Pseudorandomness and Pseudoentanglement in Holography

Explore a lecture on the intersection of quantum complexity and holography, focusing on the creation of "physically plausible pseudo-entangled" CFT states and their implications for quantum gravity. Delve into the AdS/CFT correspondence and its principle of bulk geometry corresponding to boundary quantum entanglement. Examine how computationally indistinguishable CFT states can lead to easily distinguishable AdS geometries, and consider the potential interpretations of this result. Investigate the possibility that quantum gravity may possess computational capabilities beyond those of quantum computers, and discover how computational complexity might provide new constraints on reconciling gravity with quantum mechanics. Learn about this cutting-edge research based on joint work with Umesh Vazirani, presented by Lijie Chen from UC Berkeley at the Simons Institute.