Video URL
https://pirsa.org/20040085Petz map and Python’s lunch
APA
Zhao, Y. (2020). Petz map and Python’s lunch. Perimeter Institute for Theoretical Physics. https://pirsa.org/20040085
MLA
Zhao, Ying. Petz map and Python’s lunch. Perimeter Institute for Theoretical Physics, Apr. 14, 2020, https://pirsa.org/20040085
BibTex
@misc{ scivideos_PIRSA:20040085, doi = {10.48660/20040085}, url = {https://pirsa.org/20040085}, author = {Zhao, Ying}, keywords = {Quantum Fields and Strings}, language = {en}, title = {Petz map and Python{\textquoteright}s lunch}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2020}, month = {apr}, note = {PIRSA:20040085 see, \url{https://scivideos.org/pirsa/20040085}} }
Ying Zhao Institute for Advanced Study (IAS) - School of Natural Sciences (SNS)
Abstract
We look at the interior operator reconstruction from the point of view of Petz map and study its complexity. We show that Petz maps can be written as precursors under the condition of perfect recovery. When we have the entire boundary system its complexity is related to the volume / action of the wormhole from the bulk operator to the boundary. When we only have access to part of the system, Python's lunch appears and its restricted complexity depends exponentially on the size of the subsystem one loses access to.