Some Aspects of Complexity and Krlov Complexity

by Eliezer Rabinovici (The Hebrew University of Jerusalem (IL))

Wednesday Apr 23, 2025, 2:00 PM → 3:00 PM Europe/Zurich

4/3-006 - TH Conference Room (CERN)

Complexity is a subject of research in several branches of science, from quantum computing, through condensed matter physics to quantum gravity. A review of the concept of Complexity as has emerged in studying long time properties of systems including blackholes will be presented. Some emphasis will be made on describing features of a particular form of Complexity, the Krylov Complexity. This includes its features when interpolating among various types of systems: free, strongly integrable and chaotic ones. Finally I will present a case where we have shown that the value of the Krylov Complexity, a quantum information concept, is equal to the value of a geodesic in a certain background, a geometric concept.

Complexity talk 230425 CERN.key

Complexity talk 230425 CERN.pdf