Haah's 3D cubic code thermalizes rapidly

arXiv:2609.39959 · quant-ph, math-ph, math.MP · Submitted 2026-09-30 · Read on arXiv

quant-ph, math-ph, math.MP

Submitted: 2026-09-30

Updated: 2026-09-30

Comments: 28 pages, 11 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Gibbs State — 8× in this paper · explained in 2 episodes
• Trace — 7× in this paper · explained in 2 episodes
• Topological Order — 4× in this paper · explained in 2 episodes
• CSS Codes — 2× in this paper · explained in 2 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Additivity — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• No-Go Theorem — 1× in this paper · explained in 2 episodes
• Optimal Transport — 1× in this paper · explained in 5 episodes
• Trace Distance — 1× in this paper · explained in 3 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• How fast do stabilizer Hamiltonians thermalize?
• A passive self-correcting quantum memory in three dimensions
• The modified logarithmic Sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions

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