The R'enyi area law conjecture is false below alpha=1 in high dimensions
quant-ph, cond-mat.dis-nn, cond-mat.stat-mech, math-ph, math.MP
Submitted: 2026-10-10
Updated: 2026-10-10
Terminology
Sources
- An area law and sub-exponential algorithm for 1D systems
- Spectral Small-Incremental-Entangling: Breaking Quasi-Polynomial Complexity Barriers in Long-Range Interacting Systems
- Entanglement vs. gap for one-dimensional spin systems
- Optimal low-rank compression of quantum dynamics
- Hierarchical entanglement transitions and hidden area-law sectors in quantum many-body dynamics
- History-state Hamiltonians are critical
- Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems
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