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Quantum Algorithms
Quantum channels on duals of von Neumann algebras in the Schr"{o}dinger picture
arXiv
Authors: Sviatoslav V. Dzhenzher
Year
2026
Paper ID
74954
Status
Preprint
Abstract Read
~2 min
Abstract Words
63
Citations
N/A
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.
Why This Paper Matters
- It adds a 2026 reference point for readers tracking recent quantum research.
- 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.
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