Workshop on QUANTUM INFORMATION PROCESSING AND QUANTUM COMMUNICATIONS

Quantum Information Processing and Quantum Communications
Finite Covariant POVM and applications 
Aula
326, Lunedì 9 febbraio ore 14.00 

RAMON MUÑOZ TAPIA, University Autonoma of Barcelona 
>VITAE:
Lecturer at the University Autonoma
of Barcelona. Founding member of the GIQ (Grup d'Informacio Quantica de
Barcelona). Expert of Quantum Estimation and Quantum Field Theory, especially
in regularization methods and nonperturbative techniques.


Abstract 


A very much studied problem in Quantum Information is the
issue of estimating and unknown quantum state from an isotropic source given
a finite number of copies. It is known that a continuous covariant POVM
gives an optimal fidelity.
Such POVM has infinite outcomes and therefore can not be implemented physically.
I will present discretizations with a finite number of outcomes.
These are related to the notion of isotropic set of directions. This notion
goes beyond its original scope and can be used for instance to compute the
average fidelity of a quantum gate or the estimation of unknown unitary
operations.
Interesting links with some other problems will also be presented. 

