caa a22 4500 445886277 CHVBK 20180317145600.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s11128-010-0184-z doi (NATIONALLICENCE)springer-10.1007/s11128-010-0184-z Rastegin Alexey Department of Theoretical Physics, Irkutsk State University, Gagarin Bv. 20, 664003, Irkutsk, Russia aut Bounds on Shannon distinguishability in terms of partitioned measures [Elektronische Daten] [Alexey Rastegin] A family of quantum measures like the Shannon distinguishability is presented. These measures are defined over the two classes of POVM measurements and related to separate parts in the expression for mutual information. Changes of Ky Fan's norms and the partitioned trace distances under the operation of partial trace are discussed. Upper and lower bounds on the introduced quantities are obtained in terms of partitioned trace distances and Uhlmann's partial fidelities. These inequalities provide a kind of generalization of the well-known bounds on the Shannon distinguishability. The notion of cryptographic exponential indistinguishability for quantum states is revisited. When exponentially fast convergence is required, all the metrics induced by unitarily invariant norms are shown to be equivalent. Springer Science+Business Media, LLC, 2010 Trace norm nationallicence Mutual information nationallicence Ky Fan's maximum principle nationallicence Partial fidelity nationallicence Exponential indistinguishability nationallicence Quantum Information Processing Springer US; http://www.springer-ny.com 10/1(2011-02-01), 123-138 1570-0755 10:1<123 2011 10 11128 https://doi.org/10.1007/s11128-010-0184-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11128-010-0184-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Rastegin Alexey Department of Theoretical Physics, Irkutsk State University, Gagarin Bv. 20, 664003, Irkutsk, Russia aut NATIONALLICENCE 773 0- Quantum Information Processing Springer US; http://www.springer-ny.com 10/1(2011-02-01), 123-138 1570-0755 10:1<123 2011 10 11128 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer