future events

4-dimensional Arithmetic Hyperbolic Manifolds and Quantum Error Correcting Codes

TYPEQuantum Information Seminar
Speaker:Alex Lubotsky
Affiliation:Mathematics Department, Hebrew University of Jerusalem
Remark:Geometry and Topology seminar
Abstract: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 Ze'mor who predicted that such homological QECC do not exist. All notions will be defined and explained.

A joint work with Larry Guth.