Quantum Machine Learning for Chemistry and Physics
arXiv:2111.00851 · doi:10.1039/D2CS00203E
Abstract
Machine learning (ML) has emerged into formidable force for identifying hidden but pertinent patterns within a given data set with the objective of subsequent generation of automated predictive behavior. In the recent years, it is safe to conclude that ML and its close cousin deep learning (DL) have ushered unprecedented developments in all areas of physical sciences especially chemistry. Not only the classical variants of ML , even those trainable on near-term quantum hardwares have been developed with promising outcomes. Such algorithms have revolutionzed material design and performance of photo-voltaics, electronic structure calculations of ground and excited states of correlated matter, computation of force-fields and potential energy surfaces informing chemical reaction dynamics, reactivity inspired rational strategies of drug designing and even classification of phases of matter with accurate identification of emergent criticality. In this review we shall explicate a subset of such topics and delineate the contributions made by both classical and quantum computing enhanced machine learning algorithms over the past few years. We shall not only present a brief overview of the well-known techniques but also highlight their learning strategies using statistical physical insight. The objective of the review is to not only to foster exposition to the aforesaid techniques but also to empower and promote cross-pollination among future-research in all areas of chemistry which can benefit from ML and in turn can potentially accelerate the growth of such algorithms.
References in corpus (41)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- The density-matrix renormalization group in the age of matrix product states
- Quantum algorithm for solving linear systems of equations
- Surface codes: Towards practical large-scale quantum computation
- ANI-1: An extensible neural network potential with DFT accuracy at force field computational cost
- Simulated Quantum Computation of Molecular Energies
- Quantum computing with trapped ions
- A class of quantum many-body states that can be efficiently simulated
- Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
- Phase transitions of hybrid perovskites simulated by machine-learning force fields trained on-the-fly with Bayesian inference
- Criticality, the area law, and the computational power of PEPS
- Quantum Data Fitting
- Probing 10 μK stability and residual drifts in the cross-polarized dual-mode stabilization of single-crystal ultrahigh-Q optical resonators
- Tensor-entanglement renormalization group approach to 2D quantum systems
- Experimental Realization of Quantum Artificial Intelligence
- Simulating Strongly Correlated Quantum Systems with Tree Tensor Networks
- Experimental demonstration of topological error correction
- Superdense coding of quantum states
- Quantum Simulations of Classical Annealing Processes
- Physical realization of a quantum spin liquid based on a novel frustration mechanism
- Simulating a perceptron on a quantum computer
- Efficient Tree Tensor Network States (TTNS) for Quantum Chemistry: Generalizations of the Density Matrix Renormalization Group Algorithm
- Gaussian Process Regression for Geometry Optimization
- Quantum Graphical Models and Belief Propagation
- Solving the Bose-Hubbard model with machine learning
- Pure density functional for strong correlations and the thermodynamic limit from machine learning
- Training neural nets to learn reactive potential energy surfaces using interactive quantum chemistry in virtual reality
- Knowledge and ignorance in incomplete quantum state tomography
- Bayesian machine learning for quantum molecular dynamics
- Matrix product operators and states: NP-hardness and undecidability
- Implementation of Quantum Logic Gates Using Polar Molecules in Pendular States
- The Quantum Transverse Field Ising Model on an Infinite Tree from Matrix Product States
- Continuous-Variable Instantaneous Quantum Computing is hard to sample
- Quantum Imaginary Time Evolution Algorithm for Quantum Field Theories with Continuous Variables
- Incomplete quantum state estimation: a comprehensive study
- Efficient Combinatorial Optimization Using Quantum Annealing
- A tree tensor network approach to simulating Shor's algorithm
- Machine learning formation enthalpies of intermetallics
- Tree based machine learning framework for predicting ground state energies of molecules
- Convergence of reconstructed density matrix to a pure state using maximal entropy approach
- Success of digital adiabatic simulation with large Trotter step
Cited by in corpus (27)
- Quantum Machine Learning: from physics to software engineering
- Integrating Quantum Computing Resources into Scientific HPC Ecosystems
- Quantum Machine Learning in Drug Discovery: Applications in Academia and Pharmaceutical Industries
- Imaginary components of out-of-time correlators and information scrambling for navigating the learning landscape of a quantum machine learning model
- Dequantizing quantum machine learning models using tensor networks
- A General Approach to Dropout in Quantum Neural Networks
- Permutation Invariant Encodings for Quantum Machine Learning with Point Cloud Data
- Towards Perturbation Theory Methods on a Quantum Computer
- Reducing the Quantum Many-electron Problem to Two Electrons with Machine Learning
- Variational Approach to Quantum State Tomography based on Maximal Entropy Formalism
- Quantum Extreme Learning of molecular potential energy surfaces and force fields
- Magnetic Phases of Spatially-Modulated Spin-1 Chains in Rydberg Excitons: Classical and Quantum Simulations
- An Iterative Method to Improve the Precision of Quantum Phase Estimation Algorithm
- Variational quantum computing for quantum simulation: principles, implementations, and challenges
- Hamiltonian learning from time dynamics using variational algorithms
- The Role of Quantum Computing in Advancing Scientific High-Performance Computing: A perspective from the ADAC Institute
- QuForge: A Library for Qudits Simulation
- Quantum machine learning for multiclass classification beyond kernel methods
- Random Projection using Random Quantum Circuits
- Quantum Machine Learning of Molecular Energies with Hybrid Quantum-Neural Wavefunction
- A Quantum Framework for Protein Binding-Site Structure Prediction on Utility-Level Quantum Processors
- Property-guided Inverse Design of Metal-Organic Frameworks Using Quantum Natural Language Processing
- Analogy between Boltzmann machines and Feynman path integrals
- Properties of fermionic systems with the Path-integral ground state method
- Subsampling Factorization Machine Annealing
- Differentiable Architecture Search for Adversarially Robust Quantum Computer Vision
- Learning Minimal Representations of Fermionic Ground States