PIRSA:22030033

Video URL

https://pirsa.org/22030033

Optimal Thresholds for Fracton Codes and Random Spin Models with Subsystem Symmetry

Song, H. (2022). Optimal Thresholds for Fracton Codes and Random Spin Models with Subsystem Symmetry . Perimeter Institute for Theoretical Physics. https://pirsa.org/22030033

Song, Hao. Optimal Thresholds for Fracton Codes and Random Spin Models with Subsystem Symmetry . Perimeter Institute for Theoretical Physics, Mar. 02, 2022, https://pirsa.org/22030033 

          @misc{ scivideos_PIRSA:22030033,
            doi = {10.48660/22030033},
            url = {https://pirsa.org/22030033},
            author = {Song, Hao},
            keywords = {Quantum Information},
            language = {en},
            title = {Optimal Thresholds for Fracton Codes and Random Spin Models with Subsystem Symmetry },
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2022},
            month = {mar},
            note = {PIRSA:22030033 see, \url{https://scivideos.org/pirsa/22030033}}
          }

Hao Song McMaster University

Talk numberPIRSA:22030033
DOI10.48660/22030033
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

Fracton models provide examples of novel gapped quantum phases of matter that host intrinsically immobile excitations and therefore lie beyond the conventional notion of topological order. Here, we calculate optimal error thresholds for quantum error correcting codes based on fracton models. By mapping the error-correction process for bit-flip and phase-flip noises into novel statistical models with Ising variables and random multi-body couplings, we obtain models that exhibit an unconventional subsystem symmetry instead of a more usual global symmetry. We perform large-scale parallel tempering Monte Carlo simulations to obtain disorder-temperature phase diagrams, which are then used to predict optimal error thresholds for the corresponding fracton code. Remarkably, we found that the X-cube fracton code displays a minimum error threshold (7.5%) that is much higher than 3D topological codes such as the toric code (3.3%), or the color code (1.9%). This result, together with the predicted absence of glass order at the Nishimori line, shows great potential for fracton phases to be used as quantum memory platforms. If time allows, I will also present some of our more recent progress on fractons.

Reference: arXiv:2112.05122.

Zoom Link: https://pitp.zoom.us/j/97053396111?pwd=Ny9tK295dGVacENJMzg0aHRObjZEZz09