Thermalization of quantum memories - a tensor networks approach

Angelo Lucia (U Complutense de Madrid)

Oct 04. 2022, 10:50 — 12:00

It is commonly believed that a 2D quantum memory cannot be self-correcting, in the sense that, when exposed to a thermal bath, its relaxation time will be bounded as a function of the system size. In this talk, I will present some recent results that confirm this belief, for the case of 2D Kitaev's quantum double models. The proof of this result is based on a representation of the Gibbs state of the quantum double models as a PEPS, which allows us to rigorously estimate the spectral gap of the correspoding parent Hamiltonian.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Tensor Networks: Mathematical Structures and Novel Algorithms (Thematic Programme)
Frank Pollmann (TU Munich)
Norbert Schuch (U of Vienna)
Frank Verstraete (Ghent U)