Stability of topological purity under random local unitaries
Quantum Physics
2022-06-29 v4 Strongly Correlated Electrons
Abstract
In this work, we provide an analytical proof of the robustness of topological entanglement under a model of random local perturbations. We define a notion of average topological subsystem purity and show that, in the context of quantum double models, this quantity does detect topological order and is robust under the action of a random quantum circuit of shallow depth.
Cite
@article{arxiv.2106.04600,
title = {Stability of topological purity under random local unitaries},
author = {Salvatore F. E. Oliviero and Lorenzo Leone and You Zhou and Alioscia Hamma},
journal= {arXiv preprint arXiv:2106.04600},
year = {2022}
}
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