PIRSA:23030111

Video URL

https://pirsa.org/23030111

Local Quantum Codes from Subdivided Manifolds

Portnoy, E. (2023). Local Quantum Codes from Subdivided Manifolds. Perimeter Institute for Theoretical Physics. https://pirsa.org/23030111

Portnoy, Elia. Local Quantum Codes from Subdivided Manifolds. Perimeter Institute for Theoretical Physics, Mar. 22, 2023, https://pirsa.org/23030111 

          @misc{ scivideos_PIRSA:23030111,
            doi = {10.48660/23030111},
            url = {https://pirsa.org/23030111},
            author = {Portnoy, Elia},
            keywords = {Quantum Information},
            language = {en},
            title = {Local Quantum Codes from Subdivided Manifolds},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2023},
            month = {mar},
            note = {PIRSA:23030111 see, \url{https://scivideos.org/pirsa/23030111}}
          }

Elia Portnoy Massachusetts Institute of Technology (MIT)

Talk numberPIRSA:23030111
DOI10.48660/23030111
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

For n≥3, we demonstrate the existence of quantum codes which are local in dimension n with V qubits, distance V^{(n−1)/n}, and dimension V^{(n−2)/n}, up to a polylog(V) factor. The distance is optimal up to the polylog factor. The dimension is also optimal for this distance up to the polylog factor. The proof combines the existence of asymptotically good quantum codes, a procedure to build a manifold from a code by Freedman-Hastings, and a quantitative embedding theorem by Gromov-Guth.

Zoom link:  https://pitp.zoom.us/j/96227350980?pwd=TEFtamRmTXg3dnBMNEhKUkpHbmVoZz09