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Copying quantum states

Author

Listed:
  • Hans Maassen

    (Radboud Universiteit)

  • Burkhard Kümmerer

    (Technische Universität Darmstadt)

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.

Suggested Citation

  • Hans Maassen & Burkhard Kümmerer, 2024. "Copying quantum states," Indian Journal of Pure and Applied Mathematics, Springer, vol. 55(3), pages 893-903, September.
    • Handle: RePEc:spr:indpam:v:55:y:2024:i:3:d:10.1007_s13226-024-00634-z
    DOI: 10.1007/s13226-024-00634-z
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