Renormalization Group and Quantum Error Correction in Continuum Networks

Explore the connections between renormalization group techniques and quantum error correction in this 45-minute conference talk by Asato Tsuchiya. Delivered at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) during the Workshop on "Large-N Matrix Models and Emergent Geometry," delve into the world of tensor network models and their role in discrete bulk geometry emerging from boundary theories through quantum entanglement. Examine the need for continuum analogs of tensor networks to obtain continuum bulk geometry, and investigate how the scale dependence of wave functionals can provide such a continuum network. Discover an exact renormalization group equation for determining the scale dependence of wave functionals, and analyze the structure of quantum error correction in continuum networks. Gain insights into the crucial role of quantum error correction in the correspondence between bulk and boundary theories, advancing your understanding of emergent geometry and quantum information in theoretical physics.