Classical no-cloning theorem under Liouville dynamics by non-Csisz\'ar f-divergence

T. Yamano; O. Iguchi

doi:10.1209/0295-5075/83/50007

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arXiv · 0803.1063

Classical no-cloning theorem under Liouville dynamics by non-Csisz\'ar f-divergence

T. Yamano·O. Iguchi

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Abstract

The Csisz\'ar 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 classical analogue of the no-cloning principle.

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T. Yamano, O. Iguchi. 2008-03-07. Classical no-cloning theorem under Liouville dynamics by non-Csisz\'ar f-divergence. https://doi.org/10.1209/0295-5075/83/50007

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