RubricaRubrica Cerca nel sitoCerca nel sito ModulisticaModulistica WebmailWebmail
Il Dipartimento sui social: Seguici su Facebook Seguici su Facebook Seguici su Youtube

Contenuti pagina [0] | Menù [1] | Copyright e credits [2]

Dipartimento di Fisica

Sei in »» Preserver problems on Quantum Structures » Seminari Pubblici » Leggi

Preserver problems on Quantum Structures
Speaker Speaker: Lajos Molnar, University of Debrecen (Hungary)
Affiliato Affiliato: University of Debrecen (Hungary)
Data Evento Lunedì 17 Dicembre 2012, alle ore 16.30 - Aula Seminari Dipartimento di Fisica
Email Per informazioni scrivere a:
Link Esterno Per ulteriori informazioni visitate il sito web:
The typical general preserver problem reads as follows. Given a structure X,
determine all transformations on X which preserve

-a given operation among the elements of X, or
-a given relation among the elements of X, or
-a quantity attached to the elements of X,
Preserver transformations can be viewed as morphisms
or symmetries of the underlying structure X. For example, Wigner's famous
theorem on the structure of quantum mechanical symmetry transformations
can also be regarded as the solution of a particular preserver problem.

In this talk we first give several examples of such problems that appear in different areas
of mathematics. In the second part we present some of our results concerning
preserver transformations on certain quantum structures.

We consider transformations on the spaces of density operators (quantum states),
self-adjoint operators (observables), Hilbert spaces effects which preserve
quantum relative entropy, order, commutativity (comparability), the operation
of sequential product, etc.