Collectivity limits quantum entanglement

arXiv:2609.36113 · quant-ph, cond-mat.dis-nn, cond-mat.stat-mech, math-ph, math.MP · Submitted 2026-09-28 · Read on arXiv

quant-ph, cond-mat.dis-nn, cond-mat.stat-mech, math-ph, math.MP

Submitted: 2026-09-28

Updated: 2026-10-05

Terminology

• Entanglement — 82× in this paper · explained in 3 episodes
• Spectral Gap — 33× in this paper · explained in 5 episodes
• Hilbert Space — 25× in this paper · explained in 2 episodes
• Entanglement Entropy — 14× in this paper · explained in 2 episodes
• Effective Hamiltonian — 10× in this paper · explained in 2 episodes
• Accuracy — 6× in this paper · explained in 1 episode
• Robustness — 5× in this paper · explained in 5 episodes
• Frustration — 2× in this paper · explained in 2 episodes
• RIKEN Center for Quantum Computing — 2× in this paper
• Consistency — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes
• RIKEN Pioneering Research Institute — 1× in this paper
• Scaling Laws — 1× in this paper · explained in 4 episodes
• Self-consistency — 1× in this paper · explained in 2 episodes
• Topological Order — 1× in this paper · explained in 2 episodes

Sources

• An area law and sub-exponential algorithm for 1D systems
• Quantum complexity and generalized area law in fully connected models

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