Stability of topological purity under random local unitaries

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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Cited by in corpus (5)

• Magic-state resource theory for the ground state of the transverse-field Ising model
• Universal lower bound on topological entanglement entropy
• Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Determinants with Parametric Dependence
• Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Parametric Determinants in the Orthogonal Case
• No-cost Bell nonlocality certification from quantum tomography and its applications in quantum-magic-resource witnessing