Quantum complexity and generalized area law in fully connected models

arXiv:2411.02140 · quant-ph, cond-mat.quant-gas, cond-mat.stat-mech, math-ph, math.MP · Submitted 2024-11-04 · Read on arXiv

quant-ph, cond-mat.quant-gas, cond-mat.stat-mech, math-ph, math.MP

Submitted: 2024-11-04

Updated: 2026-09-24

Terminology

• Entanglement — 63× in this paper · explained in 3 episodes
• Entanglement Entropy — 46× in this paper · explained in 2 episodes
• Hilbert Space — 41× in this paper · explained in 2 episodes
• Area Law — 38× in this paper · explained in 1 episode
• Spectral Gap — 26× in this paper · explained in 5 episodes
• Effective Hamiltonian — 10× in this paper · explained in 2 episodes
• Mean-Field Renormalization Group — 8× in this paper
• Robustness — 7× in this paper · explained in 5 episodes
• Fidelity — 4× in this paper · explained in 2 episodes
• Matrix Product State — 4× in this paper
• Core — 3× in this paper · explained in 2 episodes
• Frustration — 3× in this paper · explained in 2 episodes
• Approximate Ground State Projection — 2× in this paper
• Consistency — 2× in this paper · explained in 3 episodes
• Japan Science and Technology — 2× in this paper
• RIKEN Center for Quantum Computing — 2× in this paper
• RIKEN Cluster for Pioneering Research — 2× in this paper
• Accuracy — 1× in this paper · explained in 1 episode
• All-to-All Connectivity — 1× in this paper · explained in 1 episode
• Approximation Bound — 1× in this paper · explained in 1 episode
• Generalization — 1× in this paper · explained in 13 episodes
• Gibbs State — 1× in this paper · explained in 2 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• SYK Model — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• An area law and sub-exponential algorithm for 1D systems
• A polynomial-time algorithm for ground states of spin trees

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