Quantum Codes, Tensor Networks, and Quantum Spacetime
Abstract
This project will extend connections between quantum information and gravitational holography by elucidating the conditions under which quantum error correcting codes define holographic systems, and by incorporating further elements of gravitational holography into simple quantum information models. Chief among these is a symmetry called diffeomorphism invariance, which is a key feature of gravitational dynamics and is required for gravitational holography. We will also add dynamics to existing quantum codes to model time dependent bulk physics of the sort found in the interiors of black holes. Finally, we will use the fact that the boundary theory is often a local quantum field theory and associated tools from the so called Tomita Takesaki theory to further expand the bulk-boundary dictionary.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 14, 2022
- Source ID
- FA95501910360
Entities
People
- Xi Dong
Organizations
- Air Force Office of Scientific Research
- United States Air Force
- University of California, Santa Barbara