Overview of Loop Quantum Gravity and open gauge field systems

Loop Quantum Gravity (LQG) is a non-perturbative and background-independent approach to quantum gravity that seeks to describe the microscopic structure of spacetime. I will Begin the talk by outlining the conceptual foundations of LQG, emphasizing its reformulation of general relativity in terms of connection variables and its prediction of discrete quantum geometry. Central to this framework are spin networks, which provide a combinatorial and algebraic description of quantum states of geometry.

Building on this foundation, I will present original results from recent preprint, Spin Networks of Quantum Channels, co-authored with prof. Jakub Mielczarek. In this work, we extend the notion of spin networks by incorporating quantum channels at their edges, thereby opening the systems to external influence, which could be a crucial step to examining decoherence in gravitational systems. Addition of quantum channels in description of any gauge field will be discussed.

I will discuss the mathematical construction of these generalized spin networks, highlight key results, and outline potential implications for both quantum gravity and other gauge fields. The talk aims to provide an accessible entry point to LQG while showcasing how tools from quantum information can enrich our understanding of quantum gauge fields.