Collection 2014 - T1 - Random walks and asymptopic geometry of groups.
Organizer(s)
Date(s)
05/05/2024
Quantum error correcting codes and asymptotic properties of 4-dimensional arithmetic hyperbolic manifolds
A family of quantum error correcting codes (QECC) is constructed out of congruence quotients of the 4- dimensional hyperbolic space. The parameters of these codes are expressed by some aymptotic properties of the manifolds and their fundamental groups. By estimating these parameters, we 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.
