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 …

Quantum convolutional neural networks are (effectively) classically simulable

P Bermejo, P Braccia, MS Rudolph, Z Holmes… - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum Convolutional Neural Networks (QCNNs) are widely regarded as a promising
model for Quantum Machine Learning (QML). In this work we tie their heuristic success to …

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 …

[PDF][PDF] Quantum vision transformers

EA Cherrat, I Kerenidis, N Mathur… - arxiv preprint arxiv …, 2022 - quantum-journal.org
Jonas Landman: jonas. landman@ qcware. com we trained on these small-scale datasets
require fewer parameters compared to standard classical benchmarks. While this …

Computing exact moments of local random quantum circuits via tensor networks

P Braccia, P Bermejo, L Cincio, M Cerezo - Quantum Machine Intelligence, 2024 - Springer
A basic primitive in quantum information is the computation of the moments EU [Tr [U ρ U†
O] t]. These describe the distribution of expectation values obtained by sending a state ρ …

On the relation between trainability and dequantization of variational quantum learning models

E Gil-Fuster, C Gyurik, A Pérez-Salinas… - arxiv preprint arxiv …, 2024 - arxiv.org
The quest for successful variational quantum machine learning (QML) relies on the design of
suitable parametrized quantum circuits (PQCs), as analogues to neural networks in classical …

Architectures and random properties of symplectic quantum circuits

D García-Martín, P Braccia, M Cerezo - arxiv preprint arxiv:2405.10264, 2024 - arxiv.org
Parametrized and random unitary (or orthogonal) $ n $-qubit circuits play a central role in
quantum information. As such, one could naturally assume that circuits implementing …

Training-efficient density quantum machine learning

B Coyle, EA Cherrat, N Jain, N Mathur, S Raj… - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum machine learning requires powerful, flexible and efficiently trainable models to be
successful in solving challenging problems. In this work, we present density quantum neural …

Quantum vision transformers

I Kerenidis, N Mathur, J Landman, M Strahm, YY Li - Quantum, 2024 - quantum-journal.org
In this work, quantum transformers are designed and analysed in detail by extending the
state-of-the-art classical transformer neural network architectures known to be very …