A bstract We show how geometric phases may be used to fully describe quantum systems,
with or without gravity, by providing knowledge about the geometry and topology of its …

There are two types of quantum chaos: eigenbasis chaos and spectral chaos. The first type
controls the early-time physics, eg the thermal relaxation and the sensitivity of the system to …

Recent proposals equate the size of Einstein-Rosen bridges in JT gravity to spread
complexity of a dual, double-scaled SYK theory (DSSYK). We show that the auxiliary``chord …

In holography, two manifestations of the black hole information paradox are given by the non-
isometric nature of the bulk-boundary map and by the factorisation puzzle. By considering …

The geometric quantum discord of a two-qudit state has been studied in many papers;
however, its exact analytical value in the explicit form is known only for a general two-qubit …

We study Renyi entropies and late-time bulk correlators between asymptotically de Sitter
space universes connected through an Euclidean axion wormhole in arbitrary dimensions …

We explore the physics of scrambling in the moving mirror models, in which a two-
dimensional CFT is subjected to a time-dependent boundary condition. It is well-known that …

In this thesis I explore the interplay of geometry and quantum information theory via the
holographic principle, with a specific focus on geometric phases in quantum systems like …