In this 1 hour 21 minute seminar from the IAS High Energy Theory series, explore how quantum condensed matter intersects with quantum information in open systems. Learn about recent advances in defining phases of matter in open quantum systems as Abhinav Prem presents a partial classification of "intrinsically" mixed-state topological order using non-modular braided fusion categories. Discover an innovative autonomous error correction protocol that utilizes erasure errors to stabilize topological quantum memory in two spatial dimensions—addressing a long-standing challenge in the field. Understand how the emergence of noisy-intermediate-scale-quantum (NISQ) devices has shifted focus beyond traditional ground states and equilibrium properties of spatially extended systems toward many-body open quantum systems.