Quantum channels on duals of von Neumann algebras in the Schr\"{o}dinger picture

Abstract:The theory of quantum channels is traditionally studied either on finite-dimensional state spaces or within the Heisenberg picture as completely positive maps on C^*-algebras. In this paper, we consider quantum channels as completely positive maps on the duals of general von Neumann algebras in the Schrodinger picture. We investigate the construction of such channels through Pettis integrals using representations of topological groups.

Operator Algebras (math.OA); Functional Analysis (math.FA); Quantum Physics (quant-ph)

arXiv:2608.15116 [math.OA]

(or arXiv:2608.15116v1 [math.OA] for this version)

https://doi.org/10.48550/arXiv.2608.15116 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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