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arXiv · 2110.07074

Finite-dimensional Quantum Observables are the Special Symmetric Dagger-Frobenius Algebras of CP Maps

Stefano Gogioso
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Abstract

We use purity, a principle borrowed from the foundations of quantum information, to show that all special symmetric dagger-Frobenius algebras in CPM(fHilb) are canonical, i.e. that they arise by doubling of special symmetric dagger-Frobenius algebras in fHilb. In particular, this applies to all classical structures.

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Stefano Gogioso. 2021-10-13. Finite-dimensional Quantum Observables are the Special Symmetric Dagger-Frobenius Algebras of CP Maps. https://doi.org/10.4204/eptcs.394.21

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