| Issue |
EPL
Volume 83, Number 5, September 2008
|
|
|---|---|---|
| Article Number | 50007 | |
| Number of page(s) | 4 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/83/50007 | |
| Published online | 02 September 2008 | |
Classical no-cloning theorem under Liouville dynamics by non-Csiszár f-divergence
Department of Physics, Ochanomizu University - 2-1-1 Otsuka, Bunkyo-ku, Tokyo 112-8610, Japan
Corresponding authors: yamano@cosmos.phys.ocha.ac.jp osamu@phys.ocha.ac.jp
Received:
4
March
2008
Accepted:
18
July
2008
The Csiszár f-divergence, which is a class of information distances, is known to offer a useful tool for analysing the classical counterpart of the cloning operations that are quantum-mechanically impossible for the factorized and marginality classical probability distributions under Liouville dynamics. We show that a class of information distances that does not belong to this divergence class also allows for the formulation of a classical analogue of the quantum no-cloning theorem. We address a family of nonlinear Liouville-like equations, and generic distances, to obtain constraints on the corresponding functional forms, associated with the formulation of a classical analogue of the no-cloning principle.
PACS: 05.20.Gg – Classical ensemble theory / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems / 89.70.-a – Information and communication theory
© EPLA, 2008
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