Hamiltonian Monte Carlo enhanced by Exact Diagonalization

arXiv:2603.17788 · cond-mat.str-el, hep-lat, physics.comp-ph · Submitted 2026-03-18 · Read on arXiv

cond-mat.str-el, hep-lat, physics.comp-ph

Submitted: 2026-03-18

Updated: 2026-03-18

Terminology

• Trace — 35× in this paper · explained in 2 episodes
• Hilbert Space — 14× in this paper · explained in 2 episodes
• Accuracy — 7× in this paper · explained in 1 episode
• Decoupling — 6× in this paper · explained in 2 episodes
• Hubbard Model — 6× in this paper · explained in 3 episodes
• Entanglement — 4× in this paper · explained in 4 episodes
• Benchmark — 3× in this paper · explained in 2 episodes
• Curse of Dimensionality — 2× in this paper · explained in 6 episodes
• Hybrid Approach — 2× in this paper · explained in 4 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Benchmarking — 1× in this paper · explained in 4 episodes
• Core — 1× in this paper · explained in 2 episodes
• ED and Hamiltonian Monte Carlo — 1× in this paper

Sources

• Matrix Product State Representations
• Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
• Valence Bond Solids for Quantum Computation
• The computational complexity of PEPS
• Simulation of two-dimensional quantum systems using a tree tensor network that exploits the entropic area law
• Simulating Strongly Correlated Quantum Systems with Tree Tensor Networks
• The Augmented Tree Tensor Network Cookbook
• Stochastic and Tensor Network simulations of the Hubbard Model
• Hybrid Monte Carlo Simulation of Graphene on the Hexagonal Lattice
• Single Particle Spectrum of Doped $\mathrm{C}_{20}\mathrm{H}_{12}$-Perylene
• Hybrid Monte Carlo for Fractional Quantum Hall States
• Sign problem in tensor network contraction
• Fusing matrix-product states with quantum Monte Carlo: reducing entanglement and sign problem at the same time
• Hybrid quantum-classical matrix-product state and Lanczos methods for electron-phonon systems with strong electronic correlations: Application to disordered systems coupled to Einstein phonons
• The Physicist's Guide to the HMC
• Efficient Trotter-Suzuki Schemes for Long-time Quantum Dynamics
• Minimal Autocorrelation in Hybrid Monte Carlo simulations using Exact Fourier Acceleration
• Algorithms for Dynamical Fermions
• Exponential speed up in Monte Carlo sampling through Radial Updates

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