Copying quantum states

Hans Maassen () and Burkhard Kümmerer ()
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Hans Maassen: Radboud Universiteit
Burkhard Kümmerer: Technische Universität Darmstadt

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 3, 893-903

Abstract: 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*-algebras with unital completely positive maps.

Keywords: Quantum probability; Quantum information; No-cloning; Matrix algebras (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-024-00634-z

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