170602 coloquio icmat-ucm giuseppe marmo mod · place: aula naranja, ... and a c*-algebra in the...

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SPEAKER: Giuseppe Marmo (Universitá degli Studi di Napoli “Federico II”, Italy) DATE: Friday, 2 June, 2017 - 13:00 h PLACE: Aula Naranja, ICMAT (Campus de Cantoblanco, Madrid). El coloquio será retransmitido en streaming. ABSTRACT: With every quantum system we associate a Hilbert space, in the Scrhoedinger-Dirac picture, and a C*-algebra in the Heisenberg-Born-Jordan picture. States, observables and evolution are built out of the given linear space. Other pictures have been elaborated, for instance, the Weyl-Wigner picture, coherent states picture, and tomographic picture. In this talk, I shall consider as an initial datum the convex body of states. We consider its differential structure which turns out to be a stratified manifold, and describe observables and evolution in tensorial terms, so to allow for general nonlinear transformations. To avoid technicalities, we shall mostly consider qubit and qutrit. CONTACT: [email protected] / [email protected] INSTITUTO DE CIENCIAS MATEMÁTICAS Colloquium ICMAT-UCM THE DIFFERENTIAL STRUCTURE OF QUANTUM STATES, OBSERVABLES AND EVOLUTION UNIVERSIDAD AU TO NOMA DE MADRID

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Page 1: 170602 Coloquio ICMAT-UCM Giuseppe Marmo mod · PLACE: Aula Naranja, ... and a C*-algebra in the Heisenberg-Born-Jordan picture. States, ... 170602_Coloquio_ICMAT-UCM_Giuseppe Marmo_mod

SPEAKER: Giuseppe Marmo (Universitá degli Studi di Napoli “Federico II”, Italy)

DATE: Friday, 2 June, 2017 - 13:00 h PLACE: Aula Naranja, ICMAT (Campus de Cantoblanco, Madrid). El coloquio será retransmitido en streaming.

ABSTRACT: With every quantum system we associate a Hilbert space, in the Scrhoedinger-Dirac picture, and a C*-algebra in the Heisenberg-Born-Jordan picture.States, observables and evolution are built out of the given linear space.Other pictures have been elaborated, for instance, the Weyl-Wigner picture, coherent states picture, and tomographic picture.In this talk, I shall consider as an initial datum the convex body of states. We consider its differential structure which turns out to be a stratified manifold, and describe observables and evolution in tensorial terms, so to allow for general nonlinear transformations. To avoid technicalities, we shall mostly consider qubit and qutrit. CONTACT: [email protected] / [email protected]

INSTITUTO DE CIENCIAS MATEMÁTICAS

Colloquium ICMAT-UCM

THE DIFFERENTIAL STRUCTURE OF QUANTUM STATES, OBSERVABLES

AND EVOLUTION

UNIVERSIDAD AU TO NOMADE MADRID