We apply a formalism developed previously to study the notion of the complexity of states in a general statistical theory. We identify the extreme points of the instrument sets as those instruments that view an intrinsic complexity of states and are uncontaminated by stochastic contributions of the experimenter. Various notions of entropy of a state are investigated.
KeywordsEntropy Statistical Theory Extreme Point Intrinsic Complexity Instrumental Complexity
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- 1.G. Svetlichny,Found. Phys. 11, 000 (1981).Google Scholar
- 2.Carl A. Hein,Found. Phys. 9 751 (1979).Google Scholar
- 3.D. J. Foulis and C. H. Randall, “What are quantum logics and what ought they to be?,” inProceedings of the Workshop on Quantum Logic (Ettore Majorana Center for Scientific Culture, Erice, Sicily, 1979).Google Scholar
- 4.C. H. Randall and D. J. Foulis, inPhysical Theory as Logical-Operational Structure, Vol. 3, C. Hooker, ed. (Reidel, Dordrecht, 1978).Google Scholar
- 5.Thurlow A. Cook,Int. J. Theor. Phys. 17, 941 (1978).Google Scholar
- 6.Richard J. Greechie, inMathematical Foundations of Quantum Theory, A. R. Marlow, ed. (Academic Press, New York, 1978).Google Scholar