Challenges and opportunities in quantum machine learning
At the intersection of machine learning and quantum computing, quantum machine learning
has the potential of accelerating data analysis, especially for quantum data, with …
has the potential of accelerating data analysis, especially for quantum data, with …
Representation theory for geometric quantum machine learning
Recent advances in classical machine learning have shown that creating models with
inductive biases encoding the symmetries of a problem can greatly improve performance …
inductive biases encoding the symmetries of a problem can greatly improve performance …
Theory for equivariant quantum neural networks
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 …
face trainability and generalization issues. Inspired by a similar problem, recent …
Theoretical guarantees for permutation-equivariant quantum neural networks
Despite the great promise of quantum machine learning models, there are several
challenges one must overcome before unlocking their full potential. For instance, models …
challenges one must overcome before unlocking their full potential. For instance, models …
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 …
deep understanding of representation theory, posing a challenge for beginners. This tutorial …
Does provable absence of barren plateaus imply classical simulability? Or, why we need to rethink variational quantum computing
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 …
phenomenon. In this perspective article, we face the increasingly loud elephant in the room …
Exponential concentration in quantum kernel methods
Abstract Kernel methods in Quantum Machine Learning (QML) have recently gained
significant attention as a potential candidate for achieving a quantum advantage in data …
significant attention as a potential candidate for achieving a quantum advantage in data …
Exponential concentration and untrainability in quantum kernel methods
Kernel methods in Quantum Machine Learning (QML) have recently gained significant
attention as a potential candidate for achieving a quantum advantage in data analysis …
attention as a potential candidate for achieving a quantum advantage in data analysis …
Understanding quantum machine learning also requires rethinking generalization
Quantum machine learning models have shown successful generalization performance
even when trained with few data. In this work, through systematic randomization …
even when trained with few data. In this work, through systematic randomization …
Avoiding barren plateaus via transferability of smooth solutions in a Hamiltonian variational ansatz
A large ongoing research effort focuses on variational quantum algorithms (VQAs),
representing leading candidates to achieve computational speed-ups on current quantum …
representing leading candidates to achieve computational speed-ups on current quantum …