Donnerstag, 05.02.2026: Rapid thermalization of lattice CSS codes
Sebastian Stengele (TUM)
CSS codes, such as the Toric code, are a widely studied class of quantum
error-correcting codes. Understanding the thermalization time of these
systems is important not only for error correction but also for applications
like Gibbs sampling. We show that CSS codes on a lattice thermalize rapidly
in any dimension at sufficiently high temperatures. For a special subclass,
this rapid thermalization even holds at all positive temperatures. The
central idea underlying our approach is to exploit the structure of CSS
codes to decompose a quantity into two simpler, (almost) classical
components, allowing us to apply tools from classical statistical mechanics
to analyze the thermalization.
This is based on joint work with Ángela Capel, Li Gao, Angelo Lucia, David
Pérez-García, Antonio Pérez-Hernández, Cambyse Rouzé, and Simone Warzel.
| Uhrzeit: |
14:30 |
| Ort: |
C9A03 |
| Gruppe: |
Oberseminar Mathematical Physics |
| Einladender: |
Keppeler, Lemm, Pickl, Teufel, Tumulka |
Dienstag, 10.02.2026: Mixed Finite Element Methods for Elliptic Obstacle Problems
Dr. Francisco Javier Fuica Villagra (Universidad de Santiago de Chile)
Mixed variational formulations for the first-order system of the elastic membrane obstacle problem and the second-order system of the Kirchhoff–Love plate obstacle problem are proposed. The force exerted by the rigid obstacle is included as a new unknown. A priori and a posteriori error estimates are derived for both obstacle problems. The a posteriori error estimates are based on conforming postprocessed solutions. Numerical experiments conclude this presentation.
| Uhrzeit: |
14:15 |
| Ort: |
C4H33 |
| Gruppe: |
Gastvortrag |
| Einladender: |
Jork, Schätzle |
