Geometric Analysis and Topology Seminar
4-Dimensional Arithmetic Hyperbolic Manifolds and Quantum Error Correcting Codes
Speaker: Alex Lubotzky, Hebrew University/NYU
Location: Warren Weaver Hall 517
Date: Friday, October 31, 2014, 11 a.m.
A family of quantum error correcting codes (QECC) is constructed out of congruence quotients of the 4- dimensional hyperbolic space. Using methods of systolic geometry over Z/2Z, we evaluate the parameters of these codes and disprove a conjecture of Zémor who predicted that such homological QECC do not exist. All notions will be defined and explained. A joint work with Larry Guth.