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.
--
Raffaella Carbone, PhD
Ricercatore di Probabilità e Statistica Matematica
Dipartimento di Matematica dell'Università degli Studi di Pavia