Power-law divergence of fidelity susceptibility and logarithmic divergence of an entanglement witness mark the topological-to-non-topological transitions in locally perturbed Kitaev and color codes; critical points are located by finite-size scaling and confirmed by mapping to the 2D Ising model.
Thus, by the theorem in [35], all four necessary and sufficient conditions are satisfied, and{S α}constructs a local witness operator for the subsystemΩ
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Entanglement and fidelity across quantum phase transitions in locally perturbed topological codes with open boundaries
Power-law divergence of fidelity susceptibility and logarithmic divergence of an entanglement witness mark the topological-to-non-topological transitions in locally perturbed Kitaev and color codes; critical points are located by finite-size scaling and confirmed by mapping to the 2D Ising model.