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I use the recently proposed framework of ontological models (N. Harrigan, T. Rudolph, and S. Aaronson, e-print arXiv:0709.1149) to obtain economical models for the results of tomographically complete sets of measurements on finite-dimensional quantum systems. I describe a procedure that simplifies the models by decreasing the number of necessary ontic states and present an explicit model with just 33 ontic states for a qutrit.
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Ernesto F. Galvão (2009) studied this question.
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