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Characterization of affine automorphisms and ortho-order automorphisms of quantum probabilistic maps
In quantum mechanics, often it is important for the representation of quantum
system to study the structure-preserving bijective maps of the quantum system.
Such maps are also called isomorphisms or automorphisms. In this note, using
the Uhlhorn-type of Wigner's theorem, we characterize all affine automorphisms
and ortho-order automorphisms of quantum probabilistic maps
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