Multifractal and Glassy Signatures of Non-Ergodic 2D Quantum Dynamics

arXiv:2601.01309 · quant-ph, cond-mat.dis-nn · Submitted 2026-01-04 · Read on arXiv

quant-ph, cond-mat.dis-nn

Submitted: 2026-01-04

Updated: 2026-09-16

Terminology

• Hilbert Space — 18× in this paper · explained in 2 episodes
• Hamming Distance — 17× in this paper · explained in 2 episodes
• Intrinsic Dimension — 8× in this paper · explained in 2 episodes
• Binary Intrinsic Dimension — 6× in this paper
• Wave-Function Network — 4× in this paper
• Effective Hamiltonian — 3× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Clustering — 2× in this paper · explained in 2 episodes
• Principal Component Analysis — 2× in this paper
• Principal Component Analysis (PCA) — 2× in this paper · explained in 4 episodes
• Adjacency Matrix — 1× in this paper · explained in 1 episode
• Calibration — 1× in this paper · explained in 7 episodes
• Core — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Network theory classification of quantum matter based on wave function snapshots
• Many-body delocalization with a two-dimensional 70-qubit superconducting quantum simulator
• Stability of many-body localization in two dimensions
• The dimensionality of the Hopfield model
• Topological Quantum Spin Glass Order and its realization in qLDPC codes
• Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains

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