum computing on near-term devices, offering classical machine …