WQCG: Quantum Computing for Quantum Gravity

Speaker: Grzegorz Czelusta, PhD graduate of the Faculty of Physics, Astronomy and Applied Computer Science at Jagiellonian University

Abstract

The pursuit of a consistent quantum theory of gravity remains one of the most profound challenges in theoretical physics. Loop Quantum Gravity (LQG) provides a non-perturbative framework in which the fabric of space is described by superpositions of spin network states, SU(2) gauge invariant graphs, that encode quantum geometry at the Planck scale. However, the computational complexity of these states has long hindered the exploration of realistic and highly complex configurations.

This talk discusses the application of quantum computing to overcome these limitations, enabling the simulation and analysis of increasingly intricate quantum gravitational systems. A general framework is introduced for the construction of quantum circuits corresponding to four-valent spin networks with two-dimensional intertwiner Hilbert spaces (“qubits of space”). By integrating quantum computing, tensor networks, and LQG, this work demonstrates that hybrid computational approaches can significantly extend the tractable frontier of quantum gravity research, opening new pathways for simulating and probing Planck-scale physics.

Furthermore, beyond serving as a computational tool, this approach offers new insights into the quantum informational structure of quantum gravity states.