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.
Stability of topological purity under random local unitaries / Oliviero, Salvatore F. E.; Leone, Lorenzo; Zhou, You; Hamma, Alioscia. - In: SCIPOST PHYSICS. - ISSN 2542-4653. - 12:096(2021). [10.21468/SciPostPhys.12.3.096]
Stability of topological purity under random local unitaries
Alioscia Hamma
2021
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.File in questo prodotto:
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