Copying Quantum States
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. --- Source: arXiv:2607.02408v1 - http://arxiv.org/abs/26...
Description / Details
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.
Source: arXiv:2607.02408v1 - http://arxiv.org/abs/2607.02408v1 PDF: https://arxiv.org/pdf/2607.02408v1 Original Link: http://arxiv.org/abs/2607.02408v1
Please sign in to join the discussion.
No comments yet. Be the first to share your thoughts!
Jul 3, 2026
Quantum Computing
Quantum Physics
0