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Explore the connection between quantum complexity and spacetime volumes in gravitational theories through this theoretical physics colloquium. Learn how holography (AdS/CFT correspondence) relates strongly-interacting quantum systems to gravitational theories in negatively curved universes, building on foundational work by Bekenstein, Hawking, and others from the past 50 years. Discover recent progress in understanding spacetime volume in gravity as a representation of the hardness of microscopic quantum state preparation, known as quantum complexity, moving beyond traditional approaches that focused on areas in gravitational systems and microscopic entropy. Gain insights into cutting-edge research presented in a pedagogical manner, drawing from recent publications including work with Papalini and Schuhmann published in Physical Review Letters, as well as comprehensive reviews with Baiguera and collaborators.
