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arXiv · 2106.04600

Stability of topological purity under random local unitaries

Salvatore F. E. Oliviero·Lorenzo Leone·You Zhou·Alioscia Hamma
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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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Salvatore F. E. Oliviero, Lorenzo Leone, You Zhou, Alioscia Hamma. 2021-06-08. Stability of topological purity under random local unitaries. https://doi.org/10.21468/scipostphys.12.3.096

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