PIRSA:17050099

Video URL

https://pirsa.org/17050099

Quasi-Conformal Quantum Error Correction Codes

Carteret, H. (2017). Quasi-Conformal Quantum Error Correction Codes. Perimeter Institute for Theoretical Physics. https://pirsa.org/17050099

Carteret, Hilary. Quasi-Conformal Quantum Error Correction Codes. Perimeter Institute for Theoretical Physics, May. 31, 2017, https://pirsa.org/17050099 

          @misc{ scivideos_PIRSA:17050099,
            doi = {10.48660/17050099},
            url = {https://pirsa.org/17050099},
            author = {Carteret, Hilary},
            keywords = {Other Physics},
            language = {en},
            title = {Quasi-Conformal Quantum Error Correction Codes},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2017},
            month = {may},
            note = {PIRSA:17050099 see, \url{https://scivideos.org/index.php/pirsa/17050099}}
          }

Hilary Carteret

Talk numberPIRSA:17050099
DOI10.48660/17050099
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

Existing proposals for topological quantum computation have encountered
difficulties in recent years in the form of several ``obstructing'' results.
These are not actually no-go theorems but they do present some serious
obstacles. A further aggravation is the fact that the known topological
error correction codes only really work well in spatial dimensions higher
than three. In this talk I will present a method for modifying a higher
dimensional topological error correction code into one that can be embedded
into two (or three) dimensions. These projected codes retain at least some
of their higher-dimensional topological properties. The resulting subsystem
codes are not discrete analogs of TQFTs and as such they evade the usual
obstruction results. Instead they obey a discrete analog of a conformal
symmetry. Nevertheless, there are real systems which have these features,
and if time permits I'll discuss some of these. Many of them exhibit
strange low temperature behaviours that might even be helpful for
establishing finite temperature fault tolerance thresholds.

This research is still very much a work in progress... As such it has
numerous loose ends and open questions for further investigation. These
constructions could also be of interest to quantum condensed matter
theorists and may even be of interest to people who like weird-and-wonderful
spin models in general.