Building holographic code from the boundary

ADS seminar

Organizers：

数学物理团队

Speaker：

Wei Wang (TD Lee Institute, Jiaotong University)

Time：

Thur., 13:30-15:05, Sept. 19, 2024

Venue：

Qiuzhen Hall, Ningzhai

(Inside Tsinghua main campus)

Title：

Building holographic code from the boundary

Abstract:

Holographic quantum error-correcting code, the quantum-information structure hypothesized for the AdS/CFT correspondence, has being attracting increasing attention in new directions interrelating the studies of quantum gravity and quantum simulation. In this work, we initiate a novel approach for building holographic code that can be generally applied in potentially broad and interdisciplinary contexts. Our approach takes an “opposite” route to the conventional paradigm that is based on bulk tensor-networks. As illustrated in an exact model, we start from scalable descriptions of boundary qudits which can guide succinct quantum-circuit simulations, and rigorously show how the bulk qudits and the encoding structure emerge from boundary entanglement patterns. By investigating the entanglement patterns, we systematically unfold the hypothetical structure for bulk reconstruction and the details of the Ryu-Takayanagi formula in the formalism of operator-algebra quantum error correction, demonstrating desired properties that are not yet proved in the established models. Our work might offer a fresh perspective for the study of holographic code.

About the speaker:

Wei Wang obtained his Ph.D. in Physics from University of Oklahoma (U.S.) in 2017. Then he worked as a postdoc in Max Planck Institute for the Physics of Complex Systems (Germany). Now he is an independent postdoc in Tsung-Dao Lee Institute, Shanghai Jiao Tong university. His current work primarily focuses on interdisciplinary research at the intersection of quantum information, condensed matter physics, and high-energy physics.