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Copying Quantum States
Hans Maassen, Burkhard Kümmerer·July 2, 2026·DOI: 10.1007/S13226-024-00634
Quantum Physics
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Abstract
The no-broadcasting theorem in quantum information says that a set of states on a quantum system admits a common broadcasting (copying) operation if and only if their density matrices belong to a commuting family. We discuss and prove this theorem, as well as the closely related no-cloning theorem in the context of quantum probability theory, i.e. in the category of (finite dimensional) C-star-algebras with unital completely positive maps.