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Why can states and measurement outcomes be represented as vectors?

Piero G. L. Mana
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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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Piero G. L. Mana. 2004-09-22. Why can states and measurement outcomes be represented as vectors?. https://arxiv.org/abs/quant-ph/0305117

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