Local topological order inhibits thermal stability in 2D
Quantum Physics
2014-12-02 v1
Abstract
We study the robustness of quantum information stored in the degenerate ground space of a local, frustration-free Hamiltonian with commuting terms on a 2D spin lattice. On one hand, a macroscopic energy barrier separating the distinct ground states under local transformations would protect the information from thermal fluctuations. On the other hand, local topological order would shield the ground space from static perturbations. Here we demonstrate that local topological order implies a constant energy barrier, thus inhibiting thermal stability.
Keywords
Cite
@article{arxiv.1209.5750,
title = {Local topological order inhibits thermal stability in 2D},
author = {Olivier Landon-Cardinal and David Poulin},
journal= {arXiv preprint arXiv:1209.5750},
year = {2014}
}