A comprehensive review of Quantum Machine Learning: from NISQ to Fault Tolerance
arXiv:2401.11351 · doi:10.1088/1361-6633/ad7f69
Abstract
Quantum machine learning, which involves running machine learning algorithms on quantum devices, has garnered significant attention in both academic and business circles. In this paper, we offer a comprehensive and unbiased review of the various concepts that have emerged in the field of quantum machine learning. This includes techniques used in Noisy Intermediate-Scale Quantum (NISQ) technologies and approaches for algorithms compatible with fault-tolerant quantum computing hardware. Our review covers fundamental concepts, algorithms, and the statistical learning theory pertinent to quantum machine learning.
arXiv comment28 pages. Invited review
References in corpus (120)
- Quantum Computing in the NISQ era and beyond
- Quantum Machine Learning
- A variational eigenvalue solver on a quantum processor
- Quantum algorithm for solving linear systems of equations
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- Supervised learning with quantum enhanced feature spaces
- Barren plateaus in quantum neural network training landscapes
- The theory of variational hybrid quantum-classical algorithms
- A Quantum Engineer's Guide to Superconducting Qubits
- Quantum support vector machine for big data classification
- A Quantum Approximate Optimization Algorithm
- Quantum principal component analysis
- Error mitigation for short-depth quantum circuits
- Quantum computing with trapped ions
- Predicting Many Properties of a Quantum System from Very Few Measurements
- Cost Function Dependent Barren Plateaus in Shallow Parametrized Quantum Circuits
- An adaptive variational algorithm for exact molecular simulations on a quantum computer
- Power of data in quantum machine learning
- Towards Practical Quantum Variational Algorithms
- Challenges and Opportunities in Quantum Machine Learning
- Quantum optimization using variational algorithms on near-term quantum devices
- Quantum algorithm for systems of linear equations with exponentially improved dependence on precision
- Data re-uploading for a universal quantum classifier
- Connecting ansatz expressibility to gradient magnitudes and barren plateaus
- 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
- Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
- Quantum algorithms for supervised and unsupervised machine learning
- Hybrid quantum-classical algorithms and quantum error mitigation
- Quantum machine learning: a classical perspective
- Propagating phonons coupled to an artificial atom
- Quantum measurements and the Abelian Stabilizer Problem
- Quantum Natural Gradient
- Chaos and complexity by design
- 10-qubit entanglement and parallel logic operations with a superconducting circuit
- Generalized Unitary Coupled Cluster Wavefunctions for Quantum Computation
- Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
- Training variational quantum algorithms is NP-hard
- A generative modeling approach for benchmarking and training shallow quantum circuits
- The randomized measurement toolbox
- Non-convex Optimization for Machine Learning
- Quantum Error Correction: An Introductory Guide
- Robust data encodings for quantum classifiers
- Variational quantum algorithms for nonlinear problems
- Prediction by linear regression on a quantum computer
- Information-theoretic bounds on quantum advantage in machine learning
- Chaos, Complexity, and Random Matrices
- On Lazy Training in Differentiable Programming
- Efficient quantum algorithm for dissipative nonlinear differential equations
- Provably efficient machine learning for quantum many-body problems
- Efficient Symmetry-Preserving State Preparation Circuits for the Variational Quantum Eigensolver Algorithm
- Effect of barren plateaus on gradient-free optimization
- Improving Variational Quantum Optimization using CVaR
- From transistor to trapped-ion computers for quantum chemistry
- A quantum linear system algorithm for dense matrices
- Hamiltonian Learning and Certification Using Quantum Resources
- Stochastic gradient descent for hybrid quantum-classical optimization
- Quantum machine learning beyond kernel methods
- Robust Online Hamiltonian Learning
- Structure optimization for parameterized quantum circuits
- Variational Quantum State Diagonalization
- Variational Quantum Linear Solver
- Efficient estimation of Pauli observables by derandomization
- Noise Resilience of Variational Quantum Compiling
- Sequential minimal optimization for quantum-classical hybrid algorithms
- Quantum algorithms for systems of linear equations inspired by adiabatic quantum computing
- Trainability of Dissipative Perceptron-Based Quantum Neural Networks
- Hardware-efficient quantum random access memory with hybrid quantum acoustic systems
- Theory of overparametrization in quantum neural networks
- Hardware-efficient variational quantum algorithms for time evolution
- Equivalence of quantum barren plateaus to cost concentration and narrow gorges
- Variational Quantum State Eigensolver
- Entanglement Devised Barren Plateau Mitigation
- Robust shadow estimation
- Quantum principal component analysis only achieves an exponential speedup because of its state preparation assumptions
- Methodology for replacing indirect measurements with direct measurements
- On the robustness of bucket brigade quantum RAM
- Low-depth gradient measurements can improve convergence in variational hybrid quantum-classical algorithms
- On barren plateaus and cost function locality in variational quantum algorithms
- JUNIPR: a Framework for Unsupervised Machine Learning in Particle Physics
- Spectral form factors and late time quantum chaos
- Machine learning of noise-resilient quantum circuits
- Classical Shadows With Noise
- Quantum Optimization with a Novel Gibbs Objective Function and Ansatz Architecture Search
- Sampling-based sublinear low-rank matrix arithmetic framework for dequantizing quantum machine learning
- Information Perspective to Probabilistic Modeling: Boltzmann Machines versus Born Machines
- Experimental Estimation of Quantum State Properties from Classical Shadows
- Towards understanding the power of quantum kernels in the NISQ era
- Computer-inspired Quantum Experiments
- Towards provably efficient quantum algorithms for large-scale machine-learning models
- Barren plateaus in quantum tensor network optimization
- Representation Learning via Quantum Neural Tangent Kernels
- Reinforcement Learning assisted Quantum Optimization
- Reformulation of the No-Free-Lunch Theorem for Entangled Data Sets
- Near-term quantum algorithms for linear systems of equations
- On the statistical complexity of quantum circuits
- Characterizing the loss landscape of variational quantum circuits
- On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points
- Tight bounds on the convergence of noisy random circuits to the uniform distribution
- Natural Evolutionary Strategies for Variational Quantum Computation
- Expressibility and trainability of parameterized analog quantum systems for machine learning applications
- Quantum Bootstrapping via Compressed Quantum Hamiltonian Learning
- Improved machine learning algorithm for predicting ground state properties
- Classical shadows with Pauli-invariant unitary ensembles
- A semi-agnostic ansatz with variable structure for quantum machine learning
- Learning Unitaries by Gradient Descent
- Policy Gradient based Quantum Approximate Optimization Algorithm
- Step-by-Step HHL Algorithm Walkthrough to Enhance the Understanding of Critical Quantum Computing Concepts
- Quantum Computer-Aided design of Quantum Optics Hardware
- Scrambling and decoding the charged quantum information
- Universal Quantum Emulator
- Effects of quantum resources on the statistical complexity of quantum circuits
- Natural evolution strategies and variational Monte Carlo
- Quantum Observables for continuous control of the Quantum Approximate Optimization Algorithm via Reinforcement Learning
- The battle of clean and dirty qubits in the era of partial error correction
- Quantifying fermionic nonlinearity of quantum circuits
- Fundamental causal bounds of quantum random access memories
- An Introduction to Error-Correcting Codes: From Classical to Quantum
- Predicting Ground State Properties: Constant Sample Complexity and Deep Learning Algorithms
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- Engineering tunable decoherence-free subspaces with collective atom-cavity interactions
- Data-Dependent Generalization Bounds for Parameterized Quantum Models Under Noise
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- Accelerating Quantum Eigensolver Algorithms With Machine Learning
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- Single-Qudit Quantum Neural Networks for Multiclass Classification
- Subsampling Factorization Machine Annealing
- TabularQGAN: A quantum generative model for tabular data synthesis
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- Superior resilience to poisoning and amenability to unlearning in quantum machine learning
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