The No-Broadcasting Theorem and its Classical Counterpart

Details The No-Broadcasting Theorem and its Classical Counterpart The No-Broadcasting Theorem and its Classical Counterpart

2007-04-13

arxiv.org/abs/0704.1754v3

Physics

Quantum Physics

4 pages

Scientific paper

10.1103/PhysRevLett.100.210502

Although it is widely accepted that `no-broadcasting' -- the nonclonability of quantum information -- is a fundamental principle of quantum mechanics, an impossibility theorem for the broadcasting of general density matrices has not yet been formulated. In this paper, we present a general proof for the no-broadcasting theorem, which applies to arbitrary density matrices. The proof relies on entropic considerations, and as such can also be directly linked to its classical counterpart, which applies to probabilistic distributions of statistical ensembles.

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