Workshop on

Quantum Mechanics: Axiomatics of Measurements and connections with Computing and Information Retrieval

Behavior of the Holevo bound under optimal universal cloning

aula DOTTORATO - MARTEDì 24 APRILE, ore 14.00
  RAFAL DEMKOWICZ-DOBRZANSKI, Polish Academy of Sciences

Rafal Demkowicz-Dobrzanski did his master thesis ("Cloning of quantum states") in 2003 at the faculty of physics, Warsaw University, under the supervision of Krzysztof Wodkiewicz. In 2007 he defended his Phd ("State estimation on correlated copies and possibilities of decorrelating quantum states") at the Warsaw University under the supervision of Marek Kus. Main areas of interests: quantum cloning, state estimation, multipartite entanglement, capacities of quantum channels.

Rafal Demkowicz-Dobrzanski

The equivalence between the optimal state estimation and the optimal asymptotic cloning is well known. There are, however, more intriguing facts relating cloning with measurement and estimation theory. I will present a hypothesis, that the holevo bound on the accesible information of an ensemble tends to the accessible information itself once calculated on optimal clones obtained from the ensemble, achieving equality in the limit of infinte number of clones. I prove the hypothesis for universal 1->N cloning.