Claudio Carmeli, Workshop on: QUANTUM INFORMATION PROCESSING FOR QUANTUM COMMUNICATIONS

Workshop on QUANTUM MEASUREMENTS AND OPERATIONS FOR CRIPTOGRAPHY AND INFORMATION PROCESSING
Quantum Measurements and Operations for Criptography and Information Processing Covariant POVM: an overview and some recent results
aula 105 - MARTEDì 26 ottobre ore 14.00
	CLAUDIO CARMELI , University of Genoa
> VITAE: Claudio Carmeli was born in November 1978. He studied Physics at the University of Genoa. He is currently working, as Ph.D. student, in the group of Prof. Gianni Cassinelli. He is interested in the study of the mathematical properties of covariant POVMs, mainly in connection with structure, classification and operational problems.
Abstract
	Positive operator valued measures (POVM) are a natural generalization of usual quantum observables (spectral measure or PVM). Physical motivations suggest to consider those POVM covariant with respect to a symmetry group G. It is of some interest, given a unitary representation U of G, to classify all POVM covariant with respect to U. We give some general results about classification and structure of covariant POVM. We present a deeper analysis of position and momentum observables on R^n and of the corresponding joint observables.