A Lie algebraic theory of barren plateaus for deep parameterized quantum circuits

M Ragone, BN Bakalov, F Sauvage, AF Kemper… - Nature …, 2024 - nature.com
Variational quantum computing schemes train a loss function by sending an initial state
through a parametrized quantum circuit, and measuring the expectation value of some …

A unified theory of barren plateaus for deep parametrized quantum circuits

M Ragone, BN Bakalov, F Sauvage… - arXiv e …, 2023 - ui.adsabs.harvard.edu
Variational quantum computing schemes have received considerable attention due to their
high versatility and potential to make practical use of near-term quantum devices. At their …

A review of barren plateaus in variational quantum computing

M Larocca, S Thanasilp, S Wang, K Sharma… - arXiv preprint arXiv …, 2024 - arxiv.org
Variational quantum computing offers a flexible computational paradigm with applications in
diverse areas. However, a key obstacle to realizing their potential is the Barren Plateau (BP) …

Does provable absence of barren plateaus imply classical simulability? Or, why we need to rethink variational quantum computing

M Cerezo, M Larocca, D García-Martín, NL Diaz… - arXiv preprint arXiv …, 2023 - arxiv.org
A large amount of effort has recently been put into understanding the barren plateau
phenomenon. In this perspective article, we face the increasingly loud elephant in the room …

Trainability barriers and opportunities in quantum generative modeling

MS Rudolph, S Lerch, S Thanasilp, O Kiss… - arXiv preprint arXiv …, 2023 - arxiv.org
Quantum generative models, in providing inherently efficient sampling strategies, show
promise for achieving a near-term advantage on quantum hardware. Nonetheless, important …

Showcasing a barren plateau theory beyond the dynamical lie algebra

NL Diaz, D García-Martín, S Kazi, M Larocca… - arXiv preprint arXiv …, 2023 - arxiv.org
Barren plateaus have emerged as a pivotal challenge for variational quantum computing.
Our understanding of this phenomenon underwent a transformative shift with the recent …

Do quantum circuit born machines generalize?

K Gili, M Hibat-Allah, M Mauri, C Ballance… - Quantum Science …, 2023 - iopscience.iop.org
In recent proposals of quantum circuit models for generative tasks, the discussion about their
performance has been limited to their ability to reproduce a known target distribution. For …

Tight and efficient gradient bounds for parameterized quantum circuits

A Letcher, S Woerner, C Zoufal - Quantum, 2024 - quantum-journal.org
The training of a parameterized model largely depends on the landscape of the underlying
loss function. In particular, vanishing gradients are a central bottleneck in the scalability of …

Protocols for trainable and differentiable quantum generative modeling

O Kyriienko, AE Paine, VE Elfving - Physical Review Research, 2024 - APS
We propose an approach for learning probability distributions as differentiable quantum
circuits (DQC) that enable efficient quantum generative modeling (QGM) and synthetic data …

ORQVIZ: visualizing high-dimensional landscapes in variational quantum algorithms

MS Rudolph, S Sim, A Raza, M Stechly… - arXiv preprint arXiv …, 2021 - arxiv.org
Variational Quantum Algorithms (VQAs) are promising candidates for finding practical
applications of near to mid-term quantum computers. There has been an increasing effort to …