A simple classical quasi-polynomial algorithm computes thermal expectations for SYK and bounded-degree local Hamiltonians at all constant temperatures above the relevant phase transition.
Theorem D.4(Jensen’s formula).LetΩ⊂Cbe an open set that contains the disk D(0, R)for someR >0
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SYK thermal expectations are classically easy at any temperature
A simple classical quasi-polynomial algorithm computes thermal expectations for SYK and bounded-degree local Hamiltonians at all constant temperatures above the relevant phase transition.