Workshop on QUANTUM INFORMATION PROCESSING AND QUANTUM COMMUNICATIONS

Quantum Information Processing and Quantum Communications
Topics in quantum channels

aula
201  Mercoledì 17 marzo ore 14.00/17.00
aula 326
 Giovedì 18 marzo ore 11.0013.00
aula 326
 Venerdì 19 marzo ore 14.0017.00
aula 201
 Mercoledì 24 marzo ore 14.0017.00
aula 326
 Giovedì 25 marzo ore 10.0013.00
aula 326
 Venerdì 26 marzo ore 14.0017.00 

MARY
BETH RUSKAI, Tufts University 
>VITAE:
Mary Beth Ruskai worked at MIT from 1973 to 76 with Elliott Lieb, with
whom she proved the strong subadditivity of quantum entropy. After she
was assistant professor in mathematics at the University of Oregon and,
then from 1977
at the University of Massachusetts Lowell where
she is now an emerita. She is currently a Research Professor in the Department
of Mathematics at Tufts University.


Abstract 


The first week will be devoted to mathematical properties
of important quantities which arise in quantum information theory, such
as quantum entropy. Related topics in operator inequalities and convexity
will be discussed. The second week will consider recent developments about
additivity questions for quantum channels, including the equivalence of
additivity of minimal output entropy, additivity of Holevo capacity, additivity
of entanglement of formation for tensor products and superadditivity of
entanglement of formation. In particular, a complete proof of the strong
subadditivity of entropy will be presented, following the strategy in J.
Math. Phys., 43, pp. 43584375 (2002), which does not require the long proof
of Lieb's theorem of Appendix 6 of Nielsen and Chuang. 

