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.
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The interpolation and spectral norms in tracial nonassociative L^p-spaces are equivalent but not isometric for p ≠ 2.
Two postulates suffice to single out the full quantum theory in finite dimensions.
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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.
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Spectral versus interpolation norms in tracial nonassociative $\mathrm{L}^p$-spaces
The interpolation and spectral norms in tracial nonassociative L^p-spaces are equivalent but not isometric for p ≠ 2.
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Two Operational Principles Single Out Quantum Theory
Two postulates suffice to single out the full quantum theory in finite dimensions.