Why can states and measurement outcomes be represented as vectors?

Details Why can states and measurement outcomes be represented as vectors? Why can states and measurement outcomes be represented as vectors?

2003-05-20

arxiv.org/abs/quant-ph/0305117v3

Physics

Quantum Physics

LaTeX2e/RevTeX4, 8 pages

Scientific paper

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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