Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite-Dimensional Convex Effect Algebras   We first show that the convex effect algebras (CEA) approach to quantum
mechanics is more general than the general probabilistic theories approach. We
then restrict our attention to finite-dimension CEA's. After an introductory
Section~1, we present basic definitions in Section~2. Section~3 studies convex
subeffect algebras and observables. In Section~4 we consider strong CEA's and
strong observables. We show that a CEA is strong if and only if it is
classical. Informationally complete observables on classical CEA's are studied
in Section~5. Section~6 considers quantum CEA's in Hilbert spaces.

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The categories of this paper are: math
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga