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Stability of topological purity under random local unitaries (2106.04600v4)
Published 8 Jun 2021 in quant-ph and cond-mat.str-el
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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