Quantum Complexity & Holography

September 4, 2020
11:00am to 1:00pm

Zoom Virtual Room

Specialist level
Speaker: 
Javier Martín García
Institution: 
IFT UAM-CSIC
Location&Place: 

Zoom Virtual Room

Abstract: 

This thesis develops recent work on the so called Volume-Complexity and Action-Complexity conjectures. According to this family of proposals, geometric quantities can be defined in some holographic gravitational theories that can be mapped with the concept of quantum complexity for states in a dual quantum-mechanical theory.In this work, we review the original motivations for the use of quantum-information theory in the search of a theory of quantum gravity, and argue in favour of holographic complexity as a promising new tool that could play a key role in the elucidation of the properties of black holes. After this introduction, we devote some time to the study of ‘exotic’ thermodynamical systems of diverse origin, confronting the conjectures with expectations and seeking for new behaviours of holographic complexity that could help us understand or refine the existing proposals. Next, we turn our attention to the study of holographic complexity for singular spacetimes, defining slightly modified versions of the conjecture that are well adapted to singularities and searching for universal behaviours of complexity dynamics within these setups. Finally, we finish with some speculations about the relation between holographic complexity and older characterization criteria for singularities in general relativity.