Stability of topological purity under random local unitaries

• URL: http://arxiv.org/abs/2106.04600v4
• Date: Thu, 24 Jun 2021 16:08:47 GMT
• Title: Stability of topological purity under random local unitaries
• Authors: Salvatore F.E. Oliviero, Lorenzo Leone, You Zhou and Alioscia Hamma
• Abstract summary: We provide an analytical proof of the robustness of topological entanglement under a model of random local perturbations. We 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.
• Score: 1.2008527035019914
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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