Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Poster II

DY 30.7: Poster

Thursday, March 29, 2007, 16:00–18:00, Poster D

An information distance and classical no-cloning theorem — •Takuya Yamano — International Christian University, SSRI, 3-10-2 Osawa, Mitaka-shi, Tokyo 181-8585, Japan

The conservation of the Kullback-Leibler (KL) information measure under the Liouville dynamics provides a classical counterpart of a quantum impossible process, i.e. the no-cloning theorem. We present the degree of the conflict in the distances of initial and final states in the copying process which is comprised of a tripartite (source, machine, and target) system whose probablity functions are factorized. We use a generalized KL measure obtained by operating the Jackson’s symmetric q-derivative to a parametrized overlap. Some metrics (KL, Fubini-Study, and Wooters) on the Hilbert space provide equivalent values to the Euclidean one for two infinitesimally displaced states up to the second order in the shift. By investigating the metrics up to higher oder, we study the difference among these metrics and intend to get insights into the theorem.