Watch a 21-minute conference talk from TQC 2023 (Theory of Quantum Computation, Communication and Cryptography Conference) where Arkin Tikku presents research on circuit depth versus energy in topologically ordered systems. Explore the mathematical proof of nontrivial circuit-depth lower bounds for preparing low-energy states in locally interacting quantum many-body systems in two dimensions, with geometric locality constraints. Learn about key concepts including Variational Quantum Eigensolvers, energy density, lattice models, twist products, and local invisibility. The presentation, delivered at the University of Aveiro as part of the 18th TQC conference, concludes with open questions and technical aspects, followed by an audience Q&A session. The research is based on work published in arXiv:2210.06796.