Invariance under energy-preserving unitaries forces large-N reduced states to be close to thermal mixtures, with vanishing error bounds.
We first comment on the time translation symmetry which is strictly weaker than the EPU invariance
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Symmetry-driven thermalization via finite de Finetti theorems
Invariance under energy-preserving unitaries forces large-N reduced states to be close to thermal mixtures, with vanishing error bounds.