Cari colleghi,

vi annuncio che mercoledì 4 marzo, alle ore 14 precise, nell'aula Beltrami del Dipartimento di Matematica dell'Universita' di Pavia, vi saranno due seminari (entrambi nell'ambito del progetto FIRB 2010 "*Quantum Markov Semigroups and their empirical estimation*"), tenuti da

Jorge Bolanos-Servin e Tomasz Tylec

Seguono titoli e sunti.

Distinti saluti,

Raffaella Carbone

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Primo Seminario, ore 14:00 precise:

Jorge Bolanos-Servin (Università UAM, Città del Messico)

"Some spectral properties of Circulant Quantum Markov Semigroups"

Abstract. Many symetries of $\mathbb Z_p$ are inherited by Circulant matrices , therefore widely used in many areas of mathematics. The class of Circulant QMS although described in a simple way provide examples to better understand more general ideas. In this talk i will review the relationship between the eigenvalues and eigenvectors of a Circulant matrix and a Circulant QMS GKSL generator. This will lead to prove that the spectral gap is strictly positive.

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Secondo Seminario, ore 15 precise:

Tomasz Tylec (Istituto di Fisica Teorica, Varsavia)

"Generalised probability, quantum logics and non-signalling theories"

Abstract: Since 1990s some physicist working on quantum information theory become interested in the so-called no-signalling theories. These are very intuitive, in some sense minimal, models of compound systems. It seemed that such theories are more general than quantum mechanics. Unfortunately, they suffer from the lack of precise mathematical framework within its properties can be rigorously studied. Our aim was to find such framework and study the basic properties of most widely discussed example of non-signalling system. The most natural choice led us to the so called quantum logics. The idea stems from the works of Birkhoff and von Neumann and after many years of development it evolved into sophisticated theory of partially ordered sets. What is important such structures can be interpreted as models of a generalised probability. This allows rigorous review of previously obtained results about non-signalling theories.