de Sitter Space Holography and Quantum Information

Introduction

New approaches to de Sitter (dS) space holography open a promising avenue for quantum gravity in dS space. Simultaneously, newly developed quantum information tools allow us to study those proposals and their properties. It is the objective of this project to study holography in dS space using quantum information tools.

Research Objectives

I would like to use quantum information to find an alternative description of dS space in terms of an exact quantum mechanical model. For this, I will explore different recent approaches to dS space holography, including:

1. Defining a holographic theory on the stretched cosmological horizon.
2. The use of holographic flow geometries.

I will use novel measures from the world of quantum information, such as:

• Entanglement
• Complexity
• Out of time ordered correlation functions
• Chaos
• Thermalization

I will compare their behavior to numerical results for possible candidates of a quantum mechanical dual theory. This detailed study will allow me to identify a precise quantum mechanical dual for dS space.

Expected Impact

The project will have a major impact on the way we understand quantum gravity in dS space, bringing holography from the theoretical realm where gravity lives in a box to a real-world applicable scenario. It is further expected that extending holographic quantum information beyond anti-de Sitter (AdS) space to a larger class of theories will draw new and important lessons for quantum information and quantum computation.

Timeliness of Research

It is the perfect time to conduct this line of research. While dS space holography has been a long-time endeavor in theoretical physics, progress in low-dimensional holography and quantum information makes it now possible to address it from a novel and concrete point of view.

Personal Qualifications

I have been a pioneer in applying quantum information tools in AdS space and have worked on the new approaches to dS holography. I therefore believe that I am the right person to carry out this promising line of research.