Related papers: Quantum channels on duals of von Neumann algebras in the Schrödinger picture

Quantum channels on duals of von Neumann algebras in the Schrödinger picture

URL: http://arxiv.org/abs/2608.15116v1
Date: Sat, 15 Aug 2026 08:35:29 GMT
Title: Quantum channels on duals of von Neumann algebras in the Schrödinger picture
Abstract summary: We consider quantum channels as completely positive maps on the duals of general von Neumann algebras in the Schrodinger picture.<n>We investigate the construction of such channels through Pettis integrals using representations of topological groups.
Score: 0.0
License: http://creativecommons.org/licenses/by-nc-sa/4.0/
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.

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