Pauli propagation enables fast classical simulation of strongly correlated quantum systems

arXiv:2511.21651 · quant-ph, physics.chem-ph, physics.comp-ph · Submitted 2025-11-26 · Read on arXiv

quant-ph, physics.chem-ph, physics.comp-ph

Submitted: 2025-11-26

Updated: 2026-09-22

Comments: This revision adds molecular example and clarifies fluctuation truncation

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Accuracy — 16× in this paper · explained in 1 episode
• Pauli Propagation — 15× in this paper
• Quantum Circuits — 14× in this paper · explained in 2 episodes
• Hubbard Model — 13× in this paper · explained in 3 episodes
• Benchmark — 12× in this paper · explained in 2 episodes
• Ab Initio — 3× in this paper · explained in 1 episode
• Sparse Pauli Dynamics — 3× in this paper
• Benchmarking — 2× in this paper · explained in 3 episodes
• Gradient Flow — 2× in this paper · explained in 2 episodes
• Sparsity — 2× in this paper · explained in 4 episodes
• Tensor Product Selected Configuration Interaction — 2× in this paper
• ADAPT-VMPE — 1× in this paper · explained in 1 episode
• Adaptive Algorithm — 1× in this paper · explained in 1 episode
• Anisotropy — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Interpretability — 1× in this paper · explained in 15 episodes
• Post-Selection — 1× in this paper · explained in 2 episodes

Sources

• DMRG Approach to Optimizing Two-Dimensional Tensor Networks
• Faster Methods for Contracting Infinite 2D Tensor Networks
• Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
• Scalable Simulation of Quantum Many-Body Dynamics with Or-Represented Quantum Algebra
• Grover's algorithm is an approximation of imaginary-time evolution
• Double-Bracket Algorithmic Cooling
• Strategies for optimizing double-bracket quantum algorithms
• Riemannian gradient descent-based quantum algorithms for ground state preparation with guarantees
• Randomized Gradient Descents on Riemannian Manifolds: Almost Sure Convergence to Global Minima in and beyond Quantum Optimization
• Equating quantum imaginary time evolution, Riemannian gradient flows, and stochastic implementations
• Scalable quantum circuit generation for iterative ground state approximation using Majorana Propagation
• The ITensor Software Library for Tensor Network Calculations
• Loop Series Expansions for Tensor Networks
• Gauging tensor networks with belief propagation

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