6 June 2016
Friday 10 June, room L016
10.00 Paolo Zanardi (part 1)
12.00 Lunch
12.45 Lorenzo Campos Venuti (part 1)
Monday 13 June, room L017
11.00 Lorenzo Campos Venuti (part 2)
Friday 17 June, room L016
11.00 Paolo Zanardi (part 2)
12.00 Lunch
Tuesday 21 June, room L017
11.00 Paolo Zanardi (part 3)
Thursday 23 June, room L017
11.00 Paolo Zanardi (part 4)
A (super) brief Introduction to quantum Information geometry
In this mini lecture series I will discuss some of the basic ideas of (quantum) information geometry. The emphasis will be given to local (differential) geometrical concepts as quantum Fisher metric and its applications to parameter estimation and quantum phase transitions. Time permitting also connections aka gauge potentials, over quantum states bundles will be touched upon.
No previous knowledge of these topics will be assumed (but quantum theory formalism), the lectures will be elementary and aimed at non-experts (like the speaker). A tentative programme:
Lect 1: Global and Local geometry of classical and quantum statistical model. Cramer-Rao bounds
Lect 2: (Quantum) Fisher Metric for mixed (and pure) quantum states.
Lect 3: Quantum information geometry and Quantum Phase Transitions
Lect 4: Connections on bundles of quantum states (Berry, Ullmann)