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Stability of topological purity under random local unitaries

Salvatore F. E. Oliviero, Lorenzo Leone, You Zhou, Alioscia Hamma

SciPost Phys. 12, 096 (2022) · published 17 March 2022

Abstract

In this work, we provide an analytical proof of the robustness of a form of topological entanglement under a model of random local perturbations. We define the notion of topological 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 shallow quantum circuit.


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