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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 …
Quantum computing for high-energy physics: State of the art and challenges
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 …
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
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 …
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 …
A review of barren plateaus in variational quantum computing
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) …
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
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 …
quantum machine learning before noise-free hardware is available. However, the huge …
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 …
Characterizing barren plateaus in quantum ansätze with the adjoint representation
Variational quantum algorithms, a popular heuristic for near-term quantum computers, utilize
parameterized quantum circuits which naturally express Lie groups. It has been postulated …
parameterized quantum circuits which naturally express Lie groups. It has been postulated …
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 …
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 …