Video URL
https://pirsa.org/17090066Towards holography via quantum source-channel codes
APA
Pastawski, F. (2017). Towards holography via quantum source-channel codes . Perimeter Institute for Theoretical Physics. https://pirsa.org/17090066
MLA
Pastawski, Fernando. Towards holography via quantum source-channel codes . Perimeter Institute for Theoretical Physics, Sep. 20, 2017, https://pirsa.org/17090066
BibTex
@misc{ scivideos_PIRSA:17090066, doi = {10.48660/17090066}, url = {https://pirsa.org/17090066}, author = {Pastawski, Fernando}, keywords = {Quantum Information}, language = {en}, title = {Towards holography via quantum source-channel codes }, publisher = {Perimeter Institute for Theoretical Physics}, year = {2017}, month = {sep}, note = {PIRSA:17090066 see, \url{https://scivideos.org/index.php/pirsa/17090066}} }
Fernando Pastawski California Institute of Technology
Abstract
While originally motivated by quantum computation, quantum error correction (QEC) is currently providing valuable insights into many-body quantum physics such as topological phases of matter. Furthermore, mounting evidence originating from holography research (AdS/CFT), indicates that QEC should also be pertinent for conformal field theories. With this motivation in mind, we introduce quantum source-channel codes, which combine features of lossy-compression and approximate quantum error correction, both of which are predicted in holography. Through a recent construction for approximate recovery maps, we derive guarantees on its erasure decoding performance from calculations of an entropic quantity called conditional mutual information. As an example, we consider Gibbs states of the transverse field Ising model at criticality and provide evidence that they exhibit non-trivial protection from local erasure. This gives rise to the first concrete interpretation of a bona fide conformal field theory as a quantum error correcting code. We argue that quantum source-channel codes are of independent interest beyond holography.