Finite-dimensional Quantum Observables are the Special Symmetric Dagger-Frobenius Algebras of CP Maps
arXiv:2110.07074 · doi:10.4204/EPTCS.394.21
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.
In Proceedings QPL 2022, arXiv:2311.08375. arXiv admin note: substantial text overlap with arXiv:1809.03466