Challenges and opportunities in quantum machine learning

M Cerezo, G Verdon, HY Huang, L Cincio… - Nature computational …, 2022 - nature.com
At the intersection of machine learning and quantum computing, quantum machine learning
has the potential of accelerating data analysis, especially for quantum data, with …

Quantum computing for high-energy physics: State of the art and challenges

A Di Meglio, K Jansen, I Tavernelli, C Alexandrou… - PRX Quantum, 2024 - APS
Quantum computers offer an intriguing path for a paradigmatic change of computing in the
natural sciences and beyond, with the potential for achieving a so-called quantum …

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 …

Introduction to Haar measure tools in quantum information: A beginner's tutorial

AA Mele - Quantum, 2024 - quantum-journal.org
The Haar measure plays a vital role in quantum information, but its study often requires a
deep understanding of representation theory, posing a challenge for beginners. This tutorial …

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) …

Better than classical? the subtle art of benchmarking quantum machine learning models

J Bowles, S Ahmed, M Schuld - arxiv preprint arxiv:2403.07059, 2024 - arxiv.org
Benchmarking models via classical simulations is one of the main ways to judge ideas in
quantum machine learning before noise-free hardware is available. However, the huge …

Exponential concentration in quantum kernel methods

S Thanasilp, S Wang, M Cerezo, Z Holmes - Nature communications, 2024 - nature.com
Abstract Kernel methods in Quantum Machine Learning (QML) have recently gained
significant attention as a potential candidate for achieving a quantum advantage in data …

Characterizing barren plateaus in quantum ansätze with the adjoint representation

E Fontana, D Herman, S Chakrabarti, N Kumar… - Nature …, 2024 - nature.com
Variational quantum algorithms, a popular heuristic for near-term quantum computers, utilize
parameterized quantum circuits which naturally express Lie groups. It has been postulated …

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 …

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 …