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We introduce a binary relation on the finite discrete probability distributions which generalizes notions of majorization that have been studied in quantum information theory.
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2008
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A. W. Marshall, I. Olkin, and B. C. Arnold, Inequalities: Theory of Majorization and Its Applications , Springer, 2010
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J. C. Baez, T. Fritz, and T. Leinster, A Characterization of Entropy in Terms of Information Loss , Entropy 13
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B. Coecke, T. Fritz, and R. W. Spekkens, A mathematical theory of resources , arXiv:1409.5531
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P. Faist, F. Dupuis, J. Oppenheim, and R. Renner, The Minimal Work Cost of Information Processing , Nat. Comm. 6
2015
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G. Gour, M. P. Müller, V. Narasimhachar, R. W. Spekkens, and N. Yunger Halpern, The resource theory of informational nonequilibrium in thermodynamics , Physics Reports 583
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T. Fritz, Resource convertibility and ordered commutative monoids , Math. Struct. Comput. Sci., FirstView, 1–89 (2016)
2016
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