Challenges and Opportunities in Quantum Machine Learning
arXiv:2303.09491 · doi:10.1038/s43588-022-00311-3
Abstract
At the intersection of machine learning and quantum computing, Quantum Machine Learning (QML) has the potential of accelerating data analysis, especially for quantum data, with applications for quantum materials, biochemistry, and high-energy physics. Nevertheless, challenges remain regarding the trainability of QML models. Here we review current methods and applications for QML. We highlight differences between quantum and classical machine learning, with a focus on quantum neural networks and quantum deep learning. Finally, we discuss opportunities for quantum advantage with QML.
arXiv comment14 pages, 5 figures
References in corpus (83)
- Quantum Computing in the NISQ era and beyond
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Quantum Machine Learning
- A variational eigenvalue solver on a quantum processor
- Quantum sensing
- Advances in Quantum Metrology
- Variational Quantum Algorithms
- Quantum Simulation
- Supervised learning with quantum enhanced feature spaces
- Barren plateaus in quantum neural network training landscapes
- Quantum support vector machine for big data classification
- Quantum machine learning in feature Hilbert spaces
- Quantum Convolutional Neural Networks
- Error mitigation for short-depth quantum circuits
- An introduction to quantum machine learning
- Cost Function Dependent Barren Plateaus in Shallow Parametrized Quantum Circuits
- Simulating Hamiltonian dynamics with a truncated Taylor series
- The effect of data encoding on the expressive power of variational quantum machine learning models
- Power of data in quantum machine learning
- Efficient Learning for Deep Quantum Neural Networks
- The quest for a Quantum Neural Network
- Connecting ansatz expressibility to gradient magnitudes and barren plateaus
- Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges
- Variational ansatz-based quantum simulation of imaginary time evolution
- A rigorous and robust quantum speed-up in supervised machine learning
- Quantum advantage in learning from experiments
- Hybrid quantum-classical algorithms and quantum error mitigation
- Theoretical framework for quantum networks
- Quantum generative adversarial networks
- Generalization in quantum machine learning from few training data
- Quantum Natural Gradient
- Training variational quantum algorithms is NP-hard
- Continuous-variable quantum neural networks
- Quantum Error Correction: An Introductory Guide
- Robust data encodings for quantum classifiers
- Quantum generalisation of feedforward neural networks
- Information-theoretic bounds on quantum advantage in machine learning
- Learning the quantum algorithm for state overlap
- Experimental Quantum Hamiltonian Learning
- Provably efficient machine learning for quantum many-body problems
- Variational Fast Forwarding for Quantum Simulation Beyond the Coherence Time
- A quantum-inspired classical algorithm for recommendation systems
- Effect of barren plateaus on gradient-free optimization
- Unsupervised Machine Learning on a Hybrid Quantum Computer
- Diagnosing Barren Plateaus with Tools from Quantum Optimal Control
- Stochastic gradient descent for hybrid quantum-classical optimization
- Quantum agents in the Gym: a variational quantum algorithm for deep Q-learning
- Variational Quantum State Diagonalization
- Noise Resilience of Variational Quantum Compiling
- Exploiting symmetry in variational quantum machine learning
- Experimental quantum speed-up in reinforcement learning agents
- Trainability of Dissipative Perceptron-Based Quantum Neural Networks
- Group-Invariant Quantum Machine Learning
- Generalization in Quantum Machine Learning: a Quantum Information Perspective
- Large gradients via correlation in random parameterized quantum circuits
- Training Quantum Embedding Kernels on Near-Term Quantum Computers
- Equivalence of quantum barren plateaus to cost concentration and narrow gorges
- Focus beyond quadratic speedups for error-corrected quantum advantage
- Entanglement Devised Barren Plateau Mitigation
- Barren plateaus preclude learning scramblers
- Higher Order Derivatives of Quantum Neural Networks with Barren Plateaus
- An Adaptive Optimizer for Measurement-Frugal Variational Algorithms
- A variational toolbox for quantum multi-parameter estimation
- On barren plateaus and cost function locality in variational quantum algorithms
- Machine learning of noise-resilient quantum circuits
- q-means: A quantum algorithm for unsupervised machine learning
- Sampling-based sublinear low-rank matrix arithmetic framework for dequantizing quantum machine learning
- Quantum Variational Optimization of Ramsey Interferometry and Atomic Clocks
- Multiparameter optimisation of a magneto-optical trap using deep learning
- Variational Quantum Algorithm for Estimating the Quantum Fisher Information
- Learning to learn with quantum neural networks via classical neural networks
- Out-of-distribution generalization for learning quantum dynamics
- Reformulation of the No-Free-Lunch Theorem for Entangled Data Sets
- Quantum Graph Neural Networks
- Quantum Hamiltonian-Based Models and the Variational Quantum Thermalizer Algorithm
- Spatial noise filtering through error correction for quantum sensing
- Prospects and challenges of quantum finance
- Learning Unitaries by Gradient Descent
- Entangled Datasets for Quantum Machine Learning
- The battle of clean and dirty qubits in the era of partial error correction
- Quantifying fermionic nonlinearity of quantum circuits
- Adaptive shot allocation for fast convergence in variational quantum algorithms
- A Hierarchy for Replica Quantum Advantage
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- High-Accuracy Temporal Prediction via Experimental Quantum Reservoir Computing in Correlated Spins
- A Parameter-Efficient Quantum Anomaly Detection Method on a Superconducting Quantum Processor
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