Topological $X$-states in a quantum impurity model

• URL: http://arxiv.org/abs/2501.13914v2
• Date: Sun, 26 Jan 2025 02:29:54 GMT
• Title: Topological $X$-states in a quantum impurity model
• Authors: Moallison F. Cavalcante, Marcus V. S. Bonança, Eduardo Miranda, Sebastian Deffner,
• Abstract summary: Topological qubits are inherently resistant to noise and errors. We demonstrate the emergence of topological $X$-states in the long-time response of a locally perturbed quantum impurity model.
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• Abstract: Topological qubits are inherently resistant to noise and errors. However, experimental demonstrations have been elusive as their realization and control is highly complex. In the present work, we demonstrate the emergence of topological $X$-states in the long-time response of a locally perturbed quantum impurity model. The emergence of the double-qubit state is heralded by the lack of decay of the response function as well as the out-of-time order correlator signifying the trapping of excitations, and hence information in local edge modes.

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