# Elia Portnoy (MIT): Quantum error-correcting codes, systolic geometry, and quantitative embeddings #### calendar\_today Date and Time **December 3, 2024** 04:30PM - 05:30PM EST #### pin\_drop Location **Jefferson 356 and Zoom** Zoom link: Passcode: 657361 Speaker: Elia Portnoy Title: Quantum error-correcting codes, systolic geometry, and quantitative embeddings Abstract: There have been several recent breakthroughs constructing good quantum codes which have *N* qubits with distance and dimension Ω(*N*). However, these codes cannot be implemented in 3 dimensions - there is no way to place the qubits on a lattice so that every check only involves the qubits in some small ball. Bravyi and Terhal have shown that such 3d codes with *N* qubits can have distance at most *O*(*N*2/3) and dimension at most *O*(*N*1/3), given that distance. In this talk I'll discuss how to construct 3d codes with parameters that match these bounds. This relies on the known good codes, a connection between codes and systolic geometry made by Freedman-Hastings, and a quantitative embedding theorem. Share on:- [ Facebook ](#) - [ Twitter ](#) - [ Linkedin ](#) Save: [ Add to calendar calendar\_today ](https://mathpicture.fas.harvard.edu/node/1892056/event-feed.ics) Copy link link