Spectral Gap of the Hexagonal AKLT Model via Boundary-State Factorization

arXiv:2609.27993 · quant-ph, math-ph, math.MP · Submitted 2026-09-23 · Read on arXiv

quant-ph, math-ph, math.MP

Submitted: 2026-09-23

Updated: 2026-09-23

Code: https://github.com/kastoryano/aklt-lean-certificate

Terminology

• Core — 33× in this paper · explained in 2 episodes
• Spectral Gap — 15× in this paper · explained in 5 episodes
• Trace — 11× in this paper · explained in 2 episodes
• Frustration — 6× in this paper · explained in 2 episodes
• Quantization — 3× in this paper · explained in 12 episodes
• Verification — 3× in this paper · explained in 2 episodes
• Cluster expansion — 2× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 4 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Initial Data — 1× in this paper · explained in 2 episodes

Sources

• Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb Lattices
• Divide and conquer method for proving gaps of frustration free Hamiltonians

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