Exploration of duality, geometry and entanglement

Period

2021 - 2023

Coordinator of the consortium: Prof. Sergey Solodukhin, Institut Denis Poisson (IDP) / University of Orléans, University of Tours, CNRS - FR

Summary of the consortium

We plan to bring together a small group of experts to discuss and work on recent exciting developments that come from applying information theoretic ideas to quantum mechanics. Indeed, these ideas underlie recent progress in classifying new phases of matter and in building quantum computers. Our focus here is on quantum field theory and gravity, where measures of quantum entanglement have proven their relevance by helping us to understand how black holes store information and how the behavior of quantum field theories depends on the energy and length scales at which measurements are performed. We plan to make progress by focusing on a few key issues. We will examine the connection to quantum field theory in the presence of boundaries and other types of surfaces. We will consider how space-time and geometry themselves may emerge from information theory considerations. We will clarify technical problems in the definition of quantum entanglement in a field theory and gravity setting, for example, ambiguities and divergences in measuring entanglement. We will examine time dependence of entanglement as well as its connection to the AdS/CFT correspondence -- the idea that certain field theories are also secretly theories of gravity. We intend that the workshops funded by LE STUDIUM will provide the seeds for growing a larger European wide network in this fast moving research area.