Machine learning for sample-based quantum diagonalization: a review of generative configuration recovery and the classical-simulability frontier
quant-ph, physics.chem-ph
Submitted: 2026-08-05
Updated: 2026-09-18
Code: https://github.com/nicolasbonilla/ml-for-sqd-review
Terminology
Sources
- Heat-bath Configuration Interaction: An efficient selected CI algorithm inspired by heat-bath sampling
- Semistochastic Heat-bath Configuration Interaction method: selected configuration interaction with semistochastic perturbation theory
- Barren Plateaus in Variational Quantum Computing
- Does provable absence of barren plateaus imply classical simulability?
- Quantum-Selected Configuration Interaction: classical diagonalization of Hamiltonians in subspaces selected by quantum computers
- Chemistry Beyond the Scale of Exact Diagonalization on a Quantum-Centric Supercomputer
- Closed-loop calculations of electronic structure on a quantum processor and a classical supercomputer at full scale
- Sample-based quantum diagonalization as parallel fragment solver for the localized active space self-consistent field method
- Critical Limitations in Quantum-Selected Configuration Interaction Methods
- Physics-Informed Generative Machine Learning for Accelerated Quantum-centric Supercomputing
- Machine-Learned Compact Subspace Generation for Quantum Selected Configuration Interaction within Density Matrix Embedding Framework
- An Iterative Dual-Channel Neural Quantum State Algorithm for Selected Configuration Interaction
- Neural Quantum States Based on Selected Configurations
- Enhancing quantum-classical configuration interaction methods using a neural-network classifier
- Learning to Rank for Selected Configuration Interaction
- Generative Circuit Design for Quantum-Selected Configuration Interaction
- A Critical Assessment of the Sample-Based Quantum Diagonalization for Heisenberg and Hubbard Models
- Noise and Configuration Recovery Impact on Quantum Selected Configuration Interaction
- Efficient classical simulation of large-scale unitary cluster Jastrow circuits
- Hardness of classically sampling quantum chemistry circuits
Related papers
- Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
- Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
- Polynomial-time classical and quantum simulation of quantum impurity models
- Theory of quantum-enhanced interferometry with general Markovian light sources
- A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
- Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity