BEGIN:VCALENDAR VERSION:2.0 X-WR-CALNAME;VALUE=TEXT:Elia Portnoy (MIT): Quantum error-correcting codes, systolic geometry, and quantitative embeddings PRODID:-//Harvard events data//EN BEGIN:VEVENT UID:event_1892056_0 SUMMARY:Elia Portnoy (MIT): Quantum error-correcting codes, systolic geometry, and quantitative embeddings DESCRIPTION:

Zoom link: https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09

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.

LOCATION:Jefferson 356 and Zoom STATUS:CONFIRMED DTSTART:20241203T213000Z DTEND:20241203T223000Z END:VEVENT END:VCALENDAR