In GPTs, the second law of information thermodynamics holds whenever a subadditive entropy is nondecreasing under measurement, and explicit square/hexagon GPT cycles extract positive work when that condition fails.
Krumm, Thermodynamics and the structure of quantum theory as a generalized probabilistic theory (2015), arXiv:1508.03299 [quant-ph]
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Information Thermodynamics in Generalized Probabilistic Theories
In GPTs, the second law of information thermodynamics holds whenever a subadditive entropy is nondecreasing under measurement, and explicit square/hexagon GPT cycles extract positive work when that condition fails.