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The generalized quantum Stein’s lemma and the second law of quantum resource theories

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Nature Physics, Published online: 29 October 2025; doi:10.1038/s41567-025-03047-9

Earlier work establishing an analogue of the second law of thermodynamics for quantum resources relied on a flawed proof of the generalized quantum Stein’s lemma. Now the lemma has been re-proven, restoring the analogy.