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Why can states and measurement outcomes be represented as vectors?

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abstract

It is shown how, given a "probability data table" for a quantum or classical system, the representation of states and measurement outcomes as vectors in a real vector space follows in a natural way. Some properties of the resulting sets of these vectors are discussed, as well as some connexions with the quantum-mechanical formalism.

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quant-ph 1

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2026 1

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UNVERDICTED 1

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Generalised Probabilistic Theories

quant-ph · 2026-06-30 · unverdicted · novelty 2.0

The paper introduces the generalised probabilistic theories framework as a convex operational setting that represents states, transformations, and measurements and encompasses classical and quantum theories along with Bell non-locality and box world.

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  • Generalised Probabilistic Theories quant-ph · 2026-06-30 · unverdicted · none · ref 6 · internal anchor

    The paper introduces the generalised probabilistic theories framework as a convex operational setting that represents states, transformations, and measurements and encompasses classical and quantum theories along with Bell non-locality and box world.