4-dimensional Arithmetic Hyperbolic Manifolds and Quantum Error Correcting Codes |
| TYPE | Quantum Information Seminar |
| Speaker: | Alex Lubotsky |
| Affiliation: | Mathematics Department, Hebrew University of Jerusalem |
| Date: | 13.06.2013 |
| Time: | 15:45 |
| Location: | |
| 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. |