## Less (precision) is more (information): quantum information in terms of quantum statistical models

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Title of host publication | Proceedings of International Conference "Quantum Theory: Reconsideration of Foundations - 2 |
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Date | Published - Dec 2004 |
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Pages | 113-128 |
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Number of pages | 16 |
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Publisher | University of Vaxjo Press |
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Place of Publication | Vaxjo, Sweden |
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Original language | English |
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A comparison of structural features of quantum and classical physical theories, such as the information capacity of systems subject to these theories, requires a common formal framework for the presentation of corresponding concepts (such as states, observables, probability, entropy). Such a framework is provided by the notion of statistical model developed in the convexity approach to statistical physical theories. Here we use statistical models to classify and survey all possible types of embedding and extension of quantum probabilistic theories subject to certain reasonable constraints. It will be shown that the so-called canonical classical extension of quantum mechanics is essentially the only 'good' representation of the quantum statistical model in a classical framework. All quantum observables are thus identified as fuzzy classical random variables.

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